Answer:
(x-4)^2 + (y-2)^2 = 3^2
or
(x-4)^2 + (y-2)^2 = 9 (simplified if needed)
Step-by-step explanation:
-Equation of a circle is:
where the center is (h, k) and the radius is 
.
-Place the center and the point onto that equation:
-Then, you solve:
-So, the result is:
or
(simplified if needed)
If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient.
The answer is 15i radical 6
Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
Answer:
Step-by-step explanation:
volume = area of base * height = area of base * 9 = 72
-> area of base = 72/9 = 8
let a,b,c be the length of sides of isosceles right triangle base
we have a = b and a*b/2 = 8 ft2
-> a*a/2 = 8ft2
-> a*a = 16
-> a=4ft=b
have c^2 = a^2 + b^2 = 16 +16 = 32
-> c = 
= 5.656 ft
Since i dont know that is DF, i calculate both a,b and c
