Answer:
25/4 will have to be added to "complete the square"
Step-by-step explanation:
x² - 5x - 18 = 0
x² - 5x = 18
Find the half of the coefficient of x and square it
(5/2)² = 25/4
Add 25/4 to both sides to complete the square
x² - 5x + 25/4 = 18 + 25/4
x² - 5x + 25/4 = 18(4/4) + 25/4
x² - 5x + 25/4 = 72/4 + 25/4
x² - 5x + 25/4 = (72+25)/4
x² - 5x + 25/4 = 97/4
(x - 5/2)² = 97/4
Find the square root of both sides
√(x - 5/2)² = ±√97/4
x - 5/2 = √97/2
x = √97/2 + 5/2 or x = -√97/2 + 5/2
x = 7.42443 or -2.42443
Answer:
Step-by-step explanation:
if t varies inversely proportional as r, then,
t ∞ 1/r
t = k.1/r
t = k/r
substitute t =6 and r = 5 into the equation above
6 = k/5
k = 5 x 6 = 30
the equation that represents this variation is given by,
t =30/r
tr = 30
when r =15,
t = 30/15
t =2
It’s already in slope intercept form
32.6 cups is left because we will subtract 34 to 1 1/3
F
Triangle equals 180
42+42=84
What is 180-84
That would be the next angle
