(8y + 17) = (6x - 7)
(3x -29) + (6x -7) = 180
9x -36 = 180
9x = 216
x = 24
(8y + 17) = (6x - 7)
8y + 17 = 6(24) - 7
8y + 17 = 144 -7
8y = 120
y = 15
I hope this helps!! (and hope it’s correct hahah :))
Answer:
1/16
Step-by-step explanation:
2^-4
We know that a^ -b = 1/ a^b
2^-4 = 1/2^4
2^4 =16
so 1/2^4 = 1/16
9514 1404 393
Answer:
3) y = -1
5) x = -14
Step-by-step explanation:
The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.
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3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:
y = -1
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5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:
x = -14
use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
The rate of change of a linear equation (first degree) is equivalent to the slope of a line. Slope is described as the vertical movement (rise) of the line over its horizontal counterpart (run). In determining the rate of change or slope (m) given 1 data point (x',y'), point-slope form is applicable. Point-slope form is: (y-y') = m (x-x'). Substitute the given point (-5,-1) in the equation. By substitution, [y-(-1)] = m [x-(-5)]. Re-arranging the equation, the rate of change or slope is, m = (y+1)/(x+5).
