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2 years ago

What is the equation of the line that is parallel to y=x+4 and that passes through (5,–4)?

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

5 0

Answer:

y = $\frac{1}{5}$ x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{5}$ x + 4 ← is in slope- intercept form

with slope m = $\frac{1}{5}$

• Parallel lines have equal slopes , then

y = $\frac{1}{5}$ x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = $\frac{1}{5}$ x - 5 ← equation of parallel line

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Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

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We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

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Replacing this value into the first equation, we have

$4y=180-2y\\\\
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$x=(4)(30)=120$

Thus, the length of the dog run is 120ft and the width is 30ft.

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3 years ago

10.222 in a fraction

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3 years ago

Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a valu

madam [21]

We will see that the probability of x taking on a value between 75 to 90 is P = 0.5

<h3>How to get the probability?</h3>

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

1 = P(y)*(85 - 65) = P(y)*20

1/20 = P(y).

Now, the probability of x taking a value between 75 and 85 is:

P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5

And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5

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

brainly.com/question/251701

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2 years ago

What is 452 X 652 + 79

lidiya [134]

ANSWER: 294,783

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$294,704+79=294,783$

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3 years ago

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