Step-by-step explanation: Given that the graph shows the side view of a water slide with dimensions in feet.
We are to find the rate of change between the points (0, ?) and (?, 40).
From the graph, we note that
the y co-ordinate for the x co-ordinate 0 is 80 and the x co-ordinate for the y co-ordinate 40 is 5.
So, the given two points are (0, 80) and (5, 40).
The rate of change for a function f(x) between the points (a, b) and (c, d) is given by
Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is
Thus, the required rate of change is -8.
Answer:12
Step-by-step explanation:
C because that’s where the lien is going
Answer:
The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."
Step-by-step explanation:
Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.
For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.
For (0,-4): y = 2x - 4 becomes:
which is a TRUE statement
For (2,0): y = 2x - 4 becomes:
which is also a TRUE statement.
This option is the only one that verifies both given points as truly being part of the given line.
Answer:
41 units
Step-by-step explanation:
Pythagorean's theorem,
Hypotenuse² = base² + adjacent²
Diagonal² = length² + width²
= 40² + 9²
= 1600 + 81 = 1681
Diagonal = √1681 = 41 units