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3 years ago

Does the following relationship represent a function?

Mathematics

2 answers:

Naddik [55]3 years ago

6 0

Answer:

Yes

Step-by-step explanation:

Each input must only have one output. In other words, an x-value goes with one y-value. in this model, each input has an output.

NeX [460]3 years ago

4 0

Answer:

i think that the correct answer would be yes

Step-by-step explanation:

hope this helps

i am so sorry if the answer is wrong

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The length of the base of a rectangle prism is 3 feet and its width is 2 feet. The length of the diagonal of the prism is 6 feet

Ede4ka [16]

Answer:

4.8 feet

Step-by-step explanation:

Since length and width of base is 3 and 2 respectively, we find the diagonal of the base with pythagorean theorem.

$3^2+2^2=h^2\\9+4=h^2\\13=h^2\\h=\sqrt{13}$

This hypotenuse is the base of a triangle with height as the height of the prism and hypotenuse being the hypotenuse of the prism.

So we can again use pythagorean theorem to solve for the height of the prism (let height of prism be x)

$(\sqrt{13} )^2+x^2=6^2\\13+x^2=36\\x^2=36-13\\x^2=23\\x=\sqrt{23}$

To the nearest tenth, height is 4.8 feet

3 0

4 years ago

Matt has a block. He uses one of the flat surfaces of the block to trace a triangle. What type of solid figure is Matt's block?

Katen [24]

Triangular prism OR Pyramid

6 0

3 years ago

Read 2 more answers

What is the domain and range of f(x) = 1 tan^2 x?

ch4aika [34]

The domain of f(x) = 1 + tan^2 x is all real numbers.
The range of f(x) = 1 + tan^2 x is 1 ≤ f(x) ≤ 2

6 0

4 years ago

Prove-: sin5A = 5cos^4 A sinA - 10cos^2 A sin^3 A + sin^5 A

jeyben [28]

$A=x\\\\sin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\\\\L=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\\-------------------------------\\sin3x=sin(2x+x)=sin2xcosx+sinxcos2x\\=2sinxcosxcosx+sinx(cos^2x-sin^2x)\\=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\\-------------------------------$

$sin3xcos2x=(3sinxcos^2x-sin^3x)(cos^2x-sin^2x)\\=3sinxcos^4x-3sin^3xcos^2x-sin^3xcos^2x+sin^5x\\=3sinxcos^4x-4sin^3xcos^2x+sin^5x\\-------------------------------$

$cos3x=cos(2x+x)=cos2xcosx-sin2xsinx\\=cosx(cos^2x-sin^2x)-2sinxcosxsinx\\=cos^3x-sin^2xcosx-2sin^2xcosx=cos^3x-3sin^2xcosx\\-------------------------------$

$sin2xcos3x=2sinxcosx(cos^3x-3sin^2xcosx)\\=2sinxcos^4x-6sin^3xcos^2x\\-------------------------------$

$
(*)=3sinxcos^4x-4sin^3xcos^2x+sin^5x+2sinxcos^4x-6sin^3xcos^2x\\\\=5sinxcos^4x-10sin^3xcos^2x+sin^5x=R$

$=======================================\\\\sin(\alpha+\beta)=sin\alpha cos\beta+sin\beta cos\alpha\\\\cos(\alpha+\beta)=cos\alpha cos\beta-sin\alpha sin\beta\\\\sin2\alpha=2sin\alpha cos\alpha\\\\cos\alpha=cos^2\alpha-sin^2\alpha$

5 0

3 years ago

How many 0.3L glasses can be filled from a 5.25 jug of juice

Lostsunrise [7]

Answer:

17.5

Step-by-step explanation:

5.25 divided by 0.3

7 0

3 years ago