Answer:
6x
Step-by-step explanation:
x²+9-__=(x-3)²
lets dissosiate this one (x-3)²
(x-3)²=(x-3)(x-3)
=x²-3x-3x+9
=x²-6x+9 so x²+9-6x
so the answer is 6x
Answer:
No, because the reflection of ABC is not congruent to A’B’C’.
Step-by-step explanation:
we know that
The rule of the reflection across the line y=x is equal to
(x,y) -------> (y,x)
so
A(-6,6) -------> A'(6,-6) ----> is ok
B(-3,3) ------> B'(3,-3) ----> is ok
C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)
therefore
The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’
Answer:(3x+7)(x+2)
Step-by-step explanation:
The answer is b. 11.
You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly.
First Numbers:
2x * x = 2x^2
Outer Numbers:
2x * 6 = 12x
Inner Numbers:
-1 * x = -1x
Last Numbers:
-1*6 = -6
Now place them all in that order and simplify.
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6
Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11.
Refer to the edited figure.
Triangles ABC and A'B'C' are similar because of AAA.
Also,
Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.
Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.
