The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it repres
ent?
1 answer:
Answer:
Rate of change = 6 miles per hour
Step-by-step explanation:
Rate of change of the line is represented by the slope of the line.
Formula to get the rate of change is,
m =
From the graph attached,
Given straight line is passing through two points (2, 12) and (4, 24).
Rate of change =
=
= 6
Rate of change of the line = 6 miles per hour
Therefore, rate of change of the graph will define the speed of Arlene.
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Answer:
x =
Step-by-step explanation:
Using Pythagoras' identity on the upper right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let the third side be d, then
d² + b² = a² , that is
d² + 8² = 11²
d² + 64 = 121 ( subtract 64 from both sides )
d² = 57
Using Pythagoras' identity on the lower right triangle, then
x² + c² = d²
x² + 2² = 57
x² + 4 = 57 ( subtract 4 from both sides )
x² = 53 ( take the square root of both sides )
x =