3x^2-10x-8
= 3x^2+2x-12x-18 (write it as a difference)
= x•(3x+2)-4(3x+2)
= (3x+2)• (x-4)
Check the first picture. Our goal is to map <span>EFHG to E′F′H′G′.
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All choices involve a rotation by 90° or 270°<span> counterclockwise about the origin.
consider a rotation </span>by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :
by drawing the right angle POP", such that |PO|=|OP"|.
or by plotting each P"(a",b") so that (a",b")=(-b, a)
for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.
check picture 2.
EFHG is mapped to E′'F'′H'′G′'.
In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.
Answer:
"<span>A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right</span>"
The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.
(-9k+8k)*-1
9k-8k=1k
1k*-1=-1k
your answer is -1k