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Charra [1.4K]
3 years ago
12

Write the equation of the line parallel to the given line and passing through the given point. y= 1/2 x+2 through (0,4)

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Parallel lines have the same slope, so the slope of the new line is 1/2.

The line passes through (0,4), and this gives the y-intercept, which would equal 4.

The equation now would be: y = 1/2x + 4

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Find the volume of the triangular prism to the right
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Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>

<em />

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

  • We can identify the base easily because the base and the top of the prism are exactly the same shape

Area of triangular base:

 A = \frac{bh}{2}

 A = \frac{1}{2} (9 ⋅ 9)

 A = \frac{1}{2} (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

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 V = 567 ft³

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Use the menu provided to answer the following question. If a student purchased 1 can of juice, 2 slices of pizza, 1 bag of peanu
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$8.25

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