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galben [10]
3 years ago
9

Please help me! What does CI = ?

Mathematics
1 answer:
Lorico [155]3 years ago
3 0
I being the intercenter of the triangle means that IA = BI= CI

CI = 52-2X

AI = 3X +7 ==> AI = IC ==> 3X+7 = 52-2X SOLVE FOR X

3X+2X = 52-7 ==> 5X = 45 & X =9

IF X = 9 THEN IC = 52-2(9) = 34. IC =34
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Factor completely x^3 + 1/8
maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

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8 x^3 + 1 = (2 x)^3 + 1^3:

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Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

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Multiply each exponent in 2 x by 2:

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4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

Refer to the diagram below. Note how I divided the figure into two rectangles.

The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.

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