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2 years ago

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 − 12x + ___?

Mathematics

2 answers:

maks197457 [2]2 years ago

8 0

36
the complete square is (x-6)^2

kondaur [170]2 years ago

4 0

36 is the correct answer.

12x is the middle number.

12/2 = 6

6^2 = 36

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A rectangular prism has a square base with side length 5 centimeter and a height of 7 centimeters what is the volume of the pris

kiruha [24]

Answer:

175 cm³

Step-by-step explanation:

the volume( V) of a rectangular prism is

V = area of base × height = 5² × 7 = 25 × 7 = 175 cm³

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2 years ago

Mr.Walden wrote the expression. He asked his students to write an equivalent expression of simplified form.

mafiozo [28]

Answer:

option D

Brianna

Step-by-step explanation:

Given in the question the expression wrote by Mr.Walden

$\frac{p^{-5} }{q^{0} }$

To write the simplified form of this expression we will use negative rule of exponent

$b^{-n}$ = 1 / $b^{n}$

$q^{-5} = \frac{1}{q^{5} }$

so,

$\frac{1}{q^{5} x q^{0} }$

$\frac{1}{q^{5} p^{0} }$

Only Brianna wrote right simplification of the expression written by Mr.Walden

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2 years ago

An object is thrown from a height of 5 in. After 2 s, the object reaches a maximum height of 9 in, and then it lands back on the

Marta_Voda [28]

Answer:

y=-(x-2)^2+9

Step-by-step explanation:

Hope this helps

7 0

2 years ago

A rocket is divided into three sections. The top section is one-eighth the length of the bottom section. The middle section is o

Ahat [919]

Answer:

312 ft

Step-by-step explanation:

The steps are as follows :

1. The problem can be described as an equation

$x + \frac{1}{2}x + \frac{1}{8}x = 312$

2. Convert all values on the left side into their equivalent fractional values

$\frac{8}{8}x + \frac{4}{8}x + \frac{1}{8} x = 312$

3. Combine like terms

$\frac{13}{8} x = 312$

4. Multiply both sides by the reciprocal of 13/8 to isolate variable X

$concept \: \: \: ({ \frac{8}{13} \times \frac{13}{8} }) = 1$

$\frac{8}{13} \times \frac{13}{8}x = 312 \: \times \frac{8}{13}$

5. Simplify

$x = 192$

6. Check answer by using it in the original equation

$(192) + \frac{1}{2}(192) + \frac{1}{8} (192) = 312$

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2 years ago

Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intre

Marianna [84]

Answer:

$45

Step-by-step explanation:

We are given the following information;

Money invested (Principal) is $300
Rate of interest is 5% per annum
Time the money is invested is 3 years

We need to determine the amount of interest the money will earn after three years.

Simple interest is calculated by the formula;
Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

= $45

Thus, the money invested earned a simple interest of $45

3 0

2 years ago