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Tasya [4]
3 years ago
11

Passing through point (4, 9) and perpendicular to the line y= -1/5x -3

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

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3 years ago
Find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years
sukhopar [10]

The simple interest accrued is = $750

<h3>Calculation of simple interest</h3>

The principal amount of the loan = $7500

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Using the formula for Simple interest;

SI= P×T×R/100

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2 years ago
Evaluate the difference quotient for the given function. Simplify your answer.
nasty-shy [4]

I suppose you mean

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Then

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and the difference quotient is

\dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5}{x+1}-2}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5-2(x+1)}{x+1}}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{-x+3}{(x+1)(x-3)} \\\\ \dfrac{f(x)-f(3)}{x-3} = \boxed{-\dfrac{x-3}{(x+1)(x-3)}}

If it's the case that <em>x</em> ≠ 3, then (<em>x</em> - 3)/(<em>x</em> - 3) reduces to 1, and you would be left with

\dfrac{f(x)-f(3)}{x-3}\bigg|_{x\neq3} = -\dfrac1{x+1}

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3 years ago
Use the rule 5n - 2 to complete the missing entry<br> For A and B please help!!
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A= -8
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4*-2= -8
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3 years ago
Samantha saved $13 by buying a used DVD. She paid $5 less than half the original price of a new one. How much did Samantha pay f
Artemon [7]
\$13+\$5=\$18\\\\2\cdot\$18=\$36\leftarrow answer
3 0
3 years ago
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