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3 years ago

Simplify the expression: 3(2x2 + 7x + 4) - 8x2 + 15

Mathematics

1 answer:

Softa [21]3 years ago

5 0

Answer:

-2x² + 21x + 27

Step-by-step explanation:

distribute 3 to get:

(6x² + 21x + 12) - 8x² + 15

combine 'like terms' to get:

-2x² + 21x + 27

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3 years ago

What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)

AysviL [449]

Answer:

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Step-by-step explanation:

Given the equation

$y=-\frac{2}{5}x-1$

comparing the equation with the slope-intercept form $y=mx+b$

Here,

m is the slope

b is the intercept

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

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$y+8=\frac{5}{2}\left(x-2\right)$

subtract 8 from both sides

$y+8-8=\frac{5}{2}\left(x-2\right)-8$

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3 years ago

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Step-by-step explanation:

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