Step-by-step explanation:
The perpendicular line has a slope that is the negative reciprocal of the other line's slope. So, in this case, the slope should be 1/3 (it's positive because a negative times a negative is a positive). This gets rid of all of the answers except for the last, I suppose.
Answer:
The next three terms are 54, 162, 486
Step-by-step explanation:
Exponential sequences you multiply to find the next term
6 x 3 = 18 (to find the next term you can multiply the previous term by 3)
18 x 3 = 54
54 x 3 = 162
162 x 3 = 486
It’s colder in Oslo, -12.
Answer:
A. The maximum heigh is 81 feet
B. The ball will reach the maximum heiight at 2.25 seconds
C. The domain of the function is ![t\in [0,4.5]](https://tex.z-dn.net/?f=t%5Cin%20%5B0%2C4.5%5D)
D. The range of the function is ![h(t)\in [0,81]](https://tex.z-dn.net/?f=h%28t%29%5Cin%20%5B0%2C81%5D)
E. 4.5 seconds
Step-by-step explanation:
A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the ball after t seconds is represented by the equation:

The maximum height will be at parabola's vertex. Find it:

A. The maximum heigh is 81 feet
B. The ball will reach the maximum heiight at 2.25 seconds
C. Find where the parabola intersects the x-axis:

So, the domain of the function is ![t\in [0,4.5]](https://tex.z-dn.net/?f=t%5Cin%20%5B0%2C4.5%5D)
D. The range of the function is
![h(t)\in [0,81]](https://tex.z-dn.net/?f=h%28t%29%5Cin%20%5B0%2C81%5D)
E. The ball is at the air for 4.5 seconds
Answer:
2005.34 ft
Step-by-step explanation:
The equation for surface area of a cylinder is A=2 π r h+2π r^2, so by replacing the r with the given radius and h with the provided height, you merely follow the usual steps to solve an equation, which leads you to the answer of 2005.34 ft!