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1 year ago

Please helpnumbers 42, 43, 44

Mathematics

1 answer:

Aleks [24]1 year ago

3 0

<h3>Answer:</h3>

42. 29°

43. 3x³ +2x² -3x +10

44. 20a² +68a

<h3>Step-by-step explanation:</h3>

42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

(-3x +20)° + (-2x +55)° = 90°

-5x +75 = 90 . . . . . . . . . . collect terms, divide by °

-5x = 15 . . . . . . . . . . . . . . . subtract 75

x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

(-3·(-3) +20)° = 29° = m∠BDC

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43. The distributive property is useful for multiplying polynomials.

(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

= 3x³ +2x² -3x +10

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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.

area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

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