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BartSMP [9]
3 years ago
11

Choose the correct simplification of the expression (7x − 3)(4x^2 − 3x − 6).

Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0
Distribute
(7x)(4x^2-3x-6)+(-3)(4x^2-3x-6)=
28x^3-21x^2-42x-12x^2+9x+18=
28x^3-21x^2-12x^2-42x+9x+18=
28x^3-33x^2-33x+18

D is the correct answer
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What is the equation of the circle with center (1, 1) that passes through the point (−3, 4)?
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Answer:  (x - 1)² + (y - 1)² = 25

<u>Step-by-step explanation:</u>

The formula for a circle is     (x - h)² + (y - k)² = r²     where

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  • r is the radius

Typically, you are given the center and the radius.  In this problem, you are given (x, y) so you must plug that into the equation to find r².

Given: (x, y) = (-3, 4)   and   (h, k) = (1, 1)

                       (-3 - 1)² + (4 - 1)² = r²

                         (-4)²    +   (3)²   = r²

                          16      +    9     = r²

                                  25         = r²

Next, input (h, k) and r² into the equation

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Answer:

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x≤-1+5

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Alternate form

x∈(-∞,4]

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