The linear model for the data is expressed as: R = 20p - 160.
<h3>How to Write a Linear Model?</h3>
Using two pairs of values from the table values, say, (32, 480) and (33, 500), find the unit rate (m).
Unit rate (m) = (500 - 480)/(33 - 32) = 20/1
Unit rate (m) = 20.
Substitute (p, R) = (32, 480) and m = 20 into R = mp + b to find b
480 = 20(32) + b
480 = 640 + b
480 - 640 = b
b = -160
To write the linear model, substitute m = 20 and b = -160 into R = mp + b:
R = 20p - 160
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Height. Shadow
2.1 m. 5.3 m
X m. 34 m
X=2.1•34/5.3
X=71.4/5.3
X=13.47 m
X~13.5 m
3(y - 2) + 6(x + 1) - 2 = 0
3y - 6 + 6x + 6 - 2 = 0
3y + 6x - 2 = 0
3y = -6x + 2
y = -2x + 2/3
slope = -2, y intercept = 2/3
To find the SA of square pyramid, remember that you must add up the surface areas of all of the shapes that make it up, for instance, here you would need to add the area of the bottom the square to the total area of all 4 triangle faces.
SA = area of square + 4(area of triangle)
SA = 2 m^2 + 4((2m • 5m)/2)
SA = 4 m^2 + 4(5 m^2)
SA = 4m^2 + 20 m^2
SA = 24 m^2.
I believe this would be the solution.
