Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of .
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
Answer:
y = 5 and y = 1
Step-by-step explanation:
⇒ (3y - 2)² + 7 - 7 = 43 - 7
⇒ (3y - 2)² = 36
⇒ √(3y - 9)² = √36
⇒ 3y - 9 = ±6
⇒ 3y - 9 + 9 = 6 + 9
⇒ 3y = 15
⇒ 3y/3 = 15/3
⇒ y = 5
⇒ 3y - 9 + 9 = -6 + 9
⇒ 3y = 3
⇒ 3y/3 = 3/3
⇒ y = 1