Step-by-step explanation:
x²+3x+4=0
x²+3x_ +2=0
x²+3x_2=-2
x²+3x_2+(3x_4)²=-2+(3/4)²
(x+3/4) =-2+9_16
x+3_4 = -32+9__16 =√-23_6
x+3_4 =-√23_4
x = -3+√-23___4
x = -3- √-23___4 , -3+√-23___4 //
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A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
f(x) = -2/3 - 2
Because it intercepts the y axis at -2 and the rise over run is -2 (going down two) and 3 (going right three)
Answer:
Step-by-step explanation:
area of sector = {Ф ( in degrees)/360}πr²
Ф = 60
π=3.14
r=10
area = (60/360) x 3.14 x 10²
= (1/6)x3.14 x100 = (1/6)x314= 314/6 = 52.33
25 that how much she will need
