Answer:
(-1, 1)
Step-by-step explanation:
Multiply f(x) or y value by -2, so (-1, 2) -> (-1, -4)
Add 5 to the f(x) or y value since it is a vertical translation, so (-1, -4) -> (-1, 1)
Answer:
The pythagorean identity that is correct is option B:
B. tan^2(theta)+1=sec^2(theta)
Step-by-step explanation:
The pythagorean identities are:
1.) sin^2(theta) + cos^2(theta) = 1
2.) tan^2(theta) + 1 = sec^2(theta)
3.) 1 + cot^2(theta) = csc^2(theta)
Then the pythagorean identity that is correct is option B:
B. tan^2(theta)+1=sec^2(theta)
Answer:
Yes, the triangles are similar by the SSS similarity theorem.
Step-by-step explanation:
SSS means side, side side. That's two triangles having all three, 3 sides similar to each other.
For the first question:Using the distance=rate x time formula (d=rt). Your equation would be y=38x. The 38 comes from the kathryn’s speed(rate).
For the second question: because you know the distance is now 53 substitute 53 for y and solve. 53=38x. Where x represents her time. She travels the 53 miles at a rate of 38mi/h (53 divided by 38) and solve in terms of hours 1.3947or rounded to the nearest tenth 1.4 which in terms of hours is 1 hour 24 minutes.
Answer:

Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:

The height is marked as
inches. Thus, the volume of the prism is:
