9514 1404 393
Answer:
y +3 = 1/2(x +4)
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The point-slope form of the equation for a line is ...
y -y1 = m(x -x1)
Filling in the known values, this is ...
y -(-3) = 1/2(x -(-4))
y +3 = 1/2(x +4)
The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.
<h3>How to calculate the volume of a pyramid?</h3>Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
<u>Where:</u>
Since both pyramids have the same base area as the prism, their combined volume is given by:
Combined volume = (1/3 × b × h) + (1/3 × b × h)
Combined volume = 2/3 × b × h
Also, the volume of this prism = 1/2 × b × h
Thus, the ratio is given by:
Ratio = (2/3 × b × h)/(1/2 × b × h)
Ratio = 2/3 × 1/2
Ratio = 1/3.
Read more on pyramid here: brainly.com/question/16315790
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