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Fiesta28 [93]
3 years ago
13

Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20​

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

Step-by-step explanation:

8x+5y = 20

y = (-8/5)x + 4

slope of the line is -8/5.

slope of any perpendicular to the line is ⅝.

line of slope ⅝ that passes through P(4,5):

y-5 = ⅝(x-4)

y = ⅝x + 2.5

find intersection of lines

⅝x + 2.5 = (-8/5)x + 4

25x + 100 = -64x + 160

89x = 60

x = 60/89, y = 260/89

distance between (60/89, 260/89) and (4,5) = 3.92

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Tom decides to paint one wall in his room green. Use the dimensions below to calculate the area of the this wall.
Anton [14]

Option C:

Area of the wall =94\frac{15}{16} square feet

Solution:

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Width of the wall = 7 \frac{3}{4} feet

Area of the wall = length × width

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Convert mixed fraction into improper fraction.

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Convert improper fraction into mixed fraction.

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Option C is the correct answer.

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3 years ago
Which of the following represents a solution to the equation d3 - 343?
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3 years ago
Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
atroni [7]

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

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For 48 binders, this would cost 1.5*48 = 72 dollars

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