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2 years ago

True or false? The graph represents a function 5 -5 A True B. False

Mathematics

1 answer:

Daniel [21]2 years ago

6 0

Answer:

True

Step-by-step explanation:

It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point

this means that for every input (x value) there is only one output (y value)

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3 years ago

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Brrunno [24]

Answer:

Step-by-step explanation:

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3 years ago

Find the volume of each figure

pshichka [43]

Answer:

See explanation

Step-by-step explanation:

1. The first figure shows triangular prism. The volume of the triangular prism is

$V=\text{Base area}\times \text{Height}$

The base of this triangular prism is the triangle with the base of 7 cm and height of $h$ cm (it is not seen).

The base area is

$\text{Base area}=\dfrac{1}{2}\times \text{Base}\times \text{Height}=\dfrac{1}{2}\times 7\times h=\dfrac{7h}{2}\ cm^2$

and the volume of the prism is

$V=\dfrac{7h}{2}\times 13=\dfrac{91h}{2}\ cm^3$

Just substitute the length of the height and calculate the volume.

2. The second figure shows square pyramid. The volume of the square pyramid is

$V=\dfrac{1}{3}\times \text{Base area}\times \text{Height}$

The base of this square pyramid is the square with the side length of 4 yd.

The base area is

$\text{Base area}= \text{Side Lenght}^2=4^2 =16\ yd^2$

and the volume of the pyramid is

$V=\dfrac{1}{3}\times 16\times 12=64\ yd^3$

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2 years ago