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STALIN [3.7K]
3 years ago
9

find the equation for the line perpendicular to y=4/3x+1 with y-intercept 0,15 in slope-intercept form

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

y = (-3/4)x + 15

Step-by-step explanation:

The slope of the given line is 4/3.  The slope of a line perpendicular to this given line is the negative reciprocal of 4/3, which comes out to -3/4.

Now that we have both the slope and y-intercept of the new line, we're ready to write out the desired equation in slope-intercept form:

y = (-3/4)x + 15

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What is the x-and y-intercept of the graph 4x -5y =40??
umka21 [38]

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

4x-5y=40

To identify the y-intercept, we will need to format the equation in the form y=mx+b. We can start by subtracting 4x from both sides of the equation:

-5y=-4x+40

Divide both sides of the equation by the coefficient of y, which is -5:

y=\frac{-4}{-5} x - 8

The b is representative of the y-intercept in y=mx+b.

Identify b in the equation y=\frac{-4}{-5} x - 8:

b=-8

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the y in the equation y=\frac{-4}{-5} x - 8 with a zero:

0=\frac{-4}{-5} x - 8

Add 8 to both sides of the equation:

8=\frac{-4}{-5} x

You can go ahead and divide -4 by -5 to get rid of the fraction:

8=0.8x

Divide both sides of the equation by the coefficient of x, which is 0.8:

10=x

Therefore, our x-intercept is 10.

8 0
2 years ago
Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish cos
kolezko [41]

The system of equations that can be used to determine the number of tetra fish and goldfish purchased is:
x = 2 y. 2 x + 1.5 y = 20

<h3>What are the system of equations ?</h3>

In order to determine the required values, two linear equations would be formed from the question. The two equations would exhibit the relationship between the two types of fishes:

The first equation would show the ratio between the two types of fishes bought: 2y = x

Th second equation would show the total cost of the two type of fish:1.5y + 2x = 20

To learn more about simultaneous equations, please check: brainly.com/question/16763389

#SPJ1

6 0
2 years ago
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There is a raffle at a hockey game and 125 tickets are sold. Maris bought 3 tickets. What percent of the tickets
Alina [70]

Answer:

2.4%

Step-by-step explanation:

6 0
2 years ago
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Solve the inequality 1+5(x-8)&lt;2-(x+5)
Dominik [7]

Answer:

The answer is x<6 I hope this helps

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
17 + x =31 <br> i need help
Gelneren [198K]

Answer:

x= 14

Step-by-step explanation:

First (and only) we subtract 17 from both sides :

17 + x - 17 = 31 - 17

x = 31 - 17

x = 14

Hope this helped and have a good day

4 0
1 year ago
Read 2 more answers
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