I think the answer is 21
lol jk
C. y=-7/6x-1
Answer:
z=35.1
Step-by-step explanation:
Answer:
<h3><u>Part (a)</u></h3>
<u />
<u>Equation of a circle</u>
where:
- (a, b) is the center
- r is the radius
Given equation:
Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:
- center = (0, 0)
- radius =
To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.
<h3><u>Part (b)</u></h3>
Given equation:
Rearrange the given equation to make y the subject:
Find two points on the line:
Plot the found points and draw a straight line through them.
The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.
To solve this algebraically, substitute into the equation of the circle to create a quadratic:
Now use the quadratic formula to solve for x:
To find the coordinates of the points of intersection, substitute the found values of x into
Therefore, the two points of intersection are:
Or as decimals to 2 d.p.:
(2.35, -0.85) and (-0.85, 2.35)
Do you remember how to find the area of a circle ?
Big Fat Hint: The area of a circle is (pi) x (its radius)² .
Can you find the area of the big circle ... the one with radius = 18 m ?
Do that. The whole big circle, just as if there was nothing inside it, and
no shaded region.
I'll wait.
Now, can you find the area of the small circle ... the one with radius = 12 m ?
Do that.
I'll wait.
The area of the shaded region is just
(the area of the big circle) minus (the area of the small circle) !
I got 180 pi or roughly 565.2 m². I could be wrong. You should check it.