Answer:
Centre = (-2,7) B
radius = 6
Step-by-step explanation:
The general formula for finding the equation of a circle is expressed as shown:
(x-h)²+(y-k)² = r² where (a,b) is the centre and r is the radius of the circle
Given the equation of the circle C in question (x+2)²+(y−7)²=36. We will compare the given equation to the general equation.
On comparison;
-h = 2
h = -2
-k = -7
k = 7
r² = 36
r = √36
r = ±6
From the answers gotten, it can be inferred that the centre of the circle (h,k) is (-2,7) and the radius of the circle is 6.
Radius of a circle cannot be a negative value so we will ignore the negative value of 6.
Answer:
DV/dt = 0,2355 m³/min
Step-by-step explanation:
Conical tank volume V = 1/3 *π*r²*h
r radius at the top 2 meters
when depth of water is 3 meters the radius of the level of water is:
let α angle of vertex of cone then
tan∠α = 2/8 tan∠α = 1/4 tan∠α = 0,25
At the same time when water is at 3 meters depth radius is
tan∠α = r/3 0,25*3= r r = 0,75 m
Now
DV/dt = (1/3)*π*r²*Dh/dt
Dh/dt = 0,4 meters/min
By substitution
DV/dt = 0,2355 m³/min
5-2y=3x divide one both sides
5-2y/3=x
Switch the sides
X=5-2y/3
Download Cymath and they will have the answer
Answer:
Part 3)
Part 4) 
Step-by-step explanation:
Part 3)
<em>step 1</em>
Find the value of x
In the right triangle of the figure we know that
The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse
so
and remember that
substitute
Simplify
<em>step 2</em>
Find the value of y
In the right triangle of the figure we know that
The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse
so
and remember that
substitute
Part 4) Find the value of x
Applying the Pythagoras Theorem
Simplify
Answer:
dff
Step-by-step explanation:
saf
