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Lena [83]
2 years ago
8

What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1)

and (7, 1)?
Mathematics
1 answer:
raketka [301]2 years ago
7 0

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

The slope formula can be used to find the slope of the parallel line.

  m = (y2 -y1)/(x2 -x1)

  m = (1 -1)/(7-(-2)) = 0

The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.

  y = 3

_____

If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...

  y = 0x +3

It is pretty unusual to keep 0 terms in an equation. Usually, they are eliminated when the equation is simplified.

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A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n
lesya692 [45]
B = 100(1 + 0.04)^12 = 100(1.04)^12 = 100(1.601) = $160.10
8 0
3 years ago
Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does War
alexdok [17]

7 Quarters

20 nickels

13 dimes

5 0
3 years ago
How many revolutions does a go kart with a wheel circumference of 62.8318 inches make in a 1609 m race? Please answer as quickly
Rudiy27

Answer: 1008 revolutions

Step-by-step explanation:

1 revolution is equal to 2\pi r

To find how many revolutions the wheel makes, you must divide the distance traveled in the race between the circumference of the wheel

You must first convert 62.8318 in to meters.

We know that 1 inch is 0.0254 meters

Then

62.8318\ in*\frac{0.0254\ m}{1\ in}= 1.5959\ m

revolutions = \frac{1609}{1.5959}\\\\revolutions=1008.21\\

Finally The wheel made 1008.21 revolutions

3 0
3 years ago
What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
stich3 [128]

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

<h3>How to measure the internal angles?</h3>

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

4 0
2 years ago
Complete the equation for the standard form of the line that has an x-intercept of -5 and a y-intercept of -4.
Verdich [7]

Answer:

Intercept form     \frac{x}{-5} + \frac{y}{-4} = 1

The standard form of the equation of the line

   4 x + 5 y +20 =0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that x-intercept (a) = -5

and y-intercept (b) = -4

Intercept form

                 \frac{x}{a} + \frac{y}{b} = 1

                \frac{x}{-5} + \frac{y}{-4} = 1

          ⇒   \frac{4x+5y}{-20}  = 1

                4 x + 5 y = -20

<u><em>Final answer:-</em></u>

The standard form of the equation of the line

               4 x + 5 y +20 =0

7 0
3 years ago
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