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3 years ago

8x+20y=-120 as slope

Mathematics

1 answer:

Temka [501]3 years ago

3 0

Answer:

y = -2/5x -6

slope is -2/5

y intercept -6

Step-by-step explanation:

8x+20y=-120

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

Subtract 8x from each side

8x -8x+20y= -8x-120

20y = -8x - 120

Divide by 20

20y/20 = -8x/20 -120/20

y = -2/5x -6

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Find the area of a circle that has a diameter of 11 inches. Approximate Π as 3.14. Round your answer to the nearest hundredth.

Alexus [3.1K]

Answer: 94.99 in^2

Step-by-step explanation: The equation for the area of a circle is A=πr^2. To solve this, we need to find the radius. The diameter is the whole circle, whole the radius is half. So divide the diameter by 2.

11/2 = 5.5

The radius is 5.5 inches. Plug the radius into the equation.

A=π5.5^2

Square the 5.5 first. You will get 30.25.

A=π30.25

Plug in 3.14 for pi.

A=3.14 x 30.25

Multiply.

A=94.985

Round to the nearest hundredth.

A=94.99

The area of the circle is 94.99 in^2.

7 0

4 years ago

12. Make a box-and-whisker plot of the data. (1 point)

Sophie [7]

The box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.

<h3>What is the Box-and-whisker Plot?</h3>

The box-and-whisker plot is a plot that displays the minimum, maximum, median, lower and upper quartile of a data, which is termed as the five-number summary of a data.

Given the data, 20, 23, 28, 14, 13, 24, 18, 11, find the five-number summary:

Minimum - 11
Lower Quartile - 13.5
Median - 19
Upper Qaurtile - 23.5
Maximum - 28

Therefore, the box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.

Learn more about box-and-whisker ploton:

brainly.com/question/12343132

4 0

3 years ago

BO<br><br> Q<br> $ . T .<br> Complete the proof<br> <<br> 19/21<br> ><br> Given: Ray DC bisects Prove: x= -4<br> (3x + 38)

KIM [24]

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6 0

3 years ago

What is 3 2/8 + 1 1/3

Travka [436]

Answer: 4 and 7/12

Step-by-step explanation: To add mixed numbers, first add the fractions. To add unlike fractions such as 2/8 + 1/3, first find a common denominator. The common denominator of 8 and 3 is simply the least common multiple of 8 and 3 which is 24.

To get 24 in the denominator of 2/8, we multiply the numerator and denominator by 3 to get the equivalent fraction 6/24.

To get 24 in the denominator of 1/3, we multiply the numerator and denominator by 8 to get the equivalent fraction 8/24.

Now, we have to deal with adding mixed numbers. To add mixed numbers, we will first need to add the fractions. In this case, we have 6/24 + 8/24 which is 14/24.

Now, we have to add the whole numbers. In this case, we have 3 + 1 which gives us 4. Notice that we can reduce our fraction by dividing both the numerator and denominator by 2 to get 7/12.

Therefore, our answer is 4 and 7/12.

7 0

4 years ago

Please help with these

MatroZZZ [7]

Set up a proportion.

$\frac{3~minutes}{2~questions}$ = $\frac{x~minutes}{12~questions}$

Cross multiply.

2x=36
x=12

It would take her 12 minutes.

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

Formula for surface area of a cube: 6a² where a=20.

6 x (20)²
6 x 400
= 2400

Surface area: 2400 cm

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

Mean absolute deviation: The average distance from each number in the set to the mean of the set.

Mean of the set: $\frac{(3+8+10+12+15)}{5} = \frac{48}{5} = 9.6$

9.6-3=6.6
9.6-8=1.6
10-9.6=0.4
12-9.6=11.4
15-9.6=5.4

Mean of 6.6, 1.6, 0.4, 11.4, and 5.4: $\frac{(6.6+1.6+0.4+11.4+5.4)}{5} = \frac{25.4}{5} = 5.08$

8 0

4 years ago