Simplify. Assume that no denominator equals zero.

Answers

Answer 1

Answer: $(x^2-25)/(x^2-2x)* (x-2)/(x^2+5x)$

Let's factor all four of these before we multiply.

x² - 25
We want two numbers that add to -25 and multiply to 0.
= (x+5)(x-5)

x² - 2x
Both terms are divisible by x.
= x(x-2)

x - 2
unfactorable

x² + 5x
Both terms are divisible by x.
= x(x+5)

Now we have this:

$((x+5)(x-5))/(x(x-2))* (x-2)/(x(x+5))$

Let's go ahead and multiply across.

$((x+5)(x-5)(x-2))/(x(x-2)x(x+5))$

Cancel out the (x+5) and (x-2) from the top and the bottom.

$\boxed{(x-5)/(x^2)}$

Answer 2

Answer: Before we solve this equation, we need to simplify it. x²-25 will simplify to (x-5)(x+5). x²-2x would simplify to x(x-2) after we factor out a x. x-2 is prime, so we won't do anything to it. x²+5x will simplify to x(x+5) after we factor out an x.

Now this is what we have:
$[(x-5)(x+5) ]/x(x-2) * (x-2)/[x(x+5)]$
If we look at the top and the bottom of the fractions, we see that we have two x-2's and two x+5. Those will cancel out.
$[(x-5)/x]*(1/x)$
Now we will multiply across to get
$(x-5)/x^2$

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What is the difference between complementary and supplementary angles

Answers

Complementary angles are two angles whose sum is 90 degrees.

Supplementary angles are two angles whose sum is 180 degrees.

Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent (sharing a vertex and side, or next to), but they can be. ... The difference is their sum.

Erin runs laps each day on a track that is 4/8 miles long. This week, she ran 4 4/8 miles on the track. How many laps did she run?

Answers

First, we're going to convert the mixed number into a/n improper fraction.
(4 × 8 ) + 4 = 36/8

Now we're going to divide 36/8 by 4/8 since 4/8 = 1 lap.
36 / 4 = 9.

That is how we get our answer, 9 laps.

Our final answer is 9 laps.

Hope this helps!~

What is 3/8 plus 4/5 with the lcm for the denominators?

Answers

Answer:

1 7/40

Step-by-step explanation:

3/8+4/5

LCM of denominator=40

{(3*5)+(4*8)}/40

(15+32)/40

47/40

1 7/40

Answer:

LCM = 40

Step-by-step explanation:

3/8 x 5 = 15/40

4/5 x 8 = 32/40

CeeCee recorded the number of necklaces for sale at 10 different locations and then arranged the numbers from smallest to largest. The numbers of necklaces for sale at the locations were 4, 4, 4, 5, 8, 9, 9, 9, 9, and 9. The mean number of necklaces for sale at the locations was 7.What is the mean absolute deviation?

0

2

2.2

4.4

Answers

MAD = 2.2

Hope it helps!

What is the mean absolute deviation?
The mean absolute deviation is 2.2!
Hope this helps!

If these two shapes are similar what is the missing length m?

Answers

Answer:

First you divide 12 by 3 to get 4 then you divide 4 by 4 to get 1. so M=1

Answer:

Step-by-step explanation:

Because u divide it

Tonya took out a loan to help pay for her house. She borrowed $60,000 for 15 years at a yearly simple interest rate of 5%. How much interest will she end up paying the bank?A.
$9,000
B.
$450
C.
$45,000
D.
$450,000

Answers

I believe your answer is C). because 5% of 60,000 is 3,000, then 3,000 x 15 = 45,000.

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Explain the steps you would take to write 36/10 as a decimal

(09.02 HC)The function f(x) = −x2 + 24x − 80 models the hourly profit, in dollars, a shop makes for selling coffee, where x is the number of cups of coffee sold, and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points) (10 points)