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bixtya [17]
3 years ago
14

Factorise: (x - 2y)2 - 12(x - 2y) + 32

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Hi there.

The answer is (x-2y-8)(x-2y-4)

Explanation:

(x - 2y)^{2}  - 12(x - 2y) + 32

Let (x-2y) = x

{x}^{2}  - 12x + 32

Then factor the quadratic polynomial by 2 brackets factoring.

(x - 8)(x - 4)

Then convert x to (x-2y)

(x - 2y - 8)(x - 2y - 4)

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If AB=48 and BC=22, then AC=?
alexandr1967 [171]

If A, B and C are collinear, then

1) if B is between A and C:

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AC = 48 + 22 = 70

2) if C is between A and B:

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3) if A is between B and C:

BC = AB + AC

22 = 48 + AC |-48

AC = - 26 < 0 FALSE

Answer:

if B is between A and C, then AC = 70

if C is between A and B, then AC = 26

4 0
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Read 2 more answers
Find the x and y intercepts. Write your answer as x =<br> y =<br> 2x + 5y = 10
Ann [662]
The x-intercept is present where y = 0

2x + 5y - 10 = 0
2x - 10 = -5y
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The y-intercept is present where x = 0

2x + 5y = 10
2x + 5y - 10 = 0
5y - 10 = -2(0)
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6 0
3 years ago
This morning,Austin's car had 29.04 gallons of fuel. Now,1.9 gallons are left. How much fuel did Austin use?
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Step-by-step explanation:

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Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if th
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Let the base of the ladder be x ft and the extension be y ft.

"when fully extended, a ladder is 28 feet in length."

means: x+y=28

"<span>the extension is 4 feet shorter than the base</span>"

means: y=x-4,   that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)

thus, we have the system of equations:

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adding the 2 equations, we have:

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Answer: Base: 16, Extension 12
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3 years ago
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