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insens350 [35]
3 years ago
14

What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square?−816−44?

Mathematics
2 answers:
Artyom0805 [142]3 years ago
6 0
Do you see -8x?

Take half of -8 and square it.

So, (-8)/2 = -4.

(-4)^2 = 16

Now add 16 to both sides.
swat323 years ago
6 0

Answer:

The correct option is 2. 16 is added to both sides of the equation.

Step-by-step explanation:

The given equation is

x^2-8x=-10

If an expression is defined as x^2+bx, then we need to add (\frac{b}{2})^2 in the expression to make it perfect square.

In the given equation b=-8.

(\frac{b}{2})^2=(\frac{-8}{2})^2=(-4)^2=16

We need to add 16 on both the sides to solve by completing the square.

Therefore the correct option is 2. 16 is added to both sides of the equation.

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The image shows three sets of stuffed bears. Each set represents a term of the sequence (1, 4, 7, . . .) What is the next term i
frosja888 [35]

Next term = 10

You add 3 to each term to get the next

1+3 = 4

4+3 = 7

7+3 = 10

etc etc

The domain of the sequence is 1,2,3,4,... basically the set of positive whole numbers. This is known as the set of natural numbers or counting numbers. We don't include 0. The domain is the set of possible inputs for 'n' in the formula mentioned below.

The range is the sequence of values shown.

The formula to generate the sequence is

an = 3n-2

as shown by these steps below

an = a1 + d(n-1)

an = 1 + 3(n-1)

an = 1+3n-3

an = 3n-2

To get any term you want, plug in a whole number for n. For example, plug in n = 4 to get...

an = 3n-2

a4 = 3*4-2

a4 = 12-2

a4 = 10

Showing that the fourth term is 10 as found earlier above.

3 0
3 years ago
What is the surface area of the triangular prism? A triangular prism. The base is 6 feet by 9 feet. The 2 rectangular sides are
Darina [25.2K]

Answer:

  168 ft²

Step-by-step explanation:

The area of the two triangular bases is ...

  total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²

The lateral area of the prism is the product of the triangle perimeter and the height of the prism.

  lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²

The surface area is the sum of the base area and the lateral area:

  surface area = base area + lateral area

  surface area = 24 ft² +144 ft² = 168 ft²

The surface area of the prism is 168 square feet.

6 0
3 years ago
The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 6 different
Orlov [11]

Answer: 540

Step-by-step explanation:

Given : The owner of a stereo store wants to advertise that he has many different sound systems in stock.

Number of different CD​ players =6

Number of different receivers= 10

Number of  different speakers = 9

We are assuming that a sound system consists of one of​ each .

Then by Fundamental principle of counting , we have

The number of different sound systems can he​ advertise = (Number of different CD​ players)x (Number of different receivers) x(Number of  different speakers)

= 6 x10 x 9 =540

Hence, the number of different sound systems can he​ advertise =540

6 0
3 years ago
A student has two identical sheets of paper. he crumples one up into a small ball. if he drops the sheet of paper and the ball o
Vilka [71]
The air resistance acting on the un-crumbled sheet is greater.
5 0
3 years ago
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22/5 times 2 times 1/3
LUCKY_DIMON [66]

Answer:

44/15 or maybe 2 14/15

Step-by-step explanation:

4 0
3 years ago
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