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Studentka2010 [4]
3 years ago
5

Graph y = | x | + 5

Mathematics
2 answers:
Elanso [62]3 years ago
6 0

Answer:

(0,5) (0,-5)

Step-by-step explanation:

tekilochka [14]3 years ago
6 0

Answer:

Step-by-step explanation:

The basic (parent) function here is y = |X|, the absolute value function.

This function has a v-shape that opens up and has its vertex at (0, 0).

Each leg is at a 45° angle to the x - axis.  Draw this.

Then translate the entire graph upward by 5 units.  The result will be the graph of  y = | x | + 5.

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A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
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Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = Area of triangle \times height

432 = Area of triangle \times8

Dividing both side by 8

54 = Area of triangle

54 =  \frac{1}{2} \times base \times height

54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height

Multiplying both side by 2

108 = 12 \times height

Dividing both side by 12

9 = height

Thus, height of the triangular base of the prism is 9

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