7^(-3) = 1/7^3 = 1/343
- 7^3 = - (7^3) = -343
As can be seen, the results are very different.
423 = 100 + 100 + 100 + 100 + 10 + 10 + 3
hope this helps
Answer:
The vertex of this equation is (2, -7)
Step-by-step explanation:
In order to find the vertex of this equation we start with the base form of the vertex form.
y = a(x - h) + k
With this equation (h, k) is the vertex. You can see that 2 lines up with h and -7 lines up with k. This shows that (2, -7) is the vertex.
Answer:
As per the statement
The altitude of the balloon is 50 feet and the rope is 75 feet long.
⇒ Altitude of the balloon = 50 feet.
And length of the rope = 75 feet.
We have to find the angle that rope makes with ground,
Using Sine ratio:

You can see the diagram as shown below.
Here,
Opposite side = Altitude of the balloon = 50 feet.
Hypotenuse side = length of the rope = 75 feet.
Substitute the given values we have;

⇒
= 41.8°
Therefore, the angle that the rope makes with the ground is, 41.8 degree