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iren2701 [21]
3 years ago
15

What will be the answer in the finish box

Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0

Answer:

Step-by-step explanation:

In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4

In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25

In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17

In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6

In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13

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The prove that the equation can be verified using the laws of exponents.

<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>

It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).

It follows from the laws of indices ; particularly, the product of same base numbers.

The evaluation is therefore as follows;

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Hence, since LHS = RHS, it follows that the expression is mathematically correct.

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