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3 years ago

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

Mathematics

1 answer:

MAVERICK [17]3 years ago

8 0

3y=−4x+2

y = -4x/3 + 2/3

y = 3x/4 + 2/3

so the slope is 3/4 remember that perpendicular slope is just the opposite reciprocal of the original slope given.

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2 years ago

A bank is offering 2.5% simple interest on a savings account . if you deposit $5000, how much interest will you earn in one year

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2 years ago

What is the length of line PS

stiks02 [169]

$PQ^2 = PR \times PS$

$(4x + 4)^2 = (3x + 3)(3x + 3 + 21)$

$16x^2 + 32x + 16= (3x + 3)(3x + 24)$

$16x^2 + 32x + 16= 9x^2 + 81x + 72$

$7x^2 - 49x- 56 = 0$

$7(x^2 - 7x - 8)= 0$

$(x - 8)(x + 1) = 0$

$x - 8 = 0~~~or~~~x + 1 = 0$

$x = 8~~~or~~~x = -1$

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

PS = 3x + 24

PS = 3(8) + 24

PS = 24 + 24

PS = 48

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3 years ago