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nikitadnepr [17]
2 years ago
14

Find the sum

Mathematics
1 answer:
lakkis [162]2 years ago
4 0

Answer:

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2)   factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a))     factor denominators

= 1/(b+a) ( 2b/(b+a) + 2a/(b-a))    find common denominator

= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a))   expand

= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a))  simplify & factor

= 2/(b+a)(b^2+a^2)/((b+a)(b-a))  simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

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A person jogs 1/2 miles in 1/12 hours. The person's speed is how many miles per hour?
ipn [44]

Answer:

6 miles per hour

Step-by-step explanation:

speed = distance/time

speed = 1/2÷1/12 which is the same as

1/2 x 12/1 = 6

6 miles per hour.

or ou could change the 1/2 to become 0.5

and the 1/12 to become 0.083333333

and divide 0.5 ÷ 0.083333333 = 6.000000024

rounded to one decima place become 6.0

6 miles per hour

5 0
3 years ago
you are adding 3 2/3+2 2/3 using fraction strips explain how you rename the fraction part of the problem
garri49 [273]
We have to add 3 2/3 + 2 2/3 using fraction strips. 3 2/3 and 2 2/3 are the mixed numbers. The mixed numbers consists of a whole number and a fraction. If we want to add those numbers we shoukld change them into improper fractions: 3 2/3 = ( 3 * 3 + 2 ) / 3 = 11 / 3; 2 2/3 = ( 2 * 3 + 2 ) / 2 = 8 / 3. Finally: 11 / 3 + 8 / 3 = ( 11 + 8 ) / 3 = 20 / 3 = 6 2/3. Answer: You reneme it turning them into improper fractions<span>. </span>
4 0
3 years ago
Read 2 more answers
Name the number that is
tiny-mole [99]

Answer:

y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.

I hope this helps

6 0
2 years ago
Which set of numbers has 11 as a common factor? {154, 231} {143, 221} {33, 39} {77, 91}
Fofino [41]

Answer:

33

Step-by-step explanation:

11 is a command factor of 33

11, 22, 33

3 0
3 years ago
After years of overhunting, environmental scientists have reintroduced mountain goats into Yellowstone National Park. The initia
Tatiana [17]

We want to see how much the population of goats grows each year. We will see that the correct option is c: 17%.

<h3>Exponential growth of populations</h3>

We know that:

  • The initial number of goats is 1,500.
  • After 11 years, the population is 8,400.

The population can be modeled with an exponential equation as:

P(t) = A*(1 + r)^t

Where:

  • A is the initial population.
  • r is what we want to find, it depends on how much the population increases.
  • t is the time in years.

So we have:

P(t) = 1500*(1 + r)^t

And we know that after 11 years the population is 8,400, so we have:

P(11) = 1500*(1 + r)^11 = 8400

Now we can solve this for r:

(1 + r)^11 = 8400/1500 = 5.6

(1 + r) = (5.6)^(1/11) = 1.17

r = 1.17 - 1 = 0.17

r = 0.17

To get it in percentage form, you just need to multiply it by 100%

0.17*100% = 17%

This means that the population increases a 17% each year, so the correct option is c.

If you want to learn more about exponential growth, you can read:

brainly.com/question/13223520

7 0
2 years ago
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