<span>89 is the correct answer.
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Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
Answer: $30,000
Step-by-step explanation:
If Mr. Inahurry had a 10% loss, it means that he paid X for the house and only got back 90% (100% - 10%) of what he paid.
This way X . 90% = 27,000
X . 0.90 = 27,000
X = 27,000/0.9
X = 30,000
Counter-proof: 30,000 . 10% = 30,000 . 0.10 = 3,000
30,000 - 3,000 = 27,000
Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
