AAHHH PLZ I HAVE 5 MIN LEFT!!!!

The sum of the measures of two angles of a scalene triangle is calculated, and the result is the same as the measure of one of the external angles of a triangle. Which pair of angle measures was calculated?

the remote interior angles
the adjacent interior angles
the adjacent interior angle and the larger remote interior angle
the adjacent interior angle and the smaller remote interior angle

Answers

Answer 1
ANSWER:

The remote interior angles.

EXPLANATION:

The sum of the pair of angle measures which were calculated were the remote interior angles. This is as remote interior angles are the two interior angles in a triangle which don't share a vertex with the respective exterior angle. The sum of the two remote interior angles are required to calculate the value of the respective exterior angle.

Related Questions

Kiran read for x minutes, and Andre read for 58 more than that. Write an equation that relates the number of minutes Kiran read with y, the number of minutes that Andre read. Use decimals in your equation.

Answers

Answer:

[tex]0.017y=0.017x+0.97[/tex]

Step-by-step explanation:

Let us assume that,

number of minutes read by Kiran is = x minutes.

number of minutes read by Andre is = y minutes.

Andre read for 58 minute more than that of Kiran.

Converting minute to hour we get,

[tex]x\text{ minutes}=\dfrac{x}{60}=0.017x\text{ hour}[/tex]

[tex]y\text{ minutes}=\dfrac{y}{60}=0.017y\text{ hour}[/tex]

[tex]58\text{ minutes}=\dfrac{58}{60}=0.97\text{ hour}[/tex]

So the relationship between x and y will be,

[tex]0.017y=0.017x+0.97[/tex]

Final answer:

To relate the number of minutes Kiran read with the number of minutes Andre read, we can use the equation y = x + 58, where x is the number of minutes Kiran read.

Explanation:

To write an equation that relates the number of minutes Kiran read with y, the number of minutes that Andre read, we can use the information given. Let's say Kiran read for x minutes. According to the question, Andre read for 58 more than that, so we can represent Andre's reading time as x + 58. Therefore, the equation would be y = x + 58.

Learn more about Equations of line here:

https://brainly.com/question/35492661

#SPJ3

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green and striped).

Answers

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S)  ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

--------------------------------

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

Final answer:

The probability of picking a green marble and then a striped marble from a bag with replacement is the product of the probability of picking a green marble (7/25) and a striped marble (8/25), which is 56/625.

Explanation:

The student is asking about the probability of selecting a green marble followed by a striped marble when drawing from a bag that contains red, green, and striped marbles with replacement. To calculate this probability, we will use the basic principle that the probability of two independent events happening in sequence is the product of their individual probabilities.

First, we determine the probability of choosing a green marble, which we'll call P(G). Since the bag contains 7 green marbles out of a total of 25 (10 + 7 + 8), the probability P(G) is 7/25. Next, since the marble is replaced, the probability of choosing a striped marble, P(S), remains the same at 8/25. Therefore, the probability of choosing a green marble and then a striped marble is P(G and S) = P(G) x P(S) = (7/25) x (8/25).

To find the combined probability, simply multiply the two individual probabilities:

P(G and S) = (7/25) x (8/25) = 56/625.

The probability of drawing a green and then a striped marble is 56/625.

Calculate the area of trapezium CDEF.

Answers

We are given the two bases of the trapezium:

[tex] ED = 5,\qquad AB = 9 [/tex]

The formula for the area of the trapezium is

[tex] A = \dfrac{(B+b)h}{2} [/tex]

So, we only need to figure out the length of the height EF.

We know that FA+EF = 11. Also, we're given that the perimeter of ABCF is 28, which means

[tex] 2AB+2FA = 28 \iff 2\cdot 9 + 2FA = 28 \iff 2FA = 10 \iff FA = 5 [/tex]

So, we can deduce

[tex] EF = 11-FA = 11-5=6 [/tex]

And so we're ready to use the solving formula:

[tex] A = \dfrac{(5+9)\cdot 6}{2} = \dfrac{14\cdot 6}{2} = 7\cdot 6 = 42 [/tex]

The probability of rolling a sum of 7 when rolling two dice simultaneously is 0.167. You decide to test that probability by rolling the dice 12 times. What is the probability that exactly 2 of the rolls is a sum of 7?

Answers

Answer:

The probability that exactly 2 of the rolls is a sum of 7 will is 0.296

Step-by-step explanation:

The probability of rolling a sum of 7 when rolling two dice simultaneously is 0.167.

Let us assume that, A be the event that the sum is 7. So,

[tex]P(A)=0.167[/tex]

Binomial probability represents the probability that a binomial experiment results (i.e either success or failure or only two results) in exactly x successes.

[tex]b(x;\ n, p) =\ ^nC_x \cdot p^x \cdot (1-p)^{n - x}[/tex]

So the probability that exactly 2 of the rolls is a sum of 7 will be,

[tex]P(2) =\ ^{12}C_2 \cdot (0.167)^2 \cdot (1-0.167)^{12 - 2}[/tex]

[tex]=\ ^{12}C_2 \cdot (0.167)^2 \cdot (0.833)^{10}[/tex]

[tex]=66 \cdot (0.167)^2 \cdot (0.833)^{10}[/tex]

[tex]=0.296[/tex]

Tom has a large photo he wants to shrink to wallet size.it's width 20centimeters and it's length is 30 centimeters. if he wants the width to be 5 centimeters what should the length be

Answers

the length should be 7.5 centimeters

Esmerelda is five times as old as Ruth. Four years ago, the sum of their ages was 22 years. How old is each now?

Answers

Answer:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

Step-by-step explanation:

if Ruth is x, esmerelda is 5x,

four years ago,

Ruth is x+4,  esmerelda is 5x+4,  depend on the sum, we get:

x+4+5x+4=22, x=7/3

so:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

What is the trigonometric ratio for cosC ?

Answers

Answer:

cos C = 9/41

Step-by-step explanation:

cos C = adjacent side/ hypotenuse

cos C = 9/41


Answer:

cos C = 9/41

Step-by-step explanation:

The given triangle is right angle triangle.

Cos C = Adjacent/Hypotenuse

Here, Adjacent = 9 and Hypotenuse = 41

cos C = 9/41

Thank you.

Please help!! I'm stuck with these problems! Will mark brainliest if you are correct!

Answers

It’s the 3rd one down hope this helps !

Answer: (D) -3 < x < 17

Step-by-step explanation:

x must satisfy both Part 1 and Part 2 below:

Part 1:  Length must be greater than 0 so:

2x + 6 > 0       and        x + 23 > 0

       x > -3       and               x > -23

To satisfy both, x > -3

Part 2: The 80° is less than the 100° so the corresponding side of 80° must also be less than the corresponding side of 100°

        80° < 100°

⇒ 2x + 6 < x + 23

      x + 6 <       23

      x       <        17

Therefore x must be between -3 and 17

⇒  -3 < x < 17

************************************************************

Answer: (C) -1.6 < y < 7

Step-by-step explanation:

y must satisfy both Part 1 and Part 2 below:

Part 1:  Length must be greater than 0 so:

4y + 15 > 0             and        5y + 8 > 0

         y > -3.75       and               y > -1.6

To satisfy both, y > -1.6

Part 2: The 60° is less than the 105° so the corresponding side of 60° must also be less than the corresponding side of 105°

        60° < 105°

⇒ 5y + 8 < 4y + 15

      y + 8 <        15

      y       <         7

Therefore y must be between -1.6 and 7

⇒  -1.6 < y < 7

************************************************************

Answer: (A) 2.4 < y < 5

Step-by-step explanation:

y must satisfy both Part 1 and Part 2 below:

Part 1:  Length must be greater than 0 so:

2y + 3 > 0       and        5y - 12 > 0

       y > -1.5       and               y > 2.4

To satisfy both, y > 2.4

Part 2: The 70° is less than the 140° so the corresponding side of 70° must also be less than the corresponding side of 140°

        70° < 140°

⇒ 5y - 12 < 2y + 3

    3y - 12 <         3

    3y       <        15

      y       <          5

Therefore y must be between 2.4 and 5

⇒  2.4 < y < 5


A swimming pool is filled with 8,520 gallons of water. The pool begins to drain at a rate of 12 gallons per minute. Which equation can be used to find the number of minutes, m, it will take for the pool to be half full?

Answers

Answer:

it will take 355 minutes or 5 hours 55 minutes to be half empty. An equation would be (8,520 ÷ 2) ÷12 = m

Step-by-step explanation:

First, you must find half of 8,520 to see how much will half to be left in the pool for the problem. 8,520÷2=4,260

Second, you have to divide 4,260 by twelve to find out how many minutes it will take to become half empty.


Good luck ;b

Answer:

The equation that can be used to find the number of minutes that it would take for the pool to be half full is:

M = (8,520 / 2) / 12

As a result, it would take 355 minutes for the pool to be half full.

Step-by-step explanation:

First, we must determine how many gallons the half-filled pool has. If completely filled it has a capacity of 8,520 gallons, half-filled this should have a capacity of 8,520 / 2, that is, 4,260 gallons.

Then, we must divide this amount of gallons by the gallons that are lost per minute, that is, 4,260 / 12. In this way we get the amount of minutes it takes for the pool to reach half its capacity.

Then, the equation to determine the amount of minutes (M) it takes for the pool to reach half its capacity is: M = (8,520 / 2) / 12

does the system have one solution, no solution, or infinitely many? Use your substitution to justify your answer

x+2y= -10
-x+2y= -2

Answers

Answer: It has one solution. The solution is (x,y) = (-4,-3)

Add up the equations doing so straight down

x + -x = 0x = 0 so the x terms go away

2y + 2y = 4y

-10 + (-2) = -12

We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x

x+2y = -10

x + 2(-3) = -10

x - 6 = -10

x = -10+6

x = -4

The single solution is (x,y) = (-4,-3)

As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation

x+2y = -10

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10 .... true

and then the second equation

-x+2y = -2

-(-4) + 2(-3) = -2

4 - 6 = -2

-2 = -2 .... true

both equations are true, so the solution is confirmed

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Solve the equation.

Answers

Answer:


Alternative C


Step-by-step explanation:

x² + 10x + 24 = 0

∆ = 10² - 4.1.24

∆ = 100 - 96

∆ = 4

[tex]x' = \frac{- 10 + 2}{2} \\\\\ x' = - 4 \\\ x" = \frac{- 10 - 2}{2} \\\\\ x" = - 6[/tex]


I hope I helped you.

Answer: C

Step-by-step explanation:

x² + 10x + 24 = 0

                ∧

               1 + 24 = 25

               2 + 12 = 14

               3 + 8 = 11

                4 + 6 = 10  ← THIS WORKS!

(x + 4)(x + 6) = 0

x + 4 = 0       x + 6 = 0

 x = -4             x = -6


For all values of x, y, and z, which expression is equivalent to 4x + 4y + 4z? A) 4(x + y + z) B) 4y(x + z) C) 4(x + 4y + 4z) D) 12xyz

Answers

the answer is A) 4 (x + y+ z)

Answer:

a

Step-by-step explanation:

Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limits. Y=7^-x

Answers

Answer:

Exponential Decay

Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.

Step-by-step explanation:

We can graph the function by graphing two points when x=0 and x=1.

x=0 has [tex]y=7^{-x} =7^{0} =1[/tex]

x=1 has y=[tex]7^{-x} =7^{-1} =\frac{1}{7}[/tex]

This function starts with higher output values and decreases over time. This is Exponential Decay. Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.

Using limits, it is found that since [tex]\lim_{x \rightarrow \infty} f(x) < \lim_{x \rightarrow -\infty} f(x)[/tex], it is an exponential decay function, as it starts at infinity and ends at 0.

How we use limits to classify an exponential function as growth or decay?

An exponential function is modeled by:

[tex]f(x) = ab^x[/tex].

Then:

If [tex]\lim_{x \rightarrow \infty} f(x) < \lim_{x \rightarrow -\infty} f(x)[/tex], it is exponential decay.If [tex]\lim_{x \rightarrow \infty} f(x) < \lim_{x \rightarrow -\infty} f(x)[/tex], it is exponential growth.

In this problem, the function is:

[tex]y = 7^{-x}[/tex]

Hence:

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 7^{-x} = 7^{-\infty} = \frac{1}{7^{\infty}} = 0[/tex]

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 7^{-x} = 7^{\infty} = \infty[/tex]

Hence, it is exponential decay, as it starts at infinity and ends at 0.

More can be learned about exponential functions at https://brainly.com/question/25537936

David will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $65
and costs an additional $ 0.40
per mile driven. The second plan has no initial fee but costs $ 0.60
per mile driven. How many miles would David need to drive for the two plans to cost the same?

Answers

Answer:

325 miles

Step-by-step explanation:

65=0.20x

x=65/0.2

x=325 miles


Hello! I need help with a math problem, this is the question:
The tallest freestanding structure in the Canada is the CN tower, located in Toronto,
Ontario. It is 390 m taller than the tallest church tower in the world, located in
Germany. The sum of their heights is 710 m. Use linear systems of equations to
model this situation, and find the heights of the CN tower and the church tower.

The problem I have with this question is coming up with the two equations needed to solve this problem, can anybody help me and tell me if the equations I came up with are correct? And if they are not correct then could somebody please help me understand how to get the correct equations? Very much appreciated!

x + y = 710
390x + y = 710

Answers

Answer:

CN Tower = 550 m and church tower = 160 m

Step-by-step explanation:

The first equation x + y = 710 is correct

but the second one is

x - y = 390    

Note x = height of the CN tower and y = height of the church.

x + y = 710

x - y = 390

If we add the 2  above equations we eliminate y so

2x = 1100

x = 550 m

and y = 710 - 550 =  160 m

The equation of a parabola is given. y=1/2 x 2+6x+24 What is the equation of the directrix of the parabola? Enter your answer in the box. will report if u give some random answer just to get points

Answers

Answer: y = 5.5

Step-by-step explanation:

[tex]y=\dfrac{1}{2}x^2+6x+24[/tex]

Step 1: find the vertex

axis of symmetry: [tex]x = \dfrac{-b}{2a} = \dfrac{-6}{2(\frac{1}{2})} =\dfrac{-6}{1} = -6[/tex]

y-coordinate of vertex: [tex]y=\dfrac{1}{2}(-6)^2+6(-6)+24[/tex]

= 18 - 36 + 24

= 6

Vertex: (-6, 6)

Step 2: find p (the distance from the vertex to the focus): [tex]\dfrac{1}{4p} =a[/tex]

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

cross multiply to get: 2 = 4p

divide both sides by 4 to get: [tex]p =\dfrac{1}{2}[/tex]

Step 3: find the directrix

Since the parabola opens up, the focus will be above the vertex.

focus: (-6, 6 + [tex]\dfrac{1}{2}[/tex]) = (-6, 6.5)

and the directrix will be below the vertex.

directrix: y = 6 - [tex]\dfrac{1}{2}[/tex] ⇒ y = 5.5

The directrix also gets shiftd toward right.  Then the equation of the directrix of the parabola will be y = 11/2.

What is the parabola?

The equation of a parabola function is given as,

y² = 4ax

x² = 4ay

Where a is the coordinate of the focus.

The equation of a parabola is given.

y = (1/2) x² + 6x + 24

Simplify the equation, we have

2y = x² + 12x + 48

2y = x² + 12x + 36 + 12

2y = (x + 6)² + 12

Then the equation can be written as,

4(1/2)y = (x + 6)² + 12

Compare with standard equation, we have

a = (-1/2, 0)

The parabola is gets shifted toward right.

Then the directrix also gets shiftd toward right.

Then the equation the directrix will be

y = -1/2 + 6

y = 11/2

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ2

what is the mass of an object that has a density of 0.7 g/cm3 and a volume of 8cm3? (the density of an object has the equation d=m/v)

A.7.3g
B.5.6G
C.0.18G
D.11.4G

Answers

Answer:

B.5.6g

Step-by-step explanation: Density of object=mass/volume

Therefore, Mass=density of object X volume

                           =0.7 X 8

                           =5.6g



Answer:

Mass of an object is:

B. 5.6 g

Step-by-step explanation:

Mass of an object= Density × Volume

An object that has a density of 0.7 g/cm³

and a volume of 8 cm³

Mass= 0.7 g/cm³ × 8 cm³

       = 5.6 g

Hence, Correct option is:

B. 5.6 g

                   

Casey buys a bracelet. She pays for the bracelet and pays \$0.72$0.72 in sales tax. The sales tax rate is 6\%6%. What is the original price of the bracelet, before tax?

Answers

Answer:

The original price of the  bracelet before tax is $12.

Step-by-step explanation:

Let us assume that the original price of the  bracelet be x.

As given

Casey buys a bracelet.

She pays for the bracelet and pays $0.72 in sales tax .

The sales tax rate is 6% .

6% is written in the decimal form.

[tex]= \frac{6}{100}[/tex]

= 0.06

Than the equation becomes

x × 0.06 = 0.72

0.06x = 0.72

[tex]x = \frac{0.72}{0.06}[/tex]

x = $12

Therefore the original price of the  bracelet before tax is $12.




Can you find the third angle measure in a triangle if you know the other 2 angle measures?

Answers

Yes if you have 2 angles add them up and subtract from 180 to find the third angle. A triangle has 3 angles whose sum is 180 degrees.

Which information is sufficient to show that a parallelogram is a rectangle?
A . The diagonals bisect each other .
B . The diagonals are congruent .
C . The diagonals are congruent and perpendicular .
D . The diagonals bisect each other and are perpendicular .

Answers

The answer is B.

B . The diagonals are congruent.

A. The diagonals of any rhombus bisect each other, but that does not prove it is a rectangle.

B. The quadrilateral is a parallelogram, and the diagonals are congruent. It must be a rectangle.

C. The diagonals are congruent and perpendicular in any rhombus, but that does not make it a rectangle.

D. This proves a rhombus, but not necessarily a rectangle.

Given:

p: The bib is a bub.

q: The bub is a bub.

Which of the following is logically equivalent to /?

If the bib is a bub, then the bub is a bab.
If the bub is not a bab, then the bib is not a bub.
If the bib is not a bub, then the bub is not a bab.
If the bib is a bub, then the bub is not a bab.

Answers

Answer: (A) If it is a bib, then it is a bab

Step-by-step explanation:

p: The bib is a bub.

Rewrite it as: If it is a bib, then it is a bub.

hypothesis: It is a bibconclusion: It is a bub

q: The bub is a bab.

Rewrite it as: If it is a bub, then it is a bab

hypothesis: It is a bubconclusion: It is a bab

The conclusion of p equals the hypothesis of q so the Law of Syllogism can be applied  --> hypothesis of p → conclusion of q

Solve the equation for the given variable
2x - y = z ;x

Answers

Hello from MrBillDoesMath!

Answer:

x = (1/2) (z + y)    

Discussion:

Solve    2x-y =z for x.

2x -y = z      =>              

2x -y + y = z + y   =>            ( add "y" to both sides)

2x = z + y

x = (1/2) (z + y)                     ( divide both sides by 2)

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


9+10=x

x=?

--17
--18
--19
--7,000,674,830

Answers

Answer:

19

Step-by-step explanation:

19-10=9

The scale of a map says that 4cm represents 5km. What distance on the map in centimeters represents an actual distance of 10km

Answers

Answer:

8 cm

Step-by-step explanation:

We can use ratio's to solve this problem

4 cm = 5 km

We need to know how many cm = 10 km

4 cm             x cm

---------- = --------------

5 km             10 km

Using cross products

4* 10 = 5* x

40 = 5x

Divide each side by 5

40/5 = 5x/5

8=x

On the map it is 8 cm.

Year - Gas Price
2005 - $2.32
2006 - $2.63
2007 - $2.85
2008 - $3.32
2009 - $2.40
2010 - $2.84
2011 - $3.58
2012 - $3.70
2013 - $3.58
2014 - $3.43
2015 - $2.51

c. What equation models the data? What are the domain and range of the equation? Explain how you determined your answers.

d. Is there a trend in the data? Does there seem to be a positive correlation, a negative correlation, or neither?

How much do you expect gas to cost in 2020? Explain.

Answers

Answer:The years vary


Step-by-step explanation:

If you are them all and divide, it could solve your equation.

I hoped I helped :)

Compare the graphs of y = 2x and y = 6x.
Choices are: Pick One.

-The graph of y = 6x. increases at a faster rate than the graph of y = 2x.

-The graph of y = 2x increases at a faster rate than the graph of y = 6x.

-The graph of y = 6x is the graph of y = 2x translated 4 units up.

-The graph of y = 6x is the graph of y = 2x translated 3 units up.

Answers

Answer:

The graph of y = 6x increases at a faster rate than the graph of y = 2x.

Step-by-step explanation:

y=6x and y=2x are proportional relationships of linear functions. It has the form y=mx where m is the rate of change or increase. 6>2 so y=6x will increase faster than 2.

We know the last two statements are not possible because a translation of a graph must be done through addition or subtraction.

Levi needs to write 263,000,700,000 in scientific notation. He says that the exponent in the second factor is negative. Is Levi's reasoning correct? Use the drop-down menus to explain your answer. The exponent would be blank because the number Levi wrote in scientific notation is blank one.

Answers

Answer : No, levi's reasoning is incorrect. The correct answer is, [tex]2.63\times 10^{11}[/tex]

Step-by-step explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.  The numerical digit lies between 0.1.... to 9.9.....

For example :

5000 is written as [tex]5.0\times 10^3[/tex]

889.9 is written as [tex]8.899\times 10^{-2}[/tex]

In this examples, 5000 and 889.9 are written in the standard notation and [tex]5.0\times 10^3[/tex]  and [tex]8.899\times 10^{-2}[/tex]  are written in the scientific notation.

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

As we are given the 263,000,700,000 in standard notation.

Now converting this into scientific notation, we get:

[tex]\Rightarrow 263,000,700,000=2.63\times 10^{11}[/tex]

As, the decimal point is shifting to left side, thus the power of 10 is positive.

Hence, the correct answer is, [tex]2.63\times 10^{11}[/tex]

Answer:

No. He answered incorrectly. The correct scientific notation of the number will be [tex]2.630007\times10^{11}[/tex].

Step-by-step explanation:

Levi wants to write 263,000,700,000 in the scientific notation.

In scientific notation, the number is represented by a numerical value between 1 and 9.99...., multiplied by power of 10.

The given number can be written as,

[tex]263,000,700,000=2.630007\times100,000,000,000\\263,000,700,000=2.630007\times10^{11}[/tex]

Thus, in scientific notation, the given number can be written as [tex]2.630007\times10^{11}[/tex].

Here, the numerical value is 2.630007 and power of 10 is [tex]10^{11}[/tex].

Now, the power of 10 is 11 which is positive. So, Levi has answered incorrectly.

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Line p is parallel to the line x = -2. What is the slope of line p?

a) positive
b) negative
c) undefined
d) 0

Answers

x = -2 - it's a vertical line with undefined slope.

The line parallel to the vertical line is vertical.

Therefore your answer is c) undefined.

What is the solution to the rational equation (x/x^2-9)-1/x+3=1/4x-12

Answers


[tex]( \frac{x}{x {}^{2} - 9 } ) - \frac{1}{x + 3} = \frac{1}{4x - 12} [/tex]
[tex] \frac{x}{(x - 3)(x + 3)} - \frac{1}{x + 3} = \frac{1}{4(x - 3)} [/tex]
[tex] \frac{x - (x - 3) }{(x - 3)(x + 3)} = \frac{1}{4(x - 3)} [/tex]
[tex] \frac{12(x - 3)}{(x - 3)(x + 3)} = 1[/tex]
[tex] \frac{12}{x + 3} = 1[/tex]
[tex]12 = x + 3 \\ x = 9[/tex]

The area of kens rectangular yard is 480 square feet. The yard is 24 feet wide. In order to fence in the garden completely on all four sides,how many feet of fencing would ken need to buy.

Answers

Answer:


Step-by-step explanation:420÷24=20, so 2 sides are 20, and 2 sides are 24. 20+20+24+24=88 feet of fencing


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