Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)
Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points,
D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)
Divide 250 from 250 and 1000 to get 1/4.
Answer: 82
Step-by-step explanation:
Answer:
Value of ![[(\frac{2}{3}) ^0]^{-3}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E0%5D%5E%7B-3%7D)
is, 1
Step-by-step explanation:
To find the value of ![[(\frac{2}{3})^0]^{-3}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B3%7D%29%5E0%5D%5E%7B-3%7D)
Using exponents power rule:
then;
Simplify:
By Zero exponent rule: Anything raised to the power 0 is 1. i.e,
then;
= 1
Therefore, the value of is, 1
To determine the time it takes for the maximum height to be achieved, derive the equation and equate to zero.
h = -16t² + 112t + 30
dh / dt = 0 = 2(-16)t + 112
The value of t is 3.5 s. Substitute this value of time to the equation for h,
h = -16 x (3.5 s)² + 112 x 3.5 s + 30 = 226 ft
Thus, the answer is letter D.
