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3 years ago

-8, 22, 52, 82, ... Find a 20

Mathematics

1 answer:

gladu [14]3 years ago

8 0

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = 30.

a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562

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Which is the simplest radical form of √52?

Zielflug [23.3K]

Short answer: 2 * sqrt(13)
Remark
There are a number of ways to look at this. I'll pick the easiest.

Step one
Factor 52 until there are no more prime factors to be used.

52 = 2 * 26
52 = 2 * 2 * 13. That's as far as you can go.

Rule
For every 2 equal prime factors, 1 of them can be taken out side of the root sign. The other one disappears.

sqrt(52) = sqrt(2*2* 13) = 2*sqrt(13)

Answer 2sqrt(13) <<<< answer

4 0

3 years ago

Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BX-10%7D" id="TexFormula1" title="\frac{1}{X-10}" alt="\frac{1}{X-10}

mr Goodwill [35]

In the second fraction, factorize the denominator:

$x^2-9x-10=(x-10)(x+1)$

Then we have, as long as $x\neq10$ ,

$\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}$

which you could also write as

$\dfrac{x+1}{9x}=\dfrac x{9x}+\dfrac1{9x}=\dfrac19+\dfrac1{9x}$

4 0

3 years ago

What does the quantity 28-8 represent?

nikklg [1K]

You question implies simple subtraction is needed:

28-8=20

5 0

2 years ago

Chelsea and her friends are making small fruit baskets for their neighbors. They have 90 pears, 45 peaches, and 75 apples. What

iVinArrow [24]

Answer:

15 baskets

Step-by-step explanation:

This question is a GCF question

The first step would be to find the factors of 45, 75 and 90

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor is 15.

Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets

3 0

3 years ago

A line goes through the points (-4,7) and (1,2) what is the equation of the line

OLga [1]

Answer:

I think it is 4, 14?

Step-by-step explanation:

6 0

3 years ago