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elena-14-01-66 [18.8K]
3 years ago
6

Combining Like Terms

Mathematics
1 answer:
swat323 years ago
3 0
It would be a + because the 7 in 7y is positive, therefore it would be added to the X’s. if it was -7y, then the underline would be a –.
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What is the position of A on the number line below?
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A rectangle has a width of 2.5. When the length of this rectangle is decreased by 5 inches, the new area of the rectangle is 17.
kati45 [8]
<h3><u>Part A: An equation to represent this situation, where x represents the original length of the rectangle is:</u></h3>

17.5 = (x-5) \times 2.5

<h3><u>Part B: Original length of the rectangle is 12 inches</u></h3>

<em><u>Solution:</u></em>

Given that,

A rectangle has a width of 2.5

Therefore,

width = 2.5 inches

Let "x" be the original length of the rectangle

When the length of this rectangle is decreased by 5 inches

Therefore,

New length = x - 5

The new area of the rectangle is 17.5 square inches

Therefore,

<em><u>The area of rectangle is given as:</u></em>

Area = length \times width

17.5 = (x-5) \times 2.5\\\\17.5 = 2.5x - 12.5\\\\2.5x = 17.5 + 12.5\\\\2.5x = 30\\\\x = 12

Thus original length of the rectangle is 12 inches

7 0
3 years ago
Which of the following rules is the composition of a dilation of scale factor 2, then a translation of three units to the right?
SIZIF [17.4K]

Answer:

The answer is C: (2x +3, 2y)

Step-by-step explanation:

When applying the dilation of a scale factor of 2, you have to apply it to both the x and y coordinate, which means you are multiplying the coordinates by 2.

Let's assume the coordinates you start with are (x, y). Apply the dilation of 2.

(x, y) -----> (2x, 2y)

Now you are moving the figure right. When moving right, this only effects the x coordinate since the x axis moves left and right. Moving right indicates you will add the number of units translated to the x coordinate.

Translation 2 units right:

(2x, 2y) -----> (2x +3, 2y)

8 0
2 years ago
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