Answer:
a =7.5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10 ^2 = 12.5^2
a^2 + 100 =156.25
Subtract 100 from each side
a^2 = 56.25
Take the square root of each side
sqrt(a^2) = sqrt( 56.25)
a =7.5
Answer:
4.63 cubic yard.
Step-by-step explanation:
Given,
The length of sidewalk, l = 100 feet,
Width, w = 5 feet,
Depth, h = 3 inches = 0.25 feet,
Thus, the volume of the concrete needed for making the sidewalk,
= 125 cubic feet,
∵ 1 cubic yard = 27 cubic feet,
⇒ 1 cubic feet = 
cubic yard,
Thus, the quantity of concrete needed = 
≈ 4.63 cubic yard.
Answer:
, see the graph attached for a visual reference.
Step-by-step explanation:
Vertical asymptotes are only present in rational functions where the parent function 
has a vertical asymptote at the line 
and a horizontal asymptote at the line 
. Because the vertical asymptote has to be 
, the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be 
, then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is .
Answer:
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Sample Answer:<em> </em></h3><h3><em>A linear function has a constant rate of change, while a nonlinear function does not. For a table of values to be linear, the outputs must have a constant rate of change as the inputs increase by 1. On a graph, the function must be a straight line to be linear.</em></h3>
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