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777dan777 [17]
3 years ago
9

The square of a certain negative number is equal to five more than one-half of that number. What is the number?

Mathematics
1 answer:
Illusion [34]3 years ago
7 0
X^2 = 5 + (1/2)x

x^2 - 0.5x - 5 = 0 

x = 5/2 (Refused)

x = -2 (accepted)
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The midpoint of the line segment from P1 to P2 is (-6,5). If P1 = (-7,8), what is P2?
kipiarov [429]
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2

Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8

Asked from the question
(x₂, y₂)

Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
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(y₁ + y₂)/2 = 5
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8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2

Answer
P₂ = (-5,2)
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