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1 answer:
Answer:
k = 4
Step-by-step explanation:
From the graph, it is clear that (4,10), (2,0) points are on the graph of function f(x).
Since, it is a straight line then equation of f(x) is given by
⇒
⇒ y = 5x - 10.
Hence, f(x) = 5x - 10
Given that g(x) = f(kx) = 5kx - 10 and g(x) passes through (1,10) point.
So, 10 = 5k - 10
⇒ 5k = 20
⇒ k = 4 (Answer)
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Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!