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Question
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x - 2 = √<span>(x + 10)
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Square both sides
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(x - 2)² = (√(x + 10))²
(x - 2)² = (x + 10) ← square and square root would will net off each other
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Remove brackets
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x² - 4x + 2² = x + 10
x² - 4x + 4 = x + 10
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minus x + 10 on both sides
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x² - 4x + 4 - x - 10 = 0
x² - 5x - 6 = 0
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Factorise the left side
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(x - 6)(x + 1) = 0
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Apply zero product property
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x -6 = 0 or x +1 = 0
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Solve x
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x = 6 or x = -1
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Answer: x = 6 or x = -1
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Answer:
y = -3/8(x + 2)^2 + 8
Step-by-step explanation:
vertex form is
y = a(x - b)^2 + c where a is a constant and (b,c) is the vertex.
The maximum is at (-2, 8) because x 8 = height and x =-2 is equn. of symmetry
So here we have
y = a(x - (-2))^2 + 8
y = a(x + 2)^2 + 8
Now at the point (-6, 2):
2 = a(-6+2)^2 + 8
2 = 16a + 8
16a = -6
1 = -3/8.
So our equation is y = 3/8(x + 2)^2 + 8
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean = 
Given 5 numbers with a mean of 12, then
= 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
= 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
Answer:
6:2
Step-by-step explanation:
ummmmmm I'm done it's just that I can't do 20 words
Point-slope form is (y - y1) = m(x - x1) so just plug in your given info:
y - 2 = 3(x - 5)
so your answer is D!!
