3 years ago

Triangles DEF and D'E'F' are shown on the coordinate plane below:

Mathematics

2 answers:

givi [52]3 years ago

8 0

Answer:

90° clockwise

Step-by-step explanation:

Lorico [155]3 years ago

5 0

The correct answer is:

90° clockwise

Explanation:

Comparing the image points to the pre-image points, we can see that in every ordered pair, x and y have been switched and x has been negated. Algebraically, this means (x, y)→(y, -x).

This is the same mapping that a 90° clockwise rotation performs, so that is our answer.

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3 years ago

7. What is the arc length shown in the picture? Leave your answer in terms of pi.

snow_lady [41]

Answer:

$14\pi$

Step-by-step explanation:

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3 years ago

Please please please help!! i’ll mark the brainliest and give 15 points!!!!

Korolek [52]

9514 1404 393

Answer:

-108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

$a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}$

_____

Alternate solution

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

$a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}$