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Reptile [31]
3 years ago
12

Which algebraic expression represents “twice the sum of y and 9”

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0
2(y+9) is the algebraic expression.

Hope this helps!!

tankabanditka [31]3 years ago
3 0

To answer this question we will have to keep the following two points in mind:

#1. The <u>sum</u> of a number with another number means to <u>add </u>the given two numbers.

#2.<u> Twice</u> means to <u>multiply by 2.</u> In other words it means to double.

Therefore, "twice the sum" would mean to multiply the sum by 2.

Now, in our question we will have, "the sum of y and 9 would be: y+9 and twice this sum would be: 2(y+9)

Thus, "twice the sum of y and 9" is: 2(y+9)

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B. P" = (1, -4)

Step-by-step explanation:

To make it easier to understand, make point C the origin (0 , 0). From that, you will notice point P is 3 units right and 5 units up of point C, meaning the coordinates of point P is (3, 5). A 90° rotation clockwise on point P (3, 5) is (5, -3). Since point C is 4 units right and 1 unit up from the actual origin, we will add that to (5,-3); (5 + 4, -3 + 1) = (9, -2). Therefore, P' = (9, -2).

Knowing the coordinates of P' allows us to figure out the coordinates of P''. Once again, we'll make point C the origin, meaning P' would be at (5, -3). Like we did before, we will perform a 90° rotation clockwise of (5, -3) to get (-3, -5). Lastly, add back the appropriate amount of units to (-3, -5) to make point C the center of rotation in this example; (-3 + 4, -5 + 1) = (1, -4). Therefore, P" = (1, -4).

Please note that this is only my method of solving translations. Please consult more official sources if you want to learn more. Other than that, I hope this helps!

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