Answer: the answer is
=3
−19x−14
Step-by-step explanation: (x−7)(3x+2)
=(x+−7)(3x+2)
=(x)(3x)+(x)(2)+(−7)(3x)+(−7)(2)
=3x2+2x−21x−14
=3x2−19x−14
Answer: 11/14, also known as eleven fourteenths
Step-by-step explanation:
Hope this helped ! :)
Answer:
A. Reflection
B. Rotation and Translation
C. Translation
Step-by-step explanation:
We are given the figures transformed to different figures.
According to the options,
A. We see that,
Triangle ABC is reflected about the line y=x to obtain the triangle A'B'C'.
B. In the second figure, we get,
Triangle RST is rotated clock-wise around the point T and then translated 2 units to the right to obtain R'S'T'.
C. We have,
Triangle EFD is translated 3 units downwards followed by translation of 2 units to the right to get E'F'D'.
Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2
The answer to the question is 12