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2 years ago

Coordinates of the vertex for the parabola y=x^2+6x-7

Mathematics

1 answer:

zheka24 [161]2 years ago

6 0

Answer:

(-3, -16)

Step-by-step explanation:

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$V=1,000\ ft^{3}$

$r=16/2=8\ ft$ ----> the radius is half the diameter

substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

$95.68\ ft^{3}=95.68*7.5=718\ gal$

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2 years ago

Muna has 23 cars available to rent. Let c be the number of cars she would have left after r renting of them. Write an equation r

BigorU [14]

Answer:

Step-by-step explanation:

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2 years ago

Divide -5/9 by 5/7 : a)-7/9 b)-9/7 c)7/9 d)9/7

Reil [10]

Answer:

Step-by-step explanation:

-5/9 ÷ 5/7

= -5/9 × 7/5

= -7/9

The answer should be a

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2 years ago

How do you find the width of a rectangle when the perimeter is given?

ololo11 [35]

Usually you are given more information about the rectangle such as distance of length in terms of width.

You know that the formula for perimeter is

P=2(l+w)

Substitute p and the other values to find width.

Hope I helped :)

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3 years ago

In the game of baseball, there are 3 in outs per inning . A pitcher who pitches 4 innings and gets two batters out in the fifth

weeeeeb [17]

Answer: Yes, it is correct

Step-by-step explanation: Because of that, When you multiply 4.2 x 3 x 4 = 50.4

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2 years ago