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3 years ago

Simplify:1/1-x^(b-a)+1/1-x^(a-b)

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

simplify:

1/1-x^(b-a)+1/1-x^(a-b)

$\frac{1}{1-x^{b-a}} + \frac{1}{1-x^{a-b}}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a})(1-x^{a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+x^{b-a+a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+1)}\\= \frac{2-x^{a-b}-x^{b-a}}{2-x^{b-a}-x^{a-b}}\\= 1\\ \\$

Hence the required answer is 1

ra1l [238]3 years ago

5 0

Answer:

<h3>hope it helps you have a great day keep smiling be happy stay safe </h3>

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Simplify. 4−16÷4+42 −16 13 15 16

Dimas [21]

Answer:

[See Below]

Step-by-step explanation:

✦ First split the equation in little pieces and solve them:

✧ 4 - 16 = -12

✧ 4 + 4² = 20 (4² = 16)

✦ Now divide them:

✧ -12 ÷ 20 = -0.6

So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

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3 years ago

Solve this equation for x. round your answer to the nearest 0 = ln (x+6)

MissTica

Answer: $x=-5$

Step-by-step explanation:

To solve this exercise you need to remember the following:

$e^{lnx}=e^{lny}$ → $x=y$

Therefore, keeping the above on mind, you can solve for x as following:

$e^0=e^{ln(x+6)}$

$e^0=x+6$

Remember that, by definition: $a^0=1$ , then you have:

$1=x+6$

Subtract 6 from both sides of the equation.

Then the value of x is:

$1-6=x+6-6\\x=-5$

4 0

3 years ago

The perimeters of similar triangles are in the same ratio as the corresponding sides

wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

k = d/a

Because the same factor applies to all sides, we also have ...

k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

d = a·k
e =b·k
f = c·k

The perimeter of ΔABC is ...

perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

perimeter(DEF) = d + e + f = a·k + b·k + c·k

perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

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3 years ago

GIVING BRAINLIEST AND 20 points!

mestny [16]

Answer:

The answer is 27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3y+6+3)=196−16

(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)

6y+12+6=196+−16

(6y)+(12+6)=(196+−16)(Combine Like Terms)

6y+18=180

Step 2: Subtract 18 from both sides.

6y+18−18=180−18

6y=162

Step 3: Divide both sides by 6.

162

y=27

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2 years ago

What is 2 5/8 x 2/5

elena-14-01-66 [18.8K]

Answer:1 1/20

Step-by-step explanation:

2 5/8 x 2/5

(8x2+5)/8 x 2/5

21/8 x 2/5

(21 x 2) ➗ (8 x 5)

42 ➗ 40

42/40=21/20=1 1/20

4 0

3 years ago

Simplify:1/1-x^(b-a)+1/1-x^(a-b)​

Simplify:1/1-x^(b-a)+1/1-x^(a-b)