Rectangle WXYZ has vertices W(−2, −3), X(−2, 1), Y(4, 1), and Z(4, −3). Use these coordinates to answer any questions that follow. If the rectangle is dilated by a scale factor of 3 with respect to the origin, what will be the new location of point X? A. (−6, 3) B. (1, 3) C. (−5, 4) D. (1, 4)

The correct option is option A.

Step-by-step explanation:

Given that, rectangle WXYZ has vertices W(-2,-3) , X(-2,1), Y(4,1) and Z(4,-3)

The rectangle is dilated by a scale factor of 3 with respect to the origin.

It means we multiply each coordinate by the scale factor of 3.

Therefore the new location of W, X, Y and Z are

W'(-6,-9), X'(-6,3), Y'(12,3) and Z'(12,-9)

Therefore the new location of X will be (-6,3).

Step-by-step explanation:

4(2x+3)-5y

=8x+12-5y

Sum means addition: 2x+3

Term: Term could be a single number , variable, or the product of both. we have 8x, 12,-5y

Product ( multiplication): we have 4(2x+3), 2 multiplied by x(2x), 5y

Factor(part of a product : factor of 8x=8, x, 2 and 4

Factor of -5y=-5 and y

Factor of 12=2,4,6

Quotient ( it is the result obtained by dividing one quantity by another)= Not present in the expression. The expression doesn't have a division

Coefficient : is a number which is in product with variable.

Coefficient of 8x=8

Coefficient of -5y=-5

Coefficient of 12=12