Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
1 answer:
Answer:
y = 18.25
Step-by-step explanation:
The 2-point form of the equation of a line can be used to write the equation of the line through the given points.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-2 -7)/(3 -(-1))(x -(-1)) +7
y = -9/4(x +1) +7
For x = -6 this evaluates to ...
y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7
y = 18 1/4
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Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²
<h3>What is the Surface Area of a Rectangular Prism?</h3>Surface area of a rectangular prism = 2(wl+hl+hw)
Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together
Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²
Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²
Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²
Surface area of the composite shape = (102 + 72) - 12 = 162m²
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