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Murrr4er [49]
3 years ago
12

Please help asap i will mark branlist please explain both question

Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Answer:

  5.  C.  {(22, 10), (23, 10), (24, 7), (25, 5)}

  6.  C.  x = -2

Step-by-step explanation:

A relation is not a function if a vertical line intersects a graph of it in more than one place.

__

5. A set of ordered pairs is <u>not</u> a function if any of the first-values is repeated.

In set A, (22, ) is repeated.

In set B, (23, ) is repeated.

In set D, (24, ) is repeated.

In set C, no first-value is repeated, so the relation is a function.

__

6. The line x=-2 is a vertical line, so a vertical line intersect it in an infinite number of places. It is NOT a function.

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Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is  13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

V_1=13,824ft^3\\V_2=216ft^3

By Similar solids theorem, if two similar solids have a scale factor of \frac{a}{b}, then corresponding volumes have a ratio of \frac{a^3}{b^3}

Then:

\frac{V_1}{V_2}=\frac{a^3}{b^3}

Knowing this, we can find the scale factor. This is:

\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4

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