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3 years ago

Which pairs of variables have a linear relationship? Select

Mathematics

2 answers:

Neko [114]3 years ago

6 0

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Suppose you are given cube with side length of x units.

Then

Side length = x units

Perimeter = 4x units

Area of 1 face $=x^2$ square units

Surface area $=6x^2$ square units

Volume $=x^3$ cubic units

A linear relationship is any equation that, when graphed, gives you a straight line.

Consider all options:

A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function $y=kx$ is a straight line.

B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation $y=kx^2$ .

C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation $y=kx^{\frac{3}{2}}$ .

D. Area of 1 face and surface area is a linear relationship, because the graph of the function $y=kx$ is a straight line.

E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation $y=kx^3$ .

xenn [34]3 years ago

4 0

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

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3 years ago

Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her total

AnnZ [28]

Answer: $352.48

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

A = P (1 + r)^t

Where

A: total balance after invest

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t = time (years)

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Rina8888 [55]

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So, plug in 10 for one of the legs and 24 for the other leg

c will be left blank because that is what you are trying to find, the hypotenuse

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100 + 576 = c²

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