Answer:
we know that
If two figures are similar, then its corresponding sides are proportional and its corresponding angles are congruent
In this problem
Triangles XZY and VZW are similar
therefore
corresponding angles are congruent
∠XZY≅∠VZW
∠ZXY≅∠ZVW
∠XYZ≅∠VWZ
corresponding sides are proportional
Step-by-step explanation:
Answer:
(0, inf)
Step-by-step explanation:
The average rate of change of a function is related to it's first derivative. When the first derivative is positive, the average rate of change is positive, which means that the function is crescent.
Now, when the first derivative is negative, the average rate of change will be negative too, and the function is going to be decrescent.
In your function.
We have: f'(x) = 2x
2x > 0 when x > 0. So when x > 0 the average rate of change of your function is positive, and it's values increases as the time increases. When x < 0, the average rate of change is negative, so, as the time increases, the values of f decrease.
You can use a graphic tool to plot f and visualize this better.
hope you like the answer
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Answer:
225 in.^3
Step-by-step explanation:
You need to find the volume of the container.
The container has the shape of a rectangular prism.
volume = length * width * height
volume = 5 in. * 4.5 in. * 10 in.
volume = 225 in.^3
Answer:
g = 3
Step-by-step explanation:
If you distribute (x+7)(x-4) you get:
x²+3x-28
Compare it to the question:
x²+gx-28
and it becomes obvious that g = 3