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Katena32 [7]
3 years ago
9

Write an equation of the line that passes through (2, -3) and is perpendicular to the line y=-2x-3

Mathematics
2 answers:
Natalija [7]3 years ago
8 0

Answer:

y=\frac{1}{2} (x-2)-3 or y=\frac{1}{2} x-4

Step-by-step explanation:

The perpendicular slope is the opposite-reciprocal of the original slope:

Perpendicular slope of -2 is \frac{1}{2}

Write the equation in point-slope form (y=a(x-h)+k):

y=\frac{1}{2} (x-2)-3

Convert to slope-intercept form if needed:

y=\frac{1}{2} x-1-3

y=\frac{1}{2} x-4

Ulleksa [173]3 years ago
8 0
Im only commenting so you can make the answer above the brainliest!
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Answer:

√254 feet

Step-by-step explanation:

This is basically a triangle, with a height of 2, and hypotenuse of 16.

Using the Pythagorean theorem (a^2+b^2=h^2) we can find the other side.  

2^2+b^2=16^2

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The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $5.50 and bags of cookies c
vaieri [72.5K]

Let's assume

the number of bags of candy =x

the number of bags of cookies =y

There were 5 more bags of cookies sold than candy

so, we get

y=x+5

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so, total cost of candy is

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bags of cookies cost $3.50

so, total cost of cookies is

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so,

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now, we can plug y

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5.5x\cdot \:10+3.5\left(x+5\right)\cdot \:10=53.5\cdot \:10

55x+35\left(x+5\right)=535

55x+35x+175=535

90x+175=535

90x+175-175=535-175

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the number of bags of candy =4

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3 years ago
What is the distance between points A(3, 8) and B(-3, 4)?
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