All categories

2 years ago

Use the reverse of the distributive property to find the original expression. 5a + 10b - 25c

1 answer:

8 0

In the distributive property, we distribute something from the outside of the parentheses into the inside of the parentheses by multiplying . The reverse would be pulling a common factor from inside to the outside by dividing (factoring). In order to do this we have to find something common to everything in the parentheses. a, b, and c are not common, so let's look at the numbers...
5, 10, and 25 all have a factor of 5, so we need to divide each thing in the parentheses by 5 and bring it to the outside...

5a + 10b - 25c =

(5a/5)+(10b/5)-(25c/5)

5(a + 2b - 5c)

Done!

If you want to check it, do the distributive property and multiply 5 through the parentheses and you should get your original expression.

5(a + 2b - 5c) =
5a + 10b - 25c

It checks!

You might be interested in

Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

5 0

2 years ago

Someone help please I’ll mark brainliest! Leave a small explanation

masya89 [10]

Answer:

D. (-3,1)

Step-by-step explanation:

When putting pairs it is (X,Y) (horizontal,vertical)

The ones both meet at point D. (-3,1)

7 0

3 years ago

Read 2 more answers

Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!

madam [21]

Hello,

x²/25+y²/9=1

a=5, b=3 c²=a²-b²=25-9=16=4²

Foci are (0,4) and (0,-4)
Answer C
============

3 0

3 years ago

Four times a number added to 9 times the number is 65. What is the number?

MA_775_DIABLO [31]

Answer: 5

Step-by-step explanation:

Let the number = x.

4x + 9x = 65

13x = 65

x = 5

6 0

2 years ago

Read 2 more answers

Find the exact value, without a

Ghella [55]

Answer:

√(2 + √3)/4

Step-by-step explanation:

Sine 5π/12 = Sine (5π/6)/2

Recall

π = 180°

Thus,

Sine (5π/6)/2 = Sine (5×180 /6)/2

= Sine 150/2

Recall

Sine θ/2 = √(1 – Cos θ)/2

Thus,

Sine 150/2 = √(1 – Cos 150)/2

But, Cosine is negative in the 2nd quadrant. Thus,

Cos 150 = – Cos 30 = –√3/2

Thus,

√(1 – Cos 150)/2 = √(1 – –√3/2 )/2

= √(1 + √3/2 )/2

= √[(2 + √3)/2 ÷ 2]

= √[(2 + √3)/2 × 1/2]

= √(2 + √3)/4

Therefore,

Sine 5π/12 = √(2 + √3)/4

4 0

2 years ago