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n200080 [17]
3 years ago
6

Solve for x. 7^8=7^8×7^x

Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

Answer:

x = 0

Step-by-step explanation:

Apply the exponent rule.

7^8=7^{x+8} \\

If a^{f(x)} = a^{g(x)}  then f(x) = g(x)

8 = x + 8

x = 0

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Answer:

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Step-by-step explanation:

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

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Step-by-step explanation:

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3 years ago
Read 2 more answers
In the fraction 35/10 what is the product that lies between
RUDIKE [14]
The result of the fraction is 3.5

we can calculate this like this:
\frac{35}{10} = \frac{5*7}{2*5} = \frac{7}{5}=3.5

I think that the question is asking between which two natural numbers the result lies, and the result is 3 and 4: it's bigger than 3 and smaller than 4

 
8 0
3 years ago
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