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3 years ago

Solve by completing the square: -14 + x^2 = 5x

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

Answer:

x = 7, x = -2

Step-by-step explanation:

<u>Solving by completing square</u>

-14 + x^2 = 5x
x^2 - 5x - 14 = 0
x^2 -2*2.5x + 6.25 - 20.25 = 0
(x -2.5)^2 = 20.25
(x - 2.5)^2 = 4.5^2

x - 2.5 = 4.5 ⇒ x = 7
x - 2.5 = -4.5 ⇒ x = -2

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16/3 as a decimal please help

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Hi , the answer is 5.33333 [the three keeps repeating].
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4 years ago

A right cylinder-shaped water ta is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height

fenix001 [56]

Answer:

The tank can hold 4423.36 feet³ of water.

Step-by-step explanation:

Given that,

Height = 22 feet

Diameter = 16 feet

We need to calculate the maximum amount of water

Using formula of volume

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Where, h = height of cylinder

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3 years ago

#9 part A

expeople1 [14]

Answer:

Cost = [(18×12) + (13×13)] × 3.50

Step-by-step explanation:

The total cost will depend on the area of the living room and the area of the bedroom.

For the living room,

Area 1 = l×w

Area 1 = 18 × 12

For the bedroom,

Area 2 =13 × 13

Total area = (18×12) + (13×13)

The total cost is the area times the cost per square foot.

Cost = [(18×12) + (13×13)] × 3.50

George can use this expression to find the cost of the carpeting.

8 0

3 years ago

Dr. Gilmore's research group tagged and released 800 squirrels for a study of a local park. Later, they trapped 430 squirrels, 4

Mrrafil [7]

Using proportions, it is found that the best estimate for the squirrel population is of 8000.

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A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 43 squirrels out of 430 had tags. Considering that in the entire population, 800 are tagged, and we want to find the total population, the rule of three is given by:

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Applying cross multiplication:

$43x = 430 \times 800$

$x = \frac{430 \times 800}{43}$

$x = 8000$

The best estimate for the squirrel population is of 8000.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length.

s344n2d4d5 [400]

Step-by-step explanation:

So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)

6 0

3 years ago