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4 years ago

Which linear function represents the line given by the point-slope equation y +7=-2/3(x + 6)

Mathematics

1 answer:

siniylev [52]4 years ago

5 0

Answer:

y = -(2/3)*x - 11

Step-by-step explanation:

To convert a point-slop equation into a linear function, there are certain steps which have to be followed. The primary aim is to make y the subject of the equation. By making sure that y is on the left hand side of the equation and x is on the right hand side of the equation, our goal will be achieved. To do that, first of all do the cross multiplication. This will result in:

3(y+7) = -2(x+6).

Further simplification results in:

3y + 21 = -2x - 12.

Keeping the expression of y on the left hand side and moving the constant on the right hand side gives:

3y = -2x - 33.

Leaving y alone on the left hand side gives:

y = -(2/3)*x - 33/3.

Therefore, y = -(2/3)*x - 11!!!

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A bag contains 5 yellow marbles, 7 pink marbles, and 3 purple marbles. Gordon selects a marble without looking. What is the prob

eduard

5/15 x 3/15 = 1/3x 1/5 = 1/15

B is the answer.

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4 years ago

Is 3/4 equivalent to 27/36

egoroff_w [7]

Yes because you can multiply 3/4 by 9/9 and you’ll get 27/36 :)

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3 years ago

Read 2 more answers

What is the area of this composite shape?

ankoles [38]

Answer:

A. 132 units²

Step-by-step explanation:

The figure has already been broken into chunks, so there is no need to break it up any further.

I'll start with the top left triangle,

Formula for finding the area of triangles: (H x B) / 2

Following this formula, we take the height, 4, and multiply it by the base, 6.

4 x 6 = 24.

Now, we divide the product by 2:

24 / 2 = 12.

We now have the area for the triangle, it is time to move onto the second.

To find the height of the larger triangle, we add 4 and 4 together, giving us 8. To find the base, we subtract 6 from 15, giving us 9.

Now we multiply 8 and 9 together, then divide by 2

8 x 9 = 72

72 / 2 = 36

Now that we've found the area for both triangles, it is time to find the area of the rectangles.

Formula for finding the area of quadrilaterals such as rectangles and squares: L x W

I'll start with the smaller rectangle underneath the top left triangle:

6 x 4 = 24

Now, I'll move onto the bottom rectangle:

15 x 4 = 60

We have the areas of all the shapes in this figure, all we have left to do is to add them together:

60 + 24 + 36 + 12 = 132 units²

132 units² will be your answer.

<h2>I hope this helps!</h2>

6 0

4 years ago

I just want to go to bed so can someone help me with this question

user100 [1]

Answer:

A. 1

Step-by-step explanation:

Following order of operations, you would multiply 4/3 and 3/5.

Once you do this, you will get 12/15, which you can simplify to 4/5

Then you add the 1/5 with the 4/5 and you will get 5/5, which is equivalent to 1

7 0

3 years ago

Find the measure of the angle indicated. Your answer

Yanka [14]

Answer:

44°

Step-by-step explanation:

This is an inscribed angle and its measure is equal to the measure of arc it sees (minor arc BC in this case)

88 ÷ 2 = 44°

7 0

3 years ago