Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4
with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices? A (2,1) B (8,16) C (32,4) D (32,16)
2 answers:
Answer:
D (32,16)
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please see the attached photo.
In the photo, the four vertices are:
(-5,4) by a scale factor of 4 (-20, 16)
(8, 4) by a scale factor of 4 (32, 16)
(-6, -2) by a scale factor of 4 (-24, -8)
(8, -2) by a scale factor of 4 (31, -8)
So only D is correct.
Hope it will find you well.
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Answer:
(negative 7 x + 4)(negative 7 x minus 4)
Step-by-step explanation:
Consider two real numbers a and b. A difference of squares involving a and b is usually given as;
The difference of the two squares above can be factored to yield;
This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.
The expression;
(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)
( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)
Expanding the last expression yields;
-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares