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Valentin [98]
3 years ago
15

Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an

d (6,7).
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

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An animal shelter houses ferrets, cats, and dogs. There are 108 animals at the shelter. Of the
Korvikt [17]

Number of dogs in the shelter are 12

<u>Step-by-step explanation:</u>

Step 1:

Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.

Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36

Step 2:

Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.

Remaining number of animals = 108 - 36 = 72

Number of cats = 5/6 of 72 = 5/6 × 72 = 60

Step 3:

Find number of dogs in the shelter.

Number of dogs = 108 - (36 + 60) = 108 - 96 = 12

7 0
3 years ago
Can someone please help me?
Dima020 [189]
The answer to the first one is 72.

8 0
3 years ago
On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for
Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

  • 391 people used the public swimming pool
  • The daily prices are $1.25 for children and $2.25 for adults
  • The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
If the range is 52 and the lowest score is 29, what is the highest score?​
shepuryov [24]

Answer:

81

Step-by-step explanation:

Range = maximum - minimum so here, we'd have:

52 = max - 29

Add 29 to both sides to solve.

7 0
3 years ago
Opposite sides of a rectangle must be parallel true or false
shtirl [24]
Yes it does have to be parallel or else it would not be a rectangle.So it is true.

Hope this helped! :)
6 0
3 years ago
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