What is the slope of a line perpendicular to y=-7/4x
2 answers:
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Answer:
It will take Madeline 13 minutes to heat her hot tub from 93° to 103°
Step-by-step explanation:
Hot tub is 70.15 cubic feet
70.15 cubic feet = 524.76 gallons
n is the number of sides of the shape, so apothem will always be
side length/2tan(30) on a regular hexagon
Apothem comes out to 2.598 multiplied by perimeter yields 23.3827 (area of base)
9514 1404 393
Answer:
- vertical shift: 7 (up)
- horizontal shift: 2 (right)
- vertical asymptote: x=2
- domain: x > 2
- range: all real numbers
Step-by-step explanation:
For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.
Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.
The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.
The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.
The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."
The graph is shown below. The vertical asymptote is the dashed orange line.
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The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.
