Answer:
Area of a circle = 615.44 cm²
Step-by-step explanation:
Formula of Area of a circle = πr²
A = 3.14 × 14 × 14 = 615.44 cm²
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For a quadratic of the form
, we complete the square by first adding
to each side.
Here, the coefficient b is equal to 10. We take half of this—5—and square it to get 25. We add this to both sides of the equation.
FYI, this equation can easily be factored, so there's no need to complete the square.
2x - 3y = 18
First, you want to isolate y.
You do this by firstly subtracting 2x from both sides.
-3y = 18 - 2x
Then you divide both sides by -3.
y = (18 - 2x)/3
You now have your function. With this you can plug in x variables to find points. I’m going to use the variables: 0, 8, -2, and 1
If x = 0 : (18 - 2 * 0)/3 = (18 - 0)/3 = 18/3 = 6
First point: (0, 6)
If x = 8 : (18 - 2 * 8)/3 = (18 - 16)/3 = 3/3 = 1
Second point: (8, 1)
If x = -2 : (18 - 2 * -2)/3 = (18 + 4)/3 = 22/3
Third point: ( -2, 22/3)
Note: to make that easier to plot, change the fraction into a mixed number- so it would be 7 and 1/3
If x = 1 : (18 - 2 * 1)/3 = (18 - 2)/3 = 16/3
Fourth point: (1, 16/3)
Note: the mixed number would be 5 and 1/3
You can choose whatever x variables you want. I just choose some that would result in a whole number or a number that wouldn’t be too large - which can make it difficult to plot sometimes. For the future, some good go-to x variables are just -1, 0, 1, and 2. Just cause they’re easy numbers.
