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2 years ago

Can a triangle be formed with side lengths 15, 20, and 24? Explain.

Mathematics

1 answer:

Aleks [24]2 years ago

8 0

Answer:

Yes

Step-by-step explanation:

According to triangle inequality, the sum of any two side must be greater than the third side. So we take the two smallest side and find the sum

15 + 20 > 24

YES it can

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Write -1/2 as a decimal number

Ann [662]

<h2>Answer:</h2>

<u>1/2 is equal to 0.5, so </u><u>-1/2 is -0.5</u><u>.</u>

If you divide -1 by 2, you get -0.5.

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3 years ago

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Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.

Flauer [41]

Answer:

$\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}$

Step-by-step explanation:

Given

$\sqrt{128a^{6}b^{13}}$

Required

Solve

$\sqrt{128a^{6}b^{13}}$

The expression can be split to:

$\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}$

$\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}$

So, we have:

$\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}$

$\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}$

Rewrite as:

$\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}$

$\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}$

$\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}$

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2 years ago

Based on the graph below, how would you describe the curve?

motikmotik

Answer:

It's A.

Step-by-step explanation:

For every value of x there is one value of y - we can draw a vertical line through any value of x and it will pass through only one value of y.

Therefore it is a one-to-one function.

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3 years ago

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Help please!!!<br> given that a^b=x, what is a^b+2?<br> thanks!! <33

Cerrena [4.2K]

RULE:

a^(n + m) —» a^n × a^m

ANSWER:

We are given, a^b = x

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Using exponent rule,

a^b × a²
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2 years ago

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You are a woodworker who is designing a custom doghouse. The doghouse will have an A frame, with the front and back of the house

kondor19780726 [428]

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Step-by-step explanation:

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