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Scorpion4ik [409]
3 years ago
15

Which of the following is equal to the rational expression when x 2 or -4? 5(x-2)/(x-2)(x+4)

Mathematics
1 answer:
Elena L [17]3 years ago
6 0
Wait when x= 2 or -4? is the second part options or 5(x-2)/(x-2)(x+4)
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Help please and thank you
aksik [14]
Remember
(a^b)^c=a^{bc}
and
\frac{x^a}{x^b}=x^{a-b}


so

\frac{(7^2)^5}{7^{-6}}=
\frac{7^{2*5}}{7^{-6}}=
\frac{7^{10}}{7^{-6}}=
7^{10-(-6)}=
7^{10+6}=
7^{16}

the answer is D
5 0
3 years ago
Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?
pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.                

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

24^2 + 32^2\\=576 + 1024\\=1600\\=40^2

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0
3 years ago
Read 2 more answers
What is the value of x?<br> A. 5<br> B. 8.7<br> C. 11.5<br> D. 20<br> AND MAKE SURE YOU EXPLAIN IT!
AlekseyPX
D. 20 it's a 30-60-90 degree triangle so because the length of the hypotenuse is twice the length of the shortest leg
8 0
3 years ago
What is the answer to the problem 21+40(2x-3)
12345 [234]

Answer:

x = 1.2375 or 99/90

Step-by-step explanation:

<u>Step 1:  Distribute</u>

21 + 40(2x - 3)

21 + 80x - 120

<u>Step 2:  Combine like terms</u>

21 + 80x - 120

80x - 99

<u>Step 3:  Solve for x</u>

80x - 99 + 99 = 0 + 99

80x / 80 = 99 / 80

x = 1.2375

Answer:  x = 1.2375 or 99/80

3 0
3 years ago
Read 2 more answers
Identify two composite numbers that each have 8 as a factor.
Lemur [1.5K]
Two composite numbers that have 8 as a factor are 16 and 24.
7 0
3 years ago
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