Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
Answer:
C x=6
Step-by-step explanation:
sqrt(x+3) = x-3
Square each side
(sqrt(x+3))^2 = (x-3)^2
x+3 = (x-3)^2
x+3 = (x-3)(x-3)
FOIL
x+3 = x^2 -3x-3x+9
Combine like terms
x+3 = x^2 -6x+9
Subtract x from each side
x-x+3 = x^2 -6x-x +9
3 = x^2 -7x +9
Subtract 3 from each side
3-3 = x^2 -7x +9-3
0 = x^2 -7x+6
Factor
0 = (x-6)(x-1)
Using the zero product property
x-6=0 x-1 =0
x=6 x=1
Since we squared we need to check for extraneous solutions
x=1
sqrt(1+3) = 1-3
sqrt(4) = -2
2=-2
False
Extraneous
x=6
sqrt(6+3) = 6-3
sqrt(9) = 3
3=3
True solutions
Answer:
see explanation
Step-by-step explanation:
Calculate the values of y by substituting the values of x into y = - 6x + 2
x = - 5 → y = - 6(- 5) + 2 = 30 + 2 = 32
x = - 1 → y = - 6(- 1) + 2 = 6 + 2 = 8
x = 0 → y = - 6(0) + 2 = 0 + 2 = 2
x = 1 → y = - 6(1) + 2 = - 6 + 2 = - 4
Thus
x y
- 5 32
- 1 8
0 2
1 - 4
Answer:
16x
Step-by-step explanation:
4x+12x
Combine like terms
16x
Answer:
number 2 and 4
Step-by-step explanation:
