Answer:
(x-5)^2+(y+4)^2=100
Step-by-step explanation:
As we know the given points
Center = (5, -4)
and
Point on circle = (-3,2)
The distance between point on circle and center will give us the radius of circle
So,
The formula for distance is:
The standard form of equation of circle is:
where h and k are the coordinates of the center. So putting in the value:
Answer:
The factors of 
is ((x+y)-5)(2x+2y+1)
Step-by-step explanation:
Given polynomial
=>
To Find:
The factors of the polynomial =?
Solution:
Lets assume k = (x+y)
Then can be written as 
Now by using quadratic formula
k =
where
a= 2
b= -9
c= -5
Substituting the values, we get
k =
k =
k =
k =
k =
k= 
k = 
k = 
Solving the RHS we get
Substituting k = x+y
Answer:
85.33%
Step-by-step explanation:
64/75=0.8533333...
x100 = 85.33%
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer:
answer is 175
Step-by-step explanation:
i solved it by similarity in triangle small triangle and big triangle are similar to each other.
