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spin [16.1K]
2 years ago
9

What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
3 0

First, let us solve for the slope of the line which it intersects with:

m’ = (y2 – y1) / (x2 – x1)

m’ = (-3 – 4) / (-2 – 5)

m’ = 1

 

The slope of the perpendicular line is the negative reciprocal, therefore:

m = - 1 / m’

m = - 1 / 1

m = -1

 

<span>So the slope of the line is -1.</span>

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Answer:

  about 0.177 mg/mL

Step-by-step explanation:

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Solving for t gives ...

  t = 1/2.802

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8 0
2 years ago
If $4000 is borrowed at a rate of 16% interest
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Answer:

(a) $7492

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(c) $14,032

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

A = P(1 + \frac{r}{n} )^{nt}

where,

A = Final Amount due

P = Initial principal amount borrowed

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

(a) in 4 years ;-

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(b) in 6 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(6)}

⇒ A = 10,253

(c) in 8 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(8)}

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3 years ago
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\huge \boxed{y

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y + 4x < -3

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y + 4x -4x< -3-4x

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y

4 0
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arsen [322]
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