GR has coordinates g (2, -2) and R (3,8) and it is the result of the dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM. Please help

(- 2x , - 2y)

Step-by-step explanation:

A(x, y) > A' (kx, ky)

H(- 1 ,1) > [k(- 1), k(1)] > G(2, - 2) ⇒ k = - 2

M( - 1.5, - 4) > [(- 2)(- 1.5) , (- 2)(- 4)] > R(3. 8)

k = - 2

Thus, the rule of dilation centered in origin is (- 2x , - 2y)

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.