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Novay_Z [31]
3 years ago
9

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
First, let's re-arrange to slope-intercept form.

x + 8y = 27

Subtract 'x' to both sides:

8y = -x + 27

Divide 8 to both sides:

y = -1/8x + 3.375

So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.

So the slope of the perpendicular line will be 8.

Now we can plug this into point-slope form along with the point given.

y - y1 = m(x - x1)

y - 5 = 8(x + 5)

y - 5 = 8x + 40

y = 8x + 45
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Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How
lidiya [134]

Option A

The simple interest earned over 6 years is $ 4050

<em><u>Solution:</u></em>

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

<em><u>The formula for simple interest is given as:</u></em>

Simple\ Interest = \frac{p \times n \times r}{100}

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

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<em><u>Substituting the values we get,</u></em>

Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050

Thus simple interest earned over 6 years is $ 4050

6 0
3 years ago
Cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?
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Answer:

C) 142,488

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8 0
3 years ago
Ugh idkplease help ASAP
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12/23 = 0.5217 = 52%
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How to know if a triangle is an equalatirral, isoscles, or obtuse?
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Equilateral: all sides are the same length
isosceles: two sides are the same length
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