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3 years ago

Determine of which lines, if any, are parallel or perpendicular. Explain.

Mathematics

1 answer:

nalin [4]3 years ago

8 0

Answer:

lines b and c are perpendicular

Step-by-step explanation:

Use slope

slope for parallel is the same

slope for perpendicular is negative reciprocal

line a slope- 1-3/-2-0 is -2/-2 or 1

line b slope- 1-4/4-6 is -3/-2 or 3/2

line c slope- 3-1/1-4 is 2/-3 or - 2/3

none are the same so none are parallel

- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular

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Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circula

WITCHER [35]

Answer:

The area of the putting green is 1133.5 square feet.

Step-by-step explanation:

Area of a circle:

The area of a circle is given by:

$A = \pi r^2$

In which r is the radius, which is half the diameter.

The circular putting green has a diameter of 38 ft.

This means that $r = \frac{38}{2} = 19$

What is the area of the putting green?

$A = \pi r^2 = 3.14 * 19^2 = 1133.5$

The area of the putting green is 1133.5 square feet.

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3 years ago

For each sequence, find the first 4 terms and the 10th term.<br> A) n+5<br> B)2n-1

snow_tiger [21]

Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15

(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

5 0

3 years ago

Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries

g100num [7]

Answer:

6:8

Step-by-step explanation:

3 0

3 years ago

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Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = 2)?

EastWind [94]

Answer:

Step-by-step explanation:

can i get that answer lol

4 0

3 years ago

I really need a quick answer! What is 8y + 12?

astra-53 [7]

Answer:

Step-by-step explanation:

To figure out what the value of y is, we must isolate the variable. To do this, we need to use the division property of equality which says that when you divide on one side of the equal sign, you must also divide on the other side.

8y/8 = y

12/8 = 1.5

This tells us the value of y, so next we have to apply this into the problem

8(1.5) = 12

12 + 12 = 24

24 is your answer

8 0

3 years ago

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