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maria [59]
3 years ago
10

(5x2 − 9x + 2) + (−3x2 + 2x + 4)

Mathematics
1 answer:
Triss [41]3 years ago
3 0
Eliminate redundant parentheses
(5x 2 - 9x +2 ) + ( -3x2 + 2x 4)
5x 2-9x+2 -3x2+ 2x +4

Add the numbers
5x2 -9x +2 -3x2 +2x+4
5x2 -9x +6 -3x2 + 2x

Combine like terms
5x2 -9x +6 - 3x2 +2x
2x2 -9x +6 + 2x

Combine like terms
2x2 -9x +6 +2x
2x2 -7x +6

Solution
2x2 - 7x +6
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<h2>Answer:   y = - ¹/₂ x + 5 </h2>

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

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

                 ⇒  if the slope of this line = 2     (y = 2x + 2)

                      then the slope of the perpendicular line (m) = - ¹/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

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We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

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                                              y = - ¹/₂ x + 5   (in slope-intercept form)

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Answer:

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I can answer a. b. and c. for you!

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