Let's solve this question by step by step.
Layout equation.
−104=−8(k+8)
Step 1: Simplify both sides of the equation.
−104=−8(k+8)
−104=(−8)(k)+(−8)(8)(Distribute)
−104=−8k+−64
−104=−8k−64
Step 2: Flip the equation.
−8k−64=−104
Step 3: Add 64 to both sides.
−8k−64+64=−104+64
−8k=−40
Step 4: Divide both sides by -8.
-8k/-8=-40/-8
The answer for this problem is k=5.
1) Here, QR = QP + PR
52 = 16 + PR
PR = 52 - 16 = 36
In short, Your Answer would be Option C
2) Slope of mentioned line:
m = (5+5) / (0-4)
m = 10/-4
m = -5/2
Parallel lines have same slope so it would be -5/2 as well
In short, Your Answer would be Option B
Hope this helps!
Answer:
Each circle (A, B, and C) contain shapes that all share at least one characteristic. Some shapes are contained in more than one circle because they share more than one characteristic. For example, shape 3 fits the rule for circles A and B, but not circle C. It lies within circles A and B, but not circle C.
Step-by-step explanation:
Perpendicular means that it has a slope that is the reciprocal of the original, and parallel means that the slopes are the same.