Answer:
See below.
Step-by-step explanation:
Shape A is congruent to shape <u>___F___</u>, as shown by a reflection across the y-axis and then a translation down <u>__3___</u> units. B is congruent to shape <u>__D__</u>, as shown by a reflection across the y-axis and then a translation down <u>__2___</u> units
Answer:
150 pi inches or 471.239 inches traveled
Step-by-step explanation:
First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.
You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel
The formula for circumference is 2(pi)(r) or (pi)(diameter)
We are given diameter, so let's find distance traveled for one rotation
pi(15 inches) = 15pi inches per rotation.
There are 10 rotations, so:
(15pi inches/rotation)(10 rotations) = 150pi inches travelled
150 x pi = 471.239 inches traveled
He made a mistake in step #2. It seemed to be a trivial mistake because it involved signs, but it still had a great impact. Since step#2, his solution was already wrong.
Instead of
(-1)²-4(2)(-6) = 1 + 48 = 49
What he did is
(-1)²-4(2)(-6) = -1 + 48 = 47
Answer:

Step-by-step explanation:
See attachment for math work and answer.