Answer:
Step-by-step explanation:
i dont have paper with me rn so i cant actually write the equations, but slope intercept is y=mx+b form so all you have to do is find the slopes (y2-y1/x2-x1) and plug a coordinate into point slope form. simplify and rearrange to y=mx+b form. hope this helped
Answer:
<h2>x = 4</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 30° - 60° - 90° and 45° - 45° - 90°.
The sides are in proportions:
30° - 60° - 90° ⇒ 1 : √3 : 2
45° - 45° - 90° ⇒ 1 : 1 : √2
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Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Common factor because its used more than once so its common
Answer:
(0,2)
Step-by-step explanation:

(0,2)
Hope this helps!