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2 years ago

What should be added to both sides of the equation below to complete the square?

Mathematics

1 answer:

Sveta_85 [38]2 years ago

8 0

Answer:

Step-by-step explanation:

x² + 6x = 8

Coefficient of the x term: 6

Divide it in half: 3

Square it: 3²

Add 3² to both sides of the equation to complete the square and keep the equation balanced:

x² + 6x + 3² = 8 + 3²

(x+3)² = 17

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Write the exact value of, or estimate, the side length of a square with an area of 100 square units.

timofeeve [1]

Answer:

l =10 units, 9.7 units, 5.5 units

Step-by-step explanation:

Area = length x breadth

Area of a square = l^2

100= l^2

√100 =√l^2

l=10 units

95=l^2

√95 = √l^2

l= 9.7 units

30=l^2

√30=√l^2

l= 5.5 units

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2 years ago

How much of the sphere do you have to paint red so that no matter ow you put a cube in it, some corner touches red?

Triss [41]

Explanation:

To achive that you have to piant a ring in red, which will have its big diameter equal to the sphere diameter and its small diameter equal to the cube diagonal.

The diagonal of the cube can be calculated using Pithagoras:

$D^2=L^2+L^2$

Where D is the diagonal and L is the side of the cube

4 0

2 years ago

Please and thank you

Yanka [14]

The picture is to blurry sorry

8 0

3 years ago

Read 2 more answers

Find g(9) if g(x) =2 (x+3)-4

ikadub [295]

Answer:

Step-by-step explanation:

g(9)=2 since g(x)=2

6 0

2 years ago

Fred has a bakery. He sells 40 cakes in a day. If his sales increased by 120%, how many cakes will he sell in a day?

Nutka1998 [239]

You change 120% into a decimal, 1.20
then you multiply 1.2 by 40

Answer: 48 cakes Fred will sell a day

7 0

2 years ago