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IceJOKER [234]
3 years ago
11

Find the value of c that completes the square

Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

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6. The dimensions of a living room are 18 ft. by 15 ft. by 8ft. If air weighs 0.08 lb. per cubic foot, the weight of the air in
user100 [1]

The weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.

<h3>What is a rectangular prism?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The dimensions of a living room are 18 ft. by 15 ft. by 8ft.

The volume of the living room = volume of the cuboid:

V = length×width×height

V = 18×15×8

V = 2160 cubic ft

The weight of the air = 0.08 lb. per cubic foot

The weight of the air in the room = 0.08×2160

The weight of the air in the room = 172.8 lb

Thus, the weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.

Learn more about the rectangular prism here:

brainly.com/question/21308574

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7 0
2 years ago
Short Response To earn a varsity letter on the baseball team, you must play in 60% of the games. Derek played in 11 out of 18 ba
Alla [95]

Answer:

Yes, he earned a Varsity letter because he played in 61% of the games.

Step-by-step explanation:

To know the percent of games he played out of the total, we can do it by dividing the games he played by the total of games and multiply this by 100% to get the percent of games he played:

\frac{11}{18}*100%

We solve:

0.611111*100% = 61.11%

So we know that he earned a letter because he played in 61.11% of the games, more than he needed.

7 0
3 years ago
What is the typical age of people shown in the frequency table?
Sergio039 [100]

Answer:

Step-by-step explanation:

4 0
3 years ago
Cade road 1 3/5th miles on Saturday and 1 3/4th on Sunday. how far did he ride on the two days?
krek1111 [17]
1.60 mi +1.75 mi = 3.35 mi = 3 7/20 mi
4 0
3 years ago
The ratio of ducks to geese in a pond is 3 : 5. There are 27 ducks.<br> How many geese are there?
Gemiola [76]

Answer:

D:G-------> 3:5

27/3=9

9 x 5= 45

45 geese

7 0
3 years ago
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