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timurjin [86]
3 years ago
11

What is the factored form of the polynomial? x2 − 12x + 27?

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

The factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

Step-by-step explanation:

As given the expression in the question be as follow .

x² − 12x + 27 = 0

x² - 9x - 3x + 27 = 0

x (x - 9) -3 (x -9) = 0

(x - 9)(x -3) = 0

Therefore the factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

scoray [572]3 years ago
7 0
The Answer is (x-9) (x-3) Factor 12 and 27 out.
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Factor out the greatest common factor. 10a3b−6a2b2
podryga [215]

Answer:

2a^2b(5a-3b)

If not then the other way is

5a-3b

Step-by-step explanation:

The GCF of 10a^3b and -6a^2b^2 is 2a^2b

So divide by that you will get

2a^2b(5a-3b)

4 0
3 years ago
Find the point that splits segment AB in half if point A is located at (4,3) and point B is located at
musickatia [10]

Answer:

(1, 4.5 )

Step-by-step explanation:

The required point is at the midpoint of AB

Use the midpoint formula

Given A(4, 3) and B(- 2, 6 ), then

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5 0
3 years ago
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The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

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3 years ago
A spinner is divided into five colored sections that are not of equal size: red, blue,
coldgirl [10]
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6 0
3 years ago
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Anna71 [15]

Answer:

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Step-by-step explanation:

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or,12x+24=-72

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or,x=-32/4

•°•x=-8

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3 years ago
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