Answer is C) Dilate rectangle ABCD with a SF of 1/2 followed by a 180 degree rotation about the origin.
By dividing the sides of rectangle ABCD by the scale factor 1/2, the rectangle becomes the same size as rectangle A'B'C'D'.
Rotating rectangle ABCD by 180 degrees around the origin transforms the rectangle onto rectangle A'B'C'D.
Answer:
(0,-3)
Step-by-step explanation:
ANSWER
(5r^2 - 6)(2r - 5)
EXPLANATION
Factor by grouping
(10r^3 - 25r^2) + (-12r + 30)
Factor a GCF
5r^2 (2r - 5) -6 (2r - 5)
Combine groups
(5r^2 - 6)(2r - 5)
CHECK
Use FOIL
First: 5r^2*2r = 10r^3
Outside: 5r^2*-5 = -25r^2
Inside: -6*2r = -12r
Last: -6*-5 = 30
Is this the full question?
Step-by-step explanation:
a) The slope formula is given by
m = (y2 - y1)/(x2 - x1)
Let P1(7, 5) and P2(21, 15)
m = (15 - 5)/(21 -7)
= 10/14
= 5/7
b) Let's see if the slope is only a third of the one found in part (a) or m = 5/21. Let P1(0, 0) and P2(21, 5).
m = (5 -0)/(21 - 0)
= 5/21
Indeed, the slope is only a third of part (a), as we predicted.
