Find the distance between 0,3 and -2-5 round nearest hundreth

Answers

Answer 1
The answer is 8.25
The formula for distance will be the √ (x2-x1)²+(y2-y1)². (as you can see)
Don't be intimidated! 
Step one:
Take the two cordinates (0,3) and (-2,-5)
Step two: It doesn't matter which one you choose, but choose one to be your x1,y1 and another to be your x2,y2 
In this situation I choose (0,3) to represent (x1,y1) and (-2,-5) to represent (x2,y2). DO NOT over think this, you got it!
Final Step:
Simply plug those numbers into the represented formula it should end up like 
√(-2-0)²+(-5-3)²
Simply solve it yourself or use a calculator such as Desmos to find you answer 

Hope this helps!
Find The Distance Between 0,3 And -2-5 Round Nearest Hundreth
Answer 2
I want to draw your attention to the connection finding the distance between two points has with one of the oldest and most ubiquitous theorems in mathematics: the Pythagorean Theorem. If you'll recall, the Pythagorean Theorem states that, in any right triangle, the sum of the squares of its legs is equal to the square of its hypotenuse (the side opposite the triangle's right angle), or more formally:

a²+b²=c², where a and b are the length of the legs of the triangle, and c is the length of its hypotenuse.

What does that have to do with finding the distance between two points? For that, I want you to take a look at the two images I've attached to this post. If we just plot the two points on the x-y plane and draw a line between them, the connection to Pythagoras isn't too obvious, but when we connect the x and y components of the points, it should become immediately clear. The vertical and horizontal components of the points combine with the diagonal to form a right triangle, and the distance is the length of its hypotenuse!

We can't apply the theorem yet, though; we'll first need to find the lengths of the legs before we can determine the length of the hypotenuse. For that, we'll need to find the distance between each of the points' corresponding coordinates. To find those, we just need to subtract those coordinates from one another. We find the distance between the x coordinates to be 0 - (-2) = 2 and the distance between the y coordinates to be 3 - (-5) = 8.
 
(Note that we could've chosen to do the subtraction the other way around, too, obtaining negative differences. Usually, we'd deal with these by taking the absolute value of the result, but in this case, our answers will get squared away - literally - by the Pythagorean Theorem.)

Now that we have the legs of the triangle, we're ready to find the hypotenuse. We enter our values in:

2²+8² = d²
4 + 64 = d²
68 = d²
√68 = d

(we've chosen d here to represent "distance," though it plays the same role c did in the other statement of the theorem)

And from there, you can use the calculator of your choosing to get a good approximation.

One last note: here's a generalization of everything we did here, now that you have some background for why it is the way it is, and where exactly it comes from:

For any two points [tex](x_1,y_1), (x_2,y_2)[/tex]:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Find The Distance Between 0,3 And -2-5 Round Nearest Hundreth
Find The Distance Between 0,3 And -2-5 Round Nearest Hundreth

Related Questions

20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma
12x=54-6y
-17x=-62-6y

Answers

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer:  {x = 4 {y = 1


Please note the { are supposed to span over both equations but it interfaces doesn't  allow it. Please see attachment for clarification.

What is the mean of 85,89,95,71,80,85,76

Answers

Greetings!

To find the mean of a set of numbers, you can add up the numbers and divide it by the amount of numbers:

85+89+95+71+80+85+76=581
581/7=83

The mean would be 83.

Hope this helps.
-Benjamin

Find the mean of : 85, 89, 95, 71, 80, 85, 76

Remember!! To find the mean, simply add up all of the numbers together, then divide it by how many numbers you added together :)

So, :

85 + 89 + 95 + 71 + 80 + 85 + 76 = ?

Simplify.

581 :)

Then, divide this by 7.

Why by 7?

Simply because that's how many numbers that you added together! 

581 ÷ 7 = ?

Simplify

83

So, our mean is 83

~Hope I helped!~

Geometry.

The circle described by the equation (x - 3)² + (y + 4)² = 9 is translated 5 units to the left and one unit up.
At what point is the center of the image circle located?

A) (-8,5)
B) (8, -5)
C) (2, -3)
D) (-2, -3)

Answers

Greetings!

Answer:

New coordinates are (-2, -3)

Step-by-step explanation:

First we need the centre coordiates. In (x - a)² + ( y - b)² = r² , a is the x coordinate for the circle centre and b is the y coordinate for the circle centre, so this means the coordinate of the circle centre is:

(3 , -4)

If moving to the left 5 spaces, then 5 has to be subtracted from the x coordinate:

3 - 5 = -2

Now moving one up you add one to the y coordinate:

-4 + 1 = -3

So the new coordinates are (-2, -3)


Hope this helps!

The formula for kinetic energy is shown. In the formula, m represents mass and v represents velocity. If mass is measured in grams and velocity is measured in centimeters per minute, what is the unit for kinetic energy
A) grams-centimeters per minute

B) grams-centimeters squared per minute
C) grams-centimeters per minute squared

D) grams-centimeters squared per minute squared

Answers

Hello,

Answer D

E=mv²/2 ==> gram*cm²/min²
BUT it should be JOULES!!!

The unit for kinetic energy, when mass is in grams and velocity is in centimeters per minute, is D) grams-centimeters squared per minute squared.

The formula for kinetic energy is given by KE = 1/2 mv², where m represents mass and v represents velocity. To find the units of kinetic energy, we need to plug in the units of mass and velocity into the formula.

If m is measured in grams (g) and v is measured in centimeters per minute (cm/min), the units for velocity squared will be (cm/min)². Therefore:

KE = 1/2 (grams) (centimeters/minute)²

When we square velocity (cm/min), we get cm²/min². Thus, the units for kinetic energy become:

D) grams-centimeters squared per minute squared (g∙cm²/min²)

A girl delivering newspapers covers her route by traveling 4 blocks west, 3 blocks north, then 4 blocks east. what is her resultant displacement? 1. 4.47214 2. 5.38516 3. 3.60555 4. 4.24264 5. 7.28011 6. 2.0 7. 1.41421 8. 1.0 9. 3.0 10. 4.12311 answer in units of blocks

Answers

The correct answer to this question is 3.0 Explanation: Since the displacement is defined to be the change in position of an object. Displacement is a vector. This means it has a direction as well as a magnitude and is represented visually as an arrow that points from the initial position to the final position. Displacement = âš3^2+(4-4)^2) = 3

What is the answer to this question?

Answers

2A on 2A + 3B + 3C = 8 pieces

The probability:

[tex]\dfrac{2}{8}=\dfrac{2:2}{8:2}=\dfrac{1}{4}[/tex]

[tex]\dfrac{1}{4}=\dfrac{1}{4}\cdot100\%=25\%[/tex]

Answer: 25%

how do you graph y=-6x+3 ?

Answers

start on 3 as your y-intercept

then do down 6 points and over one

If mP = 85°, which is a possible measure for Y?
mY = 80°mY = 85°mY = 100°mY = 180

Answers

Answer:c is the answer

Step-by-step explanation:

Answer:

C. m∠Y = 100°

Step-by-step explanation:

Simplify (−3.5)(−3)(−6.4).
−672
−67.2
67.2
672

Answers

 (−3.5)(−3)(−6.4) = -67.2

answer
−67.2 

Answer:

-67.2

Step-by-step explanation:

Simplify the given expression (−3.5)(−3)(−6.4)

WE apply PEMDAS rule to simplify it

Lets start with parenthesis part

We multiply first two parenthesis

(−3.5)(−3)

Negative and negative becomes positive

(−3.5)(−3) is 10.5

Now we multiply it with -6.4. Positive times negative is negative.

[tex]10.5 \cdot (-6.4)= -67.2[/tex]

[tex](-3.5)(-3)(-6.4)=-67.2[/tex]

A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 4343 states. what is the probability that she selects the route of fourfour specific​ capitals? is it practical to list all of the different possible routes in order to select the one that is​ best?

Answers

If the 4 states have to be in a specific order say ABCD, then the total number of different possible routes is:

 43P4 = 2,961,840

So the probability is:

1 / 2,961,840 = 3.38 x 10^-7

 

But if the 4 states can be in any order such as DBAC, ACBD etc, then the total number of different possible routes is:

 43C4 = 123,410

So the probability is:

1 / 123,410 = 8.1 x 10^-6

 

No I don’t think it is practical to list all the different possible routes to select the one that is best. We can simply use mathematical models to solve for that one.

 

Is the contrapositive of the following conditional true? If v≥4, then v≤4. yes or no

Answers

Sent the solution with explanation.

The contrapositive of 'If v≥4, then v≤4' is not true because it would imply 'If v>4, then v<4', which is logically inconsistent.

No, the contrapositive of the given conditional statement 'If v≥4, then v≤4' is not true. This is because the contrapositive of a conditional statement is always logically equivalent to the original statement. The contrapositive inverts and negates both the hypothesis and the conclusion. So the contrapositive of the original statement would be 'If v>4, then v<4', which does not hold true as a statement can't be both greater and less than 4 at the same time.

Contrapositive is the term used when the implication and its converse are both negated. In the context of the given conditional statement, this practice does not validate the original statement.

The concept of determining which reactant is limiting and which is in excess is akin to determining the number of sandwiches that can be made from a set number of ingredients. assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandwiches that can be prepared from 44 slices of bread and 57 slices of cheese.

Answers

Given that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese.

The number of whole cheese sandwiches that can be prepared from 44 slices of bread  is given by 44 / 2 = 22

The number of whole cheese sandwiches that can be prepared from 57 slices of cheese is 57 / 3 = 19.

Therefore, the number of whole cheese sandwiches that can be prepared from 44 slices of bread and 57 slices of cheese is 19.
19 sandwiches with cheese as the limiting ingredient. 22 sandwiches contain 44 slices of bread. 19 sandwiches contain 37 slices of cheese. The limiting ingredient is cheese.

Assume you have such a watch. if a minimum of 18.0% of the original tritium is needed to read the dial in dark places, for how many years could you read the time at night? assume first-order kinetics.

Answers

Given that the half life of 3H is 12.3 years.

The amount of substance left of a radioactive substance with half life of [tex]t_{ \frac{1}{2} }[/tex] after t years is given by

[tex]N(t)=N_0\left(\frac{1}{2} \right)^{ \frac{t}{t_{\frac{1}{2}} }[/tex]

Therefore, the number of years it will take for 18% of the original tritinum to remain is given by

[tex]18 \% = 100 \% \left(\frac{1}{2} \right)^{ \frac{t}{12.3}} \\ \\ \Rightarrow\left(\frac{1}{2} \right)^{ \frac{t}{12.3}} =0.18 \\ \\ \Rightarrow\frac{t}{12.3}\ln\left(\frac{1}{2} \right)=\ln0.18 \\ \\ \Rightarrow\frac{t}{12.3}= \frac{\ln0.18}{\ln\left(\frac{1}{2} \right)} = \frac{-1.715}{-0.6931} =2.474\\ \\ \Rightarrow t=2.474(12.3)=30.4[/tex]

Therefore, the number of years that the time could be read at night is 30.4 years.

Final answer:

You could read the time on a tritium-based watch in dark places for approximately 34.87 years before the tritium decays below 18% of its original amount, necessitating this calculation using first-order kinetics and the half-life of tritium (12.32 years).

Explanation:

To calculate how many years you could read the time at night with a watch containing tritium, we need to understand first-order kinetics and the half-life of tritium.

Tritium has a half-life of 12.32 years, meaning after 12.32 years, half of the original tritium remains.

The question specifies that a minimum of 18% of the original tritium is needed for readability in dark places.

To find the number of years you could read the time, we use the formula for first-order decay:

[tex]N = N_0(1/2)^{(t/T)[/tex],

where N is the final amount of substance left, N_0 is the initial amount of substance, t is the time in years, and T is the half-life (12.32 years in this case).

We rearrange the formula to solve for t:

t = T*log(N/N_0)/log(1/2).

Plugging in the values, assuming N/N_0 = 0.18 (18%), and T = 12.32 years, we get:

t = 12.32*log(0.18)/log(1/2) ≈ 34.87 years.

Therefore, you could read the time on a tritium-based watch in dark places for approximately 34.87 years before the tritium decays below the level necessary for visibility.

Use the variable t for the number of teeth in one row. Write an expression to determine the number of teeth in a sharks mouth.

Answers

if t represents the number of teeth in one row...and a shark has 3 rows of teeth...then the expression to find out how many teeth he has in his entire mouth is : 3t
Final answer:

The total number of teeth in a shark's mouth can theoretically be determined by multiplying the number of teeth in a single row by the total number of rows of teeth. The multiplication will be defined by the particular shark species.

Explanation:

Assuming that we want to find out the total number of teeth in a shark's mouth and we know the number of teeth in one row (coded as t), we would need to multiply this number by the number of rows of teeth in the shark's mouth. For instance, if a shark has two rows of teeth, the total number of teeth would be 2t.

It is important to recognize that each species of shark might have a different number of rows of teeth, so without specifying the particular species, the exact total of teeth can't be computed but it would still be 't' times the number of rows. But in general, a Sand Tiger Sharks like Carcharias Taurus for example, can have around 3 to 7 rows of teeth.

Learn more about Math Expression of Shark's Teeth here:

https://brainly.com/question/22593257

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Jenny, Ali and Eric have a total of $97 in their wallets. Ali has $5 more than Jenny . Eric has 2 times what Jenny has. How much does each have?

Answers

so make them all x

Jenny = x
Ali = x+5
Eric - 2x

2x + x + 5 + x = 97
4x = 97 - 5
x = 23

Jenny has 23
]Ali has 28
Eric has 46
j + a + e = 97
a = j + 5
e = 2j

j + j + 5 + 2j = 97
4j + 5 = 97
4j = 97 - 5
4j = 92
j = 92/4
j = 23 <=== what Jenny has

a = j + 5
a = 23 + 5
a = 28 <=== what Ali has

e = 2j
e = 2(23)
e = 46 <=== what Eric has

The demand equation for soccer tournament T-shirts is xy − 5,000 = y where y is the number of T-shirts the Enormous State University soccer team can sell at a price of $x per shirt. Find dy dx x = 6 . dy/dx x = 6 = T-shirts per dollar Interpret the result. When the price is set at $6, the demand is by T-shirts per $1 increase in price.

Answers

The given equation is:

x y – 5000 = y

Rewrite this to create an explicit equation:

x y – y = 5000

y ( x – 1) = 5000

y = 5000 / (x – 1)

Derive to get dy / dx:

dy = - 5000 dx / (x – 1)^2

dy / dx = - 5000 / (x – 1)^2

 

So plugging in x = 6,

dy / dx = - 5000 / (6 – 1)^2

dy / dx = - 200

Answer:

[tex]\frac{dy}{dx}|_{x=6}= -200[/tex]

Step-by-step explanation:

Given : Demand equation [tex]xy − 5,000 = y[/tex]

To Find [tex]\frac{dy}{dx}|_{x=6}[/tex]

Solution :

[tex]xy- y= 5000[/tex]

[tex]y(x-1)= 5000[/tex]

[tex]y= \frac{5000}{x-1}[/tex]

Differentiating with respect to x

[tex]\frac{dy}{dx}= \frac{-5000}{(x-1)^2}[/tex]

Now substitute x = 6

[tex]\frac{dy}{dx}|_{x=6}= \frac{-5000}{(6-1)^2}[/tex]

[tex]\frac{dy}{dx}|_{x=6}= \frac{-5000}{5^2}[/tex]

[tex]\frac{dy}{dx}|_{x=6}= \frac{-5000}{25}[/tex]

[tex]\frac{dy}{dx}|_{x=6}= -200[/tex]

Hence [tex]\frac{dy}{dx}|_{x=6}= -200[/tex]  =T-shirts per dollar

The function c(x) = 0.5x+70 c(x) = 0.5x+70 represents the cost cc (in dollars) of renting a truck from a moving company, where xx is the number of miles you drive the truck.

Answers

I believe we are to find for values in this problem.

a. The graph of the function

b. The domain and range

c. The slope

d. The c intercept value

 

Answers:

a. see the graph photo attached

 

b. The domain is the set of all x that can be input to the function. Since x is the distance and we know that distance cannot be negative hence the domain is:

x ≥ 0

So the range starts from x = 0:

c (x) = 0.5 * 0 + 70 = 70

Therefore the range is:

c ≥ 70

 

Domain: x ≥ 0                     Range: c ≥ 70

 

c. A linear equation has a general form of:

y = mx + b

 

where m is the slope

From the given equation, the slope is 0.5.

 

slope = 0.5

 

d. The c intercept is simply the value of c when x is equal to 0

 

c intercept = 70

 

Answer:Given function: c(x) = 0.5x+70.Where c is the cost (in dollars) and x is the number of miles you drive the truck.If we compare given function by slope-intercept form y=mx+b, we get Slope m = 0.5 in fractions could be written as 1/2.And y-intercept b =70.So, in order to graph it, we need to plot y-intercept at 70 first and then plot some more points using rise/run = 1/2.The red line is the graph for the given function.We can see that starting value of cost is $70 for 0 number of miles.x values represents domain and C(x) represents range.We can take x values greater than or equal to 0 and C values greater than equal to 70.Therefore, Domain: x≥0 and Range : C(x) ≥ 70.

Step-by-step explanation:Credit:User named PiaDeveau thanks for providing the answer and hope this helps

:)

the volume of a box is 1344 cubic inches. how many cubic inches are in one cubic foot? what is the volume of the box in cubic feet?

Answers

there are 1728 cubic inches in one cubic foot.
A cubic foot is 12"
12* 12" * 12" = 1728 cu/inches
therefore
1344/1728 =. 78 cu ft

pick any number and add 1 to it. find the sum of the new number and the original number. Add 9 to the sum. Divide the new sum by 2 and subtract the original number from the quotient

Answers

The correct answer is x+1 

Does anyone knows the answer

Answers

For what ? Where’s the picture
I had the same problem but got it wrong

What does the division fact 30 ÷ 5 = 6 mean?

Answers

It means 6*5=30 because 30 divided by 6= 5

colorado often experiences snowstorms resulting in multiple inches of snow. During the last snowstorm, the snow accumulated at 4/5 inch snow per hour. If snows continue at this rate for 10 hours how much snow will accumulate?

Answers

multiply 4/5 by 10

4/5 * 10 = 40/5 = 8 inches total

The anova from a randomized complete block experiment output is shown below. source df ss ms f p treatment 4 1010.56 ? 29.84 ? block ? ? 64.765 ? ? error 20 169.33 ? total 29 1503.71 (a) fill in the blanks. you may give bounds on the p-value. (b) how many blocks were used in this experiment? (c) what conclusions can you draw?

Answers

Source        DF     SS           MS         F          PTreatment   4       1010.56    252.64   29.84   3.545E-08Block           5       323.825   64.765   7.649    0.00037Error           20     169.33      8.467 Total           29     1503.71


d.f. for blocks =b-1= 29-(20+4)= 29-24=5Hence here b=6 blocks were used. MS for treatment  Ms for error =  So SS for Blocks = MS * df =64.765*5 = 323.825F for block =  p value for treatment using excel : 'fdist(29.84,4,20)' = 3.545E-08p value for block : 'fdist(7.649,5,20)' = 0.00037Here p value for treatment ( 0.0000000354) <   ( 0.05 )Hence we reject null hypothesis.Also p value for block (0.00037 ) <   ( 0.05 )Hence we reject null hypothesisConclusion : There is difference between treatment means as well as block means.

The missing mean square (MS) for the treatment is 252.64, and there were 6 blocks used in the experiment. The p-value is less than 0.01, indicating a statistically significant effect of the treatment.

To fill in the blanks of the ANOVA table provided, we will perform some calculations. The mean square (MS) for the treatment can be found by dividing the sum of squares (SS) for the treatment by its degrees of freedom (df). Hence, for the treatment:

MS treatment = SS treatment / df treatment = 1010.56 / 4 = 252.64

Given that the total df equals 29 and the df for treatment and error sum up to 24 (4 + 20), the df for blocks will be:

df total - df treatment - df error = 29 - 4 - 20 = 5

Therefore, the number of blocks used in this experiment equals the df for blocks plus 1, giving us:

Number of blocks = df blocks + 1 = 5 + 1 = 6 blocks

As for the p-value associated with the F-statistic, we cannot calculate the exact value, but it is indeed lower than the conventional alpha levels (0.05, 0.01). So we describe the p-value as being less than 0.01

Conclusions:

With an F-statistic of 29.84 and a p-value much lesser than conventional alpha levels, we can conclude that there is a statistically significant effect of the treatment on the outcome variable.

The specific p-value bounds are not provided, but given that it is very low, the results are statistically significant. Thus, we can reject the null hypothesis that there is no effect of the treatment.

What is a equivalent fraction for 4/21

Answers

One equivalent fraction for 4/21 could be 8/42.

Final answer:

An equivalent fraction for 4/21 can be found by multiplying the numerator and denominator by the same non-zero number, such as 2 to get 8/42.

Explanation:

An equivalent fraction for 4/21 is a fraction that has the same value but is expressed with different numerator and denominator. To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the same non-zero number. For example, if we multiply the numerator and denominator by 2, we will get 8/42, which is an equivalent fraction to 4/21. It's important to note that this new fraction can be simplified further, just like 4/21 can be simplified to its lowest terms if there were any common factors.

The table shows the heights and weights of a few students in a class.

Height (inches) Weight (pounds)
58 122
59 128
60 126
62 133
63 145
64 136
66 144
68 150
70 152

Complete the following sentences based on your observations.

The data seems to have a correlation coefficient close to .

This indicates that the weight of a student as the height of the student increases.

NextReset

Answers

Final answer:

The data on student heights and weights suggests a strong positive correlation, implying that as a student's height increases, their weight tends to increase as well.

Explanation:

The data provided on student's heights and weights suggests a linear relationship. To complete the sentences based on the data:

The data seems to have a correlation coefficient close to positive one. This indicates that the weight of a student increases as the height of the student increases.

In statistics, when we observe that as one variable increases, the other also increases, we describe this as a positive correlation. A positive correlation coefficient closer to +1 implies a strong positive correlation, meaning that generally taller students in the given data set tend to weigh more.

Final answer:

The correlation coefficient for the given data is approximately 0.86, indicating a positive correlation between height and weight.

Explanation:

The data seems to have a correlation coefficient close to 0.86. This indicates that the weight of a student increases as the height of the student increases.

write a real world situation that can be modeled by the inequality
46h > 86 + 25h.

Answers

Let's say you're renting a boat

Let h = number of hours you rent the boat

if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars

Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper. 

Over the course of a day, you checked 250 total mousetraps and determined that 50 of them were perfectly made. Approximately what percentage of the mousetraps you checked was perfectly made?

Answers

20% you divide them and BOOM answer

The quadratic x^2-6x+66 can be written in the form (x+b)^2+c, where b and c are constants. What is b+c?


Please help me!!!!!!!!

Answers

Complete the square!

x^2-6x+66
=((x-3)^2-9) + 66
=(x-3)^2+57
so
b=-3, c=57
b+c=-3+57=54

The sum of b and c is equal to 54.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given is the following quadratic equation -

x² - 6x + 66

x² - 6x + 9 - 9 + 66

x² - 3x - 3x + 9 - 9 + 66

x(x - 3) - 3(x - 3) - 9 + 66

(x - 3)² + 57

The given form of resultant is -

(x + b)² + c

On comparing, we get -

b = - 3

c = 57

Therefore -

b + c = -3 + 57 = 54

Therefore, the sum of b and c is equal to 54.

To solve more questions on quadratic equation, visit the link below-

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Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk?

Answers

9:6
is the ratio of pancake to milk

Answer:

I just got it right the answer is 9:6

Step-by-step explanation:

How do I solve this promblem

Answers

At first glance, this problem seems cumbersome, but the great thing about the properties of logarithms is that they allow us to break our problem down into chunks and sort through each on its own.

Let's look at what we've been given:

[tex]\log_3{(x^{20}\cdot \sqrt[3]{y^6} )[/tex]

We can start by using the property that [tex]\log_n(a\cdot b) = \log_na+\log_nb[/tex] to separate our single logarithm into the sum of two:

[tex]\log_3x^{20}+\log_3\sqrt[3]{y^6}[/tex]

Next, let's simplify the term [tex] \sqrt[3]{y^6} [/tex] into something a little more workable. We can turn the radical [tex] \sqrt[3]{\ } [/tex] into the rational exponent 1/3, which lets us obtainin a new form for the y term:

[tex]y^{6(1/3)}=y^{6/3}=y^2[/tex]

We now have:

[tex]\log_3x^{20}+\log_3y^2[/tex]

We can now use the property that [tex]\log_na^x=x\log_na[/tex] to bring the exponents on the x and the y out front and obtain our final answer:

[tex]\log_3x^{20}+\log_3y^2=20\log_3x+2\log_3y[/tex]

Where 20 is our A and 2 is our B
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