Subtract The x’s and the y’s. 3-3=0, 4-1=3. Thus, the length of this side is 3 units
2/5 + 1/2 = 9/10
2/5 x 2/2 = 4/10
1/2 x 5/5 = 5/10
4/10 + 5/10 = 9/10
9/10 of the ice cream cones sold were either chocolate or vanilla.
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)
Answer:
6
Step-by-step explanation:
(g o f)(3) = g(f(3))
We can find f(3) using its formula with x=3:
f(3) = -2·3 +8 = -6 +8 = 2
Now, we can find g(2) using its formula with x=2:
g(2) = 3·2 = 6
So, the composition value is ...
(g o f)(3) = 6