The x intercepts will be symmetric about the vertex
The other x intercept = - 4 + (-4 - - 11) = - 4 + ( -4 + 11) = -4 + 7 = 3
Area = L * W
20 = L * W
And L = W + 8
So this implies that
20 = (W + 8) * W simplify
W^2 + 8W = 20
W^2 + 8W - 20 = 0 factor
(W - 2) ( W + 10) = 0
Only the first factor set to 0 gives us a positive result
W - 2 = 0
W = 2 cm
7 hours after 9:20AM = 4:20PM
40 minutes after this = 5 PM
5 minutes after this = 5:05 PM
2x^2 - 5x + k = 0
If this has one solution then the discriminant = 0
So
(-5)^2 - 4 (2) k = 0
25 - 8k = 0
25 = 8k
25/8 = k
J + F = 52 ( 1)
F = 5J - 2 ( 2)
Sub (2) into (1)
J + [ 5J - 2] = 52 simplify
6J - 2 = 52 add 2 to both sides
6J = 54 divide both sides by 6
J = 9 = Jack's age
F = 5(9) - 2 = 43 = Father's age
See heureka's answer, here :
https://web2.0calc.com/questions/help_89380
No prob....easy to make mistakes on here......!!!!
Outer diameter =
10 + 2 (8) + 2(6) =
10 + 16 + 12 =
38 ft
2x^2 - 10x + 13 = 0
2(x^2 - 5x + 25/4) + 13 - 50/4 = 0
2 ( x - 5/2)^2 + 2/4 = 0
2 ( x - 5/2)^2 = - 1/2 divide both sides by 2
(x - 5/2)^2 = -1/4 take both roots
x - 5/2 = ±1/2 i
x = 5/2 ±1/2 i
a * b = (5/2)(1/2) = 5/4
n = 29 = 3(8) + 5
