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3 years ago

Find the equation of the line 7y=-2x, passing though (8,-2). Express your answer in standard form.

Mathematics

1 answer:

damaskus [11]3 years ago

5 0

Answer:

The answer would be 2x + 7y = 30

Step-by-step explanation:

First we need to find the slope of the original line. We can do this by solving for y.

7y = -2x

y = -2/7x

Now we can use that slope and the point in point-slope form to get the answer. You'll need to solve for the constant.

y - y1 = m(x - x1)

y + 2 = -2/7(x - 8)

y + 2 = -2/7x + 16/7

2/7x + y + 2 = 16/7

2/7x + y = 30/7

2x + 7y = 30

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Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s

Stells [14]

Answer:

Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2) The dimensions of this surface are 6 in x 6 in

Part 3) Molly needs to paint 228 square inches

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Which surface is shared by the two solids?

we know that

The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2) What are the dimensions of this surface?

The surface is a square with side length 6 inches

The dimensions of this surface are 6 in x 6 in

Part 3) what is the area molly needs to paint?

we know that

The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids

$SA=216+84-2(6^2)$

$SA=228\ in^2$

therefore

Molly needs to paint 228 square inches

8 0

3 years ago

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What is x3+y3=z3 <br> if you answer this right well you are amazing

ankoles [38]

Answer: y = 2.71442

Step-by-step explanation:

3+y^3 = 23

y^3 =23-3

y^3 = 20

y = $\sqrt[3]{20}$

4 0

3 years ago

Charlie and Andy solve this problem in two different ways.

hammer [34]

Subtracted then divided

5 0

3 years ago

What is the area to kaths garden

ipn [44]

A = 1/2h(b1+b2)
A = 1/2(8)(19+11)
A = 4(30)
A= 120m^2

Hope this helps! :)

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3 years ago

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SOMEONE PLEASE HELP! A survey of a group of seventh graders and a group of teachers at a local middle school asked how many sibl

erastovalidia [21]

<em>Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.</em>

Answer:

''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

Step-by-step explanation:

Data for students from the dot plot in order

$0,\:0,\:1,\:1,\:1,\:1,\:2,\:2,\:2,\:2,\:2,\:2,\:2,\:3,\:3,\:3,\:3,\:3,\:4,\:4$

Calculating Median for students:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:

Median = (2+2)/2

=4/2

= 2

Data for teachers from the dot plot in order

$0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8$

Calculating Median for teachers:

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:

Median = (3+3)/2

=6/2

= 3

Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

8 0

3 years ago

Read 2 more answers