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Answer:
157
Step-by-step explanation:
Simplify the following:
125 - (5 - 9)^3/2
5 - 9 = -4:
125 - (-4)^3/2
(-4)^3 = (-1)^3×4^3 = -4^3:
125 - (-4^3)/2
4^3 = 4×4^2:
125 - (-4×4^2)/2
4^2 = 16:
125 - (-4×16)/2
4×16 = 64:
125 - (-64)/2
2 | 3 | 2
| 6 | 4
- | 6 |
| | 4
| - | 4
| | 0:
125 - ( - 32)
(-1)^2 = 1:
125 + 32
| 1 | 2 | 5
+ | | 3 | 2
| 1 | 5 | 7:
Answer: 157
Answer: 96 inches
Step-by-step explanation:
There are 12 inches in 1 foot.
Therefore there are 8*12 inches in 8ft
= 96 inches
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
9x+7y=4
7y = - 9x + 4
y = -9x/7 + 4/7
Comparing with the slope intercept form, slope = - 9/7
If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (7,-4) is 7/9
To determine the intercept, we would substitute m = 7/9, x = 7 and y = -4 into y = mx + c. It becomes
- 4 = 7/9×7 + c = 49/9 + c
c = - 4 - 49/9 = -85/9
The equation becomes
y = 7x/9 - 85/9