I need help with this PLEASE SHOW WORK

I Need Help With This PLEASE SHOW WORK

Answers

Answer 1

Answer:

RM  ≈ 6.08 ( to 2 dec. places )

Step-by-step explanation:

to calculate the distance use the distance formula

• d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 2, 3) and (x₂, y₂ ) = M(4, 2)

d = [tex]\sqrt{(4+2)^2+(2-3)^2}[/tex] = [tex]\sqrt{36+1}[/tex] = [tex]\sqrt{37}[/tex] ≈ 6.08




Related Questions

Is a quadratic sequence (2,3,6,11) arithmetic, geometric, or neither?

Answers

Answer:

Neither

Step-by-step explanation:

It's neither. The terms do not differ (which means you add the same number to each term) by any constant amount.  (Arithmetic)

The terms do not have a common number that you multiply the present term to get the next term. (Geometric)

So this one is neither.

Vardan thought of a prime three-digit number, all the digits of which are different. What is the last digit, if it is known that the last digit is equal to the sum of the first two digits?

Answers

Answer:

Prime number states that  a whole number greater than 1 whose only factors are 1 and itself.

For example; 2, 3, 5, 7 ,......

As per the statement: Vardan thought of a prime three-digit number, all the digits of which are different.

Let any three digit prime number Vardan thought is, 437 (all digits 4, 3, and 7 are different).

It is given that: if it is known that the last digit is equal to the sum of the first two digits.

Sum of first two digit = 4+ 3 = 7 which is equal to the last digit of a 3-digit number 437 i.,e 7.

Therefore, the last digit of a prime three-digit number (i.e 437) is, 7

please help me solve this by substitution


-3x - y = -1
x = 4y + 22

Answers

Answer:

x=2

y=-5

Step-by-step explanation:

-3(4y+22)-y=-1

-12y-66-y=-1

-13y-66=-1

-13y=65

y=-5


x=4(-5)+22

x=-20+22

x=2

Answer:

y = 5

x = 2

Step-by-step explanation:

So we know what x is already.

x = 4y + 22

Now we plug that in to the first equation.

-3 ( 4y + 22) - y = -1

Distribute the -3.

-12y - 66 - y = -1

Combined like terms:

-13y - 66 = -1

-13y = 65

Divide -13 on both sides:

y = -5

Now plug your y into the second equation:

x = 4(-5) + 22

x = -20 + 22

Simplify:

x = 2

Check your answer:

-6 - (-5) = -1

2 = -20 + 22

Roger earns $24 a week mowing lawns. he spends 1/6 of his earnings on lunch and 2/3 of his earnings on music. He saves the rest. how many dollars does Roger save? tell how you found the answer

Answers

[tex]\mathsf{Given : Roger\;earns\;24\;Dollars\;a\;Week}\\\\\mathsf{Given : Roger\;spends\;\frac{1}{6}\;of\;his\;Earnings\;on\;Lunch}\\\\\mathsf{\implies Dollars\;he\;spends\;for\;Lunch = (\frac{1}{6} \times 24) = 4}[/tex]

[tex]\mathsf{Given : Roger\;Spends\;\frac{2}{3}\;of\;his\;Earnings\;on\;Music}\\\\\mathsf{\implies Dollars\;he\;spent\;on\;Music = (\frac{2}{3} \times 24) = (2 \times 8) = 16}[/tex]

[tex]\mathsf{Dollars\;remaining\;in\;Roger's\;Pocket\;after\;all\;his\;Spendings = [24 - (16 + 4)]}[/tex]

[tex]\mathsf{Dollars\;remaining\;in\;Roger's\;Pocket\;after\;all\;his\;Spendings = [24 - 20] = 4}[/tex]

Roger saves 4 Dollars!

Roger earns $24 weekly and spends 1/6 on lunch and 2/3 on music. Calculating these expenses, he spends $4 on lunch and $16 on music, totaling $20. Roger saves the remaining $4.

To find out how much Roger saves, we need to calculate these expenses and subtract them from his total earnings.

Amount spent on lunch: 1/6 of $24 = $24 / 6 = $4.Amount spent on music: 2/3 of $24 = $24 * (2/3) = $16.

Adding the amounts spent on lunch and music: $4 + $16 = $20.

subtract the total expenses from his total earnings: $24 - $20 = $4.

Therefore, Roger saves $4 after his expenses on lunch and music.

Graph the equation 3x+2y=12

Answers

It's a linear function. We need only two points to the plotting of the graph.

[tex]3x+2y=12\qquad\text{subtract 3x from both sides}\\\\2y=-3x+12\qquad\text{divide both sides by 2}\\\\y=-\dfrac{3}{2}x+6\\\\for\ x=0\to y=-\dfrac{3}{2}(0)+6=0+6=6\to(0,\ 6)\\\\for\ x=4\to y=-\dfrac{3}{2}(4)+6=-6+6=0\to(4,\ 0)[/tex]

which of the following is a correct equation for the line passing through the point -3,2 and having a slope m=2/3 check all that apply

Answers

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))


Since you know m = 2/3, plug it into the equation

y = 2/3x + b

To find "b", plug in the point into the equation (-3,2)

y = 2/3x + b

2 = 2/3(-3) + b

2 = -2 + b

4 = b


y = 2/3x + 4



Point-slope form:

y - y₁ = m(x - x₁)        


You know:

m = 2/3

(x₁ , y₁) = (-3,2)

Plug this into the equation:

y - y₁ = m(x - x₁)  

y - 2 = 2/3(x - (-3))

y - 2 = 2/3(x + 3)


Answer:

2x-3y = =12

y= 2/3x + 4

y-2 = 2/3 (x+3)

Step-by-step explanation:

Billy graphed the system of linear equations to find an approximate solution. y =-7/4 x +5/2 y =3/4 x – 3

Answers

Answer:

[tex](2.2,-1.35)[/tex]

Step-by-step explanation:

we have

[tex]y=-\frac{7}{4}x+\frac{5}{2}[/tex] ------> equation A

[tex]y=\frac{3}{4}x-3[/tex] ------> equation B

Remember that

The solution of the system of equation is the intersection point both graphs

Using a graphing tool

see the attached figure

The intersection point is [tex](2.2,-1.35)[/tex]

Final answer:

To find the approximate solution to the system of linear equations, set the equations equal to each other, combine like terms, simplify, solve for x, substitute the value of x back into either equation to find y, and simplify further. The approximate solution is x = 3/2 and y = -1/8.

Explanation:

Given the system of linear equations:

y = -7/4 x + 5/2

y = 3/4 x - 3

Set the two equations equal to each other:

-7/4 x + 5/2 = 3/4 x - 3

Combine like terms:

2x + 5 - 14 = 6 - 12

Simplify:

2x - 9 = -6

Add 9 to both sides:

2x = 3

Divide both sides by 2:

x = 3/2

Substitute the value of x back into either equation to find the value of y:

y = -7/4 * (3/2) + 5/2

Simplify:

y = -21/8 + 20/8

Add the fractions:

y = -1/8

Therefore, the approximate solution to the system of linear equations is x = 3/2 and y = -1/8.

What is y = -1/4x +4 written in standard form?

Answers

[tex]y = -\frac{1}{4}x +4\ /\cdot4\\4y=-x+16\\x+4y=16\\C[/tex]

Answer:

C) x + 4y = 16

Step-by-step explanation:

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers.

As we need all the coefficients to be integers, we have to multiply by 4 on both sides of the equation (that will make the coefficient of x integer). We have to multiply it on both sides because is an equation.

4*y = 4*(-1/4x + 4)

4y = -x + 16

Now we need the x-term to be on the left side of the equation, so we add x on both sides:

x + 4y = -x + 16 + x

x + 4y = 16

Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.

Answers

Answer:

1, 2, 3, 6

Step-by-step explanation:

The given equation is,

[tex]\Rightarrow ax = 6[/tex]

[tex]\Rightarrow x = \dfrac{6}{a}[/tex]

We need to to find all the whole values of a for which the solution of the equation i.e x will be a whole number.

We know that when a number is divided by one of its factor it leaves a remainder of 0 or the result we get is a whole number.

That is why, we need a as one of the factors of 6, i.e 1, 2, 3, 6 in order to get x as a whole number.

A scuba driver wants to descend at an average rate of at least 7 feet per minute for 5 minutes. The table shows how many feet the scuba driver descends in the first 4 minutes. How many feet must the scuba driver descend in the fifth minute to meet the goal?

Answers

Answer:

35 because if you multiply youll get hat you need

i hope its correct

Step-by-step explanation:


Help please, what is the measure of angle B in the figure below?

Answers

Since its a right triangle, we can use the Pythagorean theorem and see what kind of right triangle it is (30-60-90 or 45-45-90):

a^2 + b^2 = c^2
c^2 - a^2 = b^2
(3sqrt2)^2 - 3^2 = b^2
9*2 - 9 = b^2
18 - 9 = b^2
b^2 = 9
b = sqrt9
b = 3

Since a and b are equal (3), we know this is a 45-45-90 triangle (it is characteristic for these triangles to have 2 equal sides).



As the figure shows Elton runs 500 m to point b first then he turns 110 degrees and runs another 350 m to point c how far is the distance from point a to c

Answers

Answer:

658.24 m


Step-by-step explanation:

The figure makes a triangle with vertices abc.

Where ab = 500 m

           bc = 350 m

The angle abc = 100°

Using the cosine rule we can find the distance ac.

ac² = 500²+350² - 2×500×350×cos100°

      = 372,500 - -60,776.86

      = 433,276.86

ac = √433,276.86

    = 658.24 m

Which graph represents the function

A
B
C
D

Answers

Answer:

a , b , c , or d, I t h I n k I t ccon fun sed8nh

The price of a mango at a fruit stand goes up 5 cents each month. The first month the stand was open, a mango cost $1.25. What will the cost of a mango be in the 25th month?

Answers

Answer:

$2.45        

Step-by-step explanation:    

Let x be the number of months.  

We have been given that price of a mango at a fruit stand goes up 5 cents each month. This means that price of mango in dollars after x months will be 0.05x (1 dollar=100 cents).

The first month the stand was open, a mango cost $1.25. This means that cost of mango in the x months after 1st month will be: [tex]1.25+0.05x[/tex]

Now let find the cost of mango in the 25 month by substituting x=24 in our expression because price will increase 24 times after 1st month.

[tex]\text{The cost of a mango be in the 25th month}=1.25+0.05*24[/tex]

[tex]\text{The cost of a mango be in the 25th month}=1.25+1.2[/tex]

[tex]\text{The cost of a mango be in the 25th month}=2.45[/tex]

Therefore, the cost of a mango in the 25th month will be $2.45.

Final answer:

To calculate the cost of a mango in the 25th month, you multiply the 24 intervening months by the $0.05 monthly price increase, which equals $1.20, and add it to the initial cost of $1.25, resulting in a total cost of $2.45.

Explanation:

You want to calculate the cost of a mango in the 25th month if the price increases by 5 cents each month from the initial price of $1.25. To find the cost on the 25th month, we will first find out the total increase in cost after 24 months (since the first month is already at $1.25, we only calculate the increase for the following 24 months). The calculation is 24 months × $0.05 increase per month.

The total increase is:

24 × $0.05 = $1.20.

Add this increase to the initial cost to find the cost on the 25th month:

$1.25 + $1.20 = $2.45.

Therefore, the cost of a mango in the 25th month will be $2.45.

10.5714286 lies between what two whole numbers

Answers

10.5714286 is larger than 10, but smaller than 11.

The two whole numbers are 10 and 11.


An organization will give a prize to a local artist. The artist will be randomly chosen from among 7 painters, 4 sculptors, and 5 photographers. What is the probability that the artist choosen will be a painter or a photographer?

Answers

The probability would be 12/16 or 75%.
Hope this helps!

The red thermos contains 7 pints of lemonade. The orange thermos contains 4 quarts of lemonade. Which thermos contains more lemonade?

Answers

Answer:7 pints is more than 4 quartz

Step-by-step explanation:

One pint is the equivalent to 0.5 quartz.

I need help. See picture:
"Number of solutions to equations challenge"

Answers

Answer:

D. P = 15 and Q = 15

Step-by-step explanation:

Put the values of P and Q to the equation Px - 45 = Qx + 75:

15x - 45 = 15x + 75     subtract 15x from both sides

-45 = 75   FALSE

In other cases, we get some value x.

Example:

A. P = -45 and Q = -75

-45x - 45 = -75x + 75     add 45 to both sides

-45x = -75x + 120      add 75x to both sides

25x = 120       divide both sides by 25

x = 4.8

What is the total amount of sap the trees produced that day?

Answers

Each "x" represents one tree that produced that amount of sap in gallons.

To find the total amount of sap produced, add all of the amount of sap produced from each tree


3 trees produced 1/4 gallons of sap

2 trees produced 3/8 gallons of sap

4 trees produced 5/8 gallons of sap

1 tree produced 1 gallon of sap


You can do this:

[tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8} +\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+1[/tex]

[tex]=\frac{3}{4}+\frac{6}{8}+\frac{20}{8}+1[/tex]      

[tex]\frac{3}{4}+\frac{26}{8}+1[/tex] Make all the denominators the same

[tex]\frac{6}{8}+\frac{26}{8}+\frac{8}{8}=\frac{40}{8}=5[/tex]

5 gallons


Or you could have done:

[tex](\frac{1}{4} *3)+(\frac{3}{8}*2)+(\frac{5}{8}*4)+(1*1)[/tex]

[tex]=\frac{3}{4}+\frac{6}{8}+\frac{20}{8}+1[/tex]      

[tex]\frac{3}{4}+\frac{26}{8}+1[/tex] Make all the denominators the same

[tex]\frac{6}{8}+\frac{26}{8}+\frac{8}{8}=\frac{40}{8}=5[/tex]

5 gallons


Answer:

5 gallons

Step-by-step explanation:

because if u add all togather u get 6/8+26/8+8/8+40/8= It would be 5 Gallons

What is the solution set for -4x - 10 ≤ 2?

Answers

Answer:

x > -3

Step-by-step explanation:

- 4x - 10 < 2

     + 10 < + 10

- 4x < 12

-4      -4

x > -3

I think the sign flips because the negative sign is w/the X.... If it doesn't, sorry 4 being wrong...

Final answer:

The solution to the inequality -4x - 10 ≤ 2 obtained by isolating the variable x is x ≥ -3. This includes all real numbers x that are greater than or equal to -3.

Explanation:

Let's solve the inequality -4x - 10 ≤ 2 step-by-step.

Add 10 to each side: -4x - 10 + 10 ≤ 2 + 10 which simplifies to -4x ≤ 12.Next, divide each side by -4: -4x / -4 ≥ 12 / -4. Remember, when you divide or multiply by a negative number, you need to reverse the direction of the inequality sign, so it becomes x ≥ -3.

Therefore, the solution to -4x - 10 ≤ 2 is x ≥ -3. This means that for any real number x that is greater than or equal to -3, the inequality -4x - 10 ≤ 2 is true.

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Variables x and y are in direct proportion, and y = 35 when x = 2m. If x = 8m, then y = A) 4.375 B) 8.375 C) 70 D) 140

Answers

Answer:

D) 140

Step-by-step explanation:

The equation for direct variation is y= kx

If we know x and y we can solve for k

35 = k*2

Divide each side by 2

35/2 =k

Now the equation for direct variation is

y= 35/2 x

Given x=8 we can substitute in

y = 35/2 * 8

y = 140

Answer: D) 140

(both x and y are multiplied by 4)

which is a solution for 3 > f? f = 7 f = 9 f= 3 f =2?

Answers

Answer:

F = 2

Step-by-step explanation: If you want to know which one is a solution, you have to substitute the numbers in for F.

F = 7:

3 > f

3 > 7

This is false because 3 is NOT greater than 7, it is less than 7.

F = 9:

3 > f

3 > 9

This is false because 3 is NOT greater than 9, it is less than 9.

F = 2:

3 > f

3 > 2

This is TRUE because 3 IS greater than 2.


Hope this help you!!! :)




How do you find a sum of a square root?

Answers

You can add two square roots of the numbers if the numbers are the same:

[tex]\sqrt{a}+\sqrt{a}=2\sqrt{a}\\\\n\sqrt{a}+m\sqrt{a}=(n+m)\sqrt{a}\\\\\sqrt{a}+\sqrt{b}=\sqrt{a}+\sqrt{b}[/tex]

Final answer:

To find the sum of square roots, you can add the square roots together if the numbers underneath are the same. If the numbers are different, you cannot simplify them further.

Explanation:

To find the sum of a square root, you need to add the square roots together. However, the numbers under the square roots must be the same. For example, if you have √2 + √2, you can add them to get 2√2. But if you have √2 + √3, you cannot simplify it any further.

Another way to find the sum of square roots is to simplify them using the multiplication property. For example, if you have √2 + 2√2, you can combine them as (1+2)√2 = 3√2.

It is important to note that you can only add square roots with the same number underneath. If the numbers are different, you cannot simplify them further.

HELP PLZ

Figure ABCD is transformed to figure A′B′C′D′:

Which angle in Figure A′B′C′D′ is equal to Angle DAB.?

a. Angle D prime A prime B prime.

b. Angle A prime B prime C prime.

c. Angle B prime C prime D prime.

d. Angle C prime D prime A prime.ormed to figure A′B′C′D′:

Answers

Answer:

a. ∠D'A'B'

Step-by-step explanation:

From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.

Only the coordinates of the points are changed with the length of each side remaining the same.

Hence the corresponding angle values will also remain unaltered.

∴ ∠DAB = ∠D'A'B'

The price of a shampoo, cut, and style at the hairstyling salon where you work is $18.00. You generally get a 20% tip from each customer, and the salon owner pays you ¼ of each job's cost. On a typical day, you give shampoos, cuts, and styles to 8 customers. About how much can you expect to earn for yourself on such a day?

Answers

Answer:

The amount you would earn is $64.80

Step-by-step explanation:

We know to start that you get 45% of the cost per customer. That's because the customer gives you 20% and you boss gives you 25% (1/4). To find how much that is, multiply it by the cost.

$18 * 45% = $8.10

Now knowing this, we can multiply that amount by the 8 customers per day.

$8.10*8 = $64.80

On a typical day, I can expect to earn $64.80 for myself.

To calculate my earnings for the day, we'll break it down step by step:

Shampoo, cut, and style cost: Each job's cost is $18.00.

Tips: I generally receive a 20% tip from each customer. To calculate the total tip earnings for the day, we multiply the job cost by 0.20 (20%):

Total tips = 8 customers * ($18.00 * 0.20) = 8 * $3.60 = $28.80

Salon owner's payment: The salon owner pays me ¼ of each job's cost. To calculate the total payment from the salon owner for the day, we multiply the job cost by 0.25 (1/4):

Total owner's payment = 8 customers * ($18.00 * 0.25) = 8 * $4.50 = $36.00

My earnings: Finally, to calculate my total earnings for the day, we sum up the tips and the salon owner's payment:

Total earnings = Total tips + Total owner's payment = $28.80 + $36.00 = $64.80

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A soccer player ran 180.48 miles in 70.5 days to stay fit. How many miles will he run in 9 days

Answers

Final answer:

The soccer player will run 23.04 miles in 9 days.

Explanation:

To find out how many miles the soccer player will run in 9 days, we need to calculate the average number of miles he runs per day. We can do this by dividing the total distance he ran by the number of days.

So, 180.48 miles ÷ 70.5 days = 2.56 miles per day.

Now we can determine how many miles he will run in 9 days by multiplying the average number of miles per day by 9.

So, 2.56 miles per day × 9 days = 23.04 miles.

Three hens can lay 3 eggs in 3 days.How many hens would lay 12 eggs in 12 days?

Answers

Answer:

144

Step-by-step explanation:

You just multiply 12x12

A bag has 12 red marbles and 6 green marbles. Half of the green marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a green, plastic marble? Write your answer as a fraction in simplest form.

Answers

Answer:

1/6 is the probability of it being a green plastic marble.

Step-by-step explanation:

Note that there are 18 marbles in all (12 + 6 = 18).

Half of the green marbles (6) are made of plastic: 6/2 = 3

From the information above, we see that 3 green marbles are made of plastic. There are 18 marbles in all.

Divide, and simiplify.

(3/18)/(3/3) = 1/6

1/6 is the probability of it being a green plastic marble.

~

given:3x + y = 1. Solve for y.

Answers

Answer:


Step-by-step explanation:

y= -3x+1

you use inverse operations, and since you want the y alone, you subtract 3x on both sides, giving you y= -3x+1

Y=-3x+1 because there going to be the opposite of positive

Which function has a simplified base of 4? f(x) = 2 f(x) = 2 f(x) = 4 f(x) = 4

Answers

Answer:

f(x)=2

Step-by-step explanation:

Answer:

f(x) = 4

Step-by-step explanation:

4 is itself the simplified expression and hence can't be simplified further

Hence, f(x) = 4 has a simplified base of 4.


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