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2 years ago

What is the solutions of the equation 2 (x+2) ^2-4=28

Mathematics

1 answer:

JulsSmile [24]2 years ago

3 0

Answer:

x = 2 x = -6

Step-by-step explanation:

2 (x+2) ^2-4=28

Add 4 to each side

2 (x+2) ^2-4+4=28+4

2 (x+2) ^2= 32

Divide by 2

2/2 (x+2) ^2=32/2

(x+2)^2 = 16

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 16)

x+2 = ±4

Subtract 2 from each side

x+2-2 = -2±4

x = -2±4

x = -2+4 and x = -2-4

x = 2 x = -6

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Hello!

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3 years ago

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yulyashka [42]

Answer:

SA = 1099 square inches.

Step-by-step explanation:

Just plug into the formula

SA = 2pir^2 + 2pi r h where pi = 3.14, r = 5 and h = 30

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3 years ago

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Jan left her home and drove for 5.2 hours due north at a rate of 60 miles per hour. After visiting a friend, she drove due south

Andreyy89

Answer:

180 miles

Step-by-step explanation:

Going North

Formula

d = r * t

Givens

r = 60 mph

t = 5.2 hours

d = ?

Solution

d = 5.2 * 60 = 312 miles north

Going South

Givens

r = 55 mph

t = 2.4 hours

Solution

d = r * t

d = 55 * 2.4

d = 132

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2 years ago

An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?

Olenka [21]

82 degrees and 98 degrees

First, find the original equation

180 = (x) + (x + 16)

Simplify: 180 = 2x + 16

Next, use the subtraction property of equality to subtract 16 from both sides

180 - 16 = 2x + 16 - 16

Simplify: 164 = 2x

Then, you can use the division property of equality to find the value of x

164/2 = 2x/2

Simplify: 82 = x

Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees

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1 year ago