Answer:
7000= 7 x 10^{3}, 700= 7 x 10^{2}, 70= 7 x 10^{1}, 0.7= 7 x 10^{-1}, 0.07= 7 x 10^{-2}, 0.007= 7 x 10^{-3}
Step-by-step explanation:
YES
Answer:
The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft
Step-by-step explanation:
Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.
We will then find the position to place the plant where the suns rays can get to the base of the plant
Note that the fence is in between the sun and the plant, therefore we have
Height of fence = 5 ft.
Angle of location x from the fence = lowest angle of elevation of the sun, θ
This forms a right angled triangle with the fence as the height and the location of the plant as the base
Therefore, the length of the base is given as
Height × cos θ
= 5 ft × cos 27.5° = 4.435 ft
The plant should be placed at a location x = 4.435 ft from the fence.
Answer:
Graph A
Step-by-step explanation:
For each piece of the function the first number is included (0, 4, 8) and second number excluded (4, 8, 12). Included points are solid and excluded are open dots.
It's correctly reflected in A graph only.
Hi!
So for this problem, we're given the y-coordinate and we can plug that in for y in the equation. So let's do that
-1 = -3/5x - 7
6 = -3/5x
30 = -3x
-10 = x
The missing coordinate would be x, assuming that the equation was y = (-3/5)x - 7
The function in vertex form is

(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is

, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.