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Leni [432]
3 years ago
15

What is an equation of the line that passes through the point (-5, -6) and is

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer: y= 2x +4

Step-by-step explanation:

1. To be able to write the equation of the line, you want to be able to find the slope first. To do so, rearrange the given equation x+2y=2 into slope-intercept form, which is y=mx+b

First subtract x from both side, which will give us 2y=2-x. Rearrange this to get 2y= -x+2. Then, divide both sides by 2. This will give us y= -1/2x+1

2. Now that you have the equation, look for the slope in the new equation; this will be the m value. In this case, the slope is -1/2. Since we are looking for a line that is perpendicular, we have to change the slope so that it is the opposite reciprocal. The opposite reciprocal of -1/2 is 2, so the slope of the equation we want to find is 2.

3. Next, all we have to do is plug the given ordered pair (-5, -6) and the slope that we found (m=2) into the point-slope equation, which is y-y_{1} = m(x-x_{1} )

That will give us:

y+6 = 2(x+5)

4. Now, solve this equation.

y+6 = 2(x+5)  --> distribute the 2 inside the parentheses

y+6 = 2x + 10  --> subtract 6 from both sides

y= 2x +4

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87.5% of what number is 49?
kozerog [31]
Answer=56

87.5%*y=49
.875y=49
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.875    .875
divide both sides by .875
y=56


7 0
3 years ago
A family paid ​$30600 as a down payment for a home. If this represents ​%17 of the price of the​ home, find the price of the hom
snow_lady [41]

Answer:

180000

Step-by-step explanation:

30600/17=1800

1800•100=180000

7 0
3 years ago
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A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. find the height and radius of the cup that will use the
alekssr [168]
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
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hence the value of x will be:
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6 0
3 years ago
What is the value <br> 6=a/4+2
Tpy6a [65]

Answer:

a=16

Step-by-step explanation:

16/4+2 = 6

Thus the answer is 16

7 0
3 years ago
Vladimir is walking down the street at a speed of 4 miles per hour. Write an equation for the distance in miles, d, that Vladimi
zubka84 [21]

Answer:

d=4t

Step-by-step explanation:

We have been given that Vladimir is walking down the street at a speed of 4 miles per hour. We are asked to write an for the distance in miles, d, that Vladimir walks over time in hours, t.

We will use rate formula to solve our given problem.

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Distance}=\text{Speed}\times\text{Time}

Upon substituting our given information in distance equation, we will get:

d=4\cdot t

d=4t

Therefore, the equation d=4t represents the distance that Vladimir walks over time in hours.

8 0
3 years ago
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