x • 4^8 x
———— = ———— = x • 4^3 = x • 64 = 64x
4^5 4^(-3)
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Answer:
C. y = 7x + 29 .
Step-by-step explanation:
First find the slope of the given line:
x - 7y = 12
7y = x - 12
y = 1/7 x - 12/7
The slope = 1/7 so the slope of the line perpendicular to this line is
- 1 / -1/7 = 7.
Finding the equation of the required line:
y - y1 = m(x - x1)
y1 = 8 , m = 7 and x1 = -3:
y - 8 = 7(x + 3)
y = 7x + 21 + 8
y = 7x + 29 answer.
Answer:
1
Step-by-step explanation:
LCD = 1
Equivalent Fractions with the LCD
9 = 9/1
8 = 8/1
6 = 6/1
5 = 5/1
Solution:
Rewriting input as fractions if necessary:
9/1, 8/1, 6/1, 5/1
For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.
LCM(1, 1, 1, 1)
Therefore, the least common denominator (LCD) is 1.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
9 = 9/1 × 1/1 = 9/1
8 = 8/1 × 1/1 = 8/1
6 = 6/1 × 1/1 = 6/1
5 = 5/1 × 1/1 = 5/1
Answer:
B. Obtuse triangle
Step-by-step explanation:
The following triangle is an obtuse triangle.
P = 2(L + W)
P = 86
L = W + 11
86 = 2(W + 11 + W)
86 = 2(2W + 11)
86 = 4W + 22
86 - 22 = 4W
64 = 4W
64/4 = W
16 = W
L = W + 11
L = 16 + 11
L = 27 <====
