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lawyer [7]
3 years ago
6

A test of a hybrid car resulted in 4,840 miles driven using

Mathematics
2 answers:
Andru [333]3 years ago
4 0

Answer:

Hey there!

We can write the proportion:

88/4840 = x/1155

101640=4840x

x=21

The car would need 21 gallons of gas to travel 1155 miles.

Let me know if this helps :)

kirza4 [7]3 years ago
3 0

Answer:

21 gallons

Step-by-step explanation:

4,840 miles = 88 gallons

=> 1155 miles = x gallons

=> Cross-multiply

=> 4840 * x = 1155 * 88

=> 4840x = 101640

=> 4840x/4840 = 101640/4840

=> x = 21

The car can travel 1,155 miles using 21 gallons.

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Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

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Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

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Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

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Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

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