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3 years ago

15

Divide using long division.

" alt="(x^{2} -5)" align="absmiddle" class="latex-formula"> ÷ $(x-5)$

1 answer:

Morgarella [4.7K]3 years ago

4 0

Answer:

The quotient = x + 5 and the remainder = 20

Step-by-step explanation:

$\frac{x^{2}+0-5 }{x-5}=x+\frac{5x-5}{x-5}$

$\frac{5x-5}{x-5}=5+\frac{20}{x-5}$

The quotient = x + 5 and the remainder = 20

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Write the prime factorization for 168

11Alexandr11 [23.1K]

$168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7$

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3 years ago

The ratio of two complementary angles is 17:13. What is the measure of the smaller angle?

Mariana [72]

We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:

17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.

17x+13x=90
30x=90
x=3

We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.

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3 years ago

The function f(x)= square root of x is translated using the rule (x, y) → (x – 6, y + 9) to create A(x). Which expression descri

Alex73 [517]

The function $f(x)=\sqrt{x}$ is translated according to the rule

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1. Translation of the function $f(x)=\sqrt{x}$ 6 units to the left gives you the function $g(x)=\sqrt{x+6}.$

2. Translation of the function $g(x)=\sqrt{x+6}$ 9 units up gives you the function $A(x)=\sqrt{x+6}+9.$

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2 years ago

If a regular polygon has 40 sides the measure of each interior angle will be

ankoles [38]

Each exterior angle = 360 / 40 = 9 degrees. So each interior angle = 180 - 9
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3 years ago

Read 2 more answers

What two numbers add to 13 but multiply to negative 12?

Phoenix [80]

9514 1404 393

Answer:

13.8654599313 and -0.8654599313

Step-by-step explanation:

If one of the numbers is x, then the other is 13-x, and their product is ...

x(13 -x) = -12

x^2 -13x = 12 . . . . multiply by -1 and simplify

x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square

(x -6.5)^2 = 54.25

x -6.5 = √54.25

x = 6.5 +√54.25 ≈ 13.8654599313

and the other number is ...

13 -x = 13 -13.8654599313 = -0.8654599313

The two numbers are 13.8654599313 and -0.8654599313.

3 0

2 years ago