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adoni [48]
3 years ago
14

Simplify (4/5)^-2 . Show your work!

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

\frac{25}{16}

Step-by-step explanation:

Apply exponent rule: x^{-y}=\frac{1}{x^y}

(\frac{4}{5}) ^{-2}=\frac{1}{\left(\frac{4}{5}\right)^2}=\frac{1}{\frac{16}{25}}=\frac{25}{16}

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Consider that x=5 and y=7. Is the sum of x + y rational, irrational, or neither irrational nor rational!
nasty-shy [4]
The sum of y+x, or 5+7, is rational.  This is because each integer(non fraction/decimal)is rational, it is also rational.
5 0
3 years ago
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0
3 years ago
Read 2 more answers
Can someone plz help this is like my 5th time putting up this question!!!
serg [7]

Answer:

the table should be 25,98,173,248

3 0
3 years ago
How do i solve 2x(n 3) ??
forsale [732]
<span>Simplifying 2x + n = 3
 
Reorder the terms: n + 2x = 3
 Solving n + 2x = 3
 
Solving for variable 'n'.
 
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Add '-2x' to each side of the equation. n + 2x + -2x = 3 + -2x
 
Combine like terms: 2x + -2x = 0 n + 0 = 3 + -2x n = 3 + -2x
 
Simplifying n = 3 + -2x</span>
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3 years ago
Need help in exponential functions
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A) 18750

replace x with the time (1)
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