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:
f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A
Step-by-step explanation:
The vertical line test is used to show that the graph represents a
function or not
- If the vertical line crosses the graph in more than one point, then the graph does not represent a function
- If the vertical line crosses the graph in only one point in different positions, then the graph represents a function
The horizontal line test is used to show that the function has an
inverse or not
- If the horizontal line crosses the graph of a function in more than one point, then the function has no inverse
- If the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverse
Let us look at the given graph
→ The graph represents a parabola, which represents the function f(x)
∵ Any horizontal line drawn will cross the graph in more than one point
∴ f(x) has no inverse
∴ f(x) does not have an inverse function, because its graph fails the
horizontal line test.
Answer: The estimate is greater than the actual mass.
The distance is 12.041594578792295. Round to 12.0
<span>This would be a bell curve with a z-score of greater than +2.00, since 3 minutes is exactly two standard deviations greater than the mean of 2.00. Looking at a z-score table for the proportion of the curve that lies in the 1-tailed area greater than 2.00, we find that the value is .0228. This would be the probability that the conversation is over three minutes: 0.0228 or 2.28%.</span>
