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DerKrebs [107]
3 years ago
15

Which of the following lines would be perpendicular to a line whose equation is y=1/2x-7 and pass through the point (-10,7)?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

The answer to your question is     y = -2x - 13

Step-by-step explanation:

Data

Original line    y = 1/2x - 7

Point = (-10, 7)

New line = ?

Process

1.- Find the slope of the original line

    The slope is the coefficient of the x

                     y = 1/2x - 7

    slope = 1/2

2.- Find the slope of the new line

The new line is perpendicular to the original line

    slope = -2

3.- Find the equation of the new line

          y - y1 = m(x - x1)

          y - 7 = -2(x + 10)

-Simplification

          y - 7 = -2x - 20

          y = -2x - 20 + 7

          y = -2x - 13

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X = -4/3
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3 0
3 years ago
Read 2 more answers
Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?
Hunter-Best [27]

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

<em>Amount paid for down payment</em> = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Learn more about percentage:

brainly.com/question/2236179

7 0
3 years ago
Which statement is true of z11.7?
Alexxx [7]

Answer

z11.7 is between 1 and 2 standard deviations of the mean.

Step-by-step explanation:

7 0
3 years ago
plz i need help with this its due tmrw!! (also my other most recent question is #6 of this and it would be nice for answers for
kipiarov [429]

7. <u>You have $367.50 after two years.</u>

<em>Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.</em>

<em>350(0.025) = 8.75</em>

<em>Since it's for two years, multiply by two. </em>

<em>8.75 x 2 = 17.5.</em>

<em>Add it on to he original, and we have</em>

<em>350 + 17.5 = 367. 5, or $367.50 when converted back to money. </em>

8. <u>The annual interest rate is 2.4%</u>

<em>find the interest rate per year: </em>

<em>120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to. </em>

<em>Set up a system of equations and cross multiply.</em>

<em />\frac{48}{2000} = \frac{x}{100}<em />

<em>2000x = 48(100) > 2000x = 4800</em>

<em>2000</em><em>/2000</em><em>x = 4800</em><em>/2000 > </em><em>x = 2.4</em>

<em>So, the interest rate is 2.4%. </em>

9.  <u>the interest paid is $300 after six months, and $600 after a year.</u>

<em>Find the interest rate, similar to problem 7. </em>

<em>3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.</em>

10. <u>four years.</u>

<em>Find interest rate. </em>

<em>200(0.035) = $7/year</em>

<em>Remember that value. Subtract needed from current.</em>

<em>228 - 200 = $28. </em>

<em>So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years. </em>

5 0
3 years ago
Simplify
Lapatulllka [165]

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

7 0
3 years ago
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