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3 years ago

Let x^2−12x=61 .

1 answer:

8 0

You would need to add 36 to both sides to complete the square.

This is because you take half of the x term and then square it.

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What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot

inna [77]

Answer: 2*√18 + 3*√2 + √162 = 18*√2

Step-by-step explanation:

I guess that the equation is:

2*√18 + 3*√2 + √162

And we want to simplify it.

first 18 = 9*2

then we can write:

2*√18 = 2*√(9*2) = 2*3*√2 = 6*√2

and 162/9 = 18

then we can write:

√162 = √(9*18) = √9*√18 = 3√18

now we can use the previous step: √18 = 3*√2

and:

√162 = 3*(3*√2) = 9*√2

now we can write our equation as:

6√2 + 3√2 + 9√2 = (6 + 3 + 9)√2 = 18*√2

And now we can not simplify it further more, so here we end.

4 0

3 years ago

Jason delivered pizzas to a house in Southaven. The pizzas cost the customer $18.25. They tipped Jason $3.65. At what percent di

scoundrel [369]

Answer:

$3.65/$18.25

Step-by-step explanation:

$3.65/$18.25

=0.2=2%

This is the correct answer

5 0

3 years ago

The denominator of a fraction is 10 more than its numerator.

Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$

Multiplying both sides by 3(x+10)

$3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5$

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

8 0

3 years ago

Help ASAP pls !!!!!!!!!!!!!

bonufazy [111]

Answer:

I think it's B.

Step-by-step explanation:

They are asking for integers greater than -3 and less than 5.

4 0

4 years ago

Read 2 more answers

It only let's me put one question but I have a few so yeah<br>£127 decreased by 19%

Yuki888 [10]

O C N
100% - 19% = 81%
£127 ::: X
Cross multiply

X =102.87

6 0

4 years ago

Let ​ x^2−12x=61 .​

Let x^2−12x=61 .