X= -1/3 Because the perpendicular lines always have a opposite reciprocal meaning if a slope is Positive it turns negative and the denominator becomes the numerator ex.3 is the same as 3/1 and the opposite of that would be 1/3 and if the slope is negative then the opposite reciprocal will be positive and with the denominator becoming the numerator
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.
(x-2)(x+10)=13
x^2 + 10x - 2x - 20 = 13
x^2 + 8x - 20 - 13 = 0
x ^2 + 8x - 33 = 0
(x + 11) (x - 3) = 0
x + 11 = 0
x = -11
x - 3 = 0
x = 3
The answer is clearly x = 3.
Choice a.
Answer: Simplifying
2x + 4 + 2x + 8 + 2x + 8 = 180
Reorder the terms:
4 + 8 + 8 + 2x + 2x + 2x = 180
Combine like terms: 4 + 8 = 12
12 + 8 + 2x + 2x + 2x = 180
Combine like terms: 12 + 8 = 20
20 + 2x + 2x + 2x = 180
Combine like terms: 2x + 2x = 4x
20 + 4x + 2x = 180
Combine like terms: 4x + 2x = 6x
20 + 6x = 180
Solving
20 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 6x = 180 + -20
Combine like terms: 20 + -20 = 0
0 + 6x = 180 + -20
6x = 180 + -20
Combine like terms: 180 + -20 = 160
6x = 160
Divide each side by '6'.
x = 26.66666667
Simplifying
x = 26.66666667
Step-by-step explanation:
