Answer:
25% ; 400%
Step-by-step explanation:
Answer:
Options (C) and (E).
Step-by-step explanation:
Rotation is a rigid transformation in which size and shape of the figure and image remains the same.
That means angles and sides of the triangles given in the figure will remain same after the transformations given.
Since, the given triangle has been rotated about a point Z, each rotation will share the vertex Z.
And every figure is the transformed form of the given triangle, all four triangles will be congruent.
Options (C) and (E) are the correct options.
Answer:
not a function
Step-by-step explanation:
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Just simpfly the promblem