The hypotenuse of a right triangle has length 17 and one of the legs has length 15. Find the length of the other leg.

Mathematics

1 answer:

Neko [114]3 years ago

5 0

Answer:

The second leg has 8 units length

Step-by-step explanation:

Hypotenuse of the right triangle = 17 units

Leg 1 = 15 units

Let's find the length of Leg 2, using the Pythagorean Theorem, this way:

Leg 2 ² = 17² - 15²

Leg 2 ² = 289 - 225

Leg 2 ² = 64

Leg 2 = √64

Leg 2 = 8 units

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4 years ago

Avaluate 2^3x-1 for x=1

DENIUS [597]

Answer:

4 or 7 (Check the explanation to see which one your equation actually is.

Step-by-step explanation:

One thing I want to clarify for you, It's Evaluate, not Avaluate.

Okay so, we want to find the value of 2^3x-1 and we know x = 1.

You didn't really clarify if the expression was $2^{3x-1}$ or $2^{3x}-1$ , so I'll be doing both:

For $2^{3x-1}$ , we should plug in x to get $2^{3(1)-1}$ and then simplify to get $2^{2}$ .

2 to the power of 2 or $2^{2}$ is equal to 2 * 2 or 4.

The second one, $2^{3x}-1$ , we should plug in x to get $2^{3(1)}-1$ and then to become $2^{3}-1$ . 2 to the power of 3 or $2^{3}$ is 8 and then minus 1 is 7.