Answer:
Step-by-step explanation:
3. slope of CB = rise/run = 5/12 BF = 5 CF = 12
BF ⊥ DF
DB (seg of two farthest points) = √BF²+DF² = √5²+32² = √1049 = 32.4
4. f(x) = 2x² - 5x -3 vertex : A (h,k) for f(x) = ax² + bx +c
h = - b/2a = - (-5 / 4) = 5/4
f = f(h) = 2*(5/4)² - 5*(5/4) - 3 =25/8 - 25/4 -3 = -49/8
A (5/4 , - 49/8) i.e. (1.25 , - 6.13)
negative root: 2x² - 5x -3 = (2x+1) (x- 3) x = - 1/2 y = 0
B (- 1/2 , 0)
x coordinate of AB: 1/2 (1.25 + -0.5) = 0.375
Answer:
i agree
Step-by-step explanation:
Answer:
Kevin is 6
Step-by-step explanation:
Let k represent Kevin's age now. Then Brendon's age now is (k-3). Two years ago the relationship of their ages was ...
k-2 = 4((k-3) -2)
k -2 = 4k -20 . . . . . eliminate parentheses, collect terms
3k = 18 . . . . . . . . . . add 20-k
k = 6 . . . . . . . . . . . . divide by 3
Kevin is 6 now.
34.50/6 = 5.75
44/8 = 5.5
52.5/10 = 5.25
As the number of tickets increase, the cost per ticket decreases.
So it does not make sense to use a constant rate.
Answer:
x=9
Step-by-step explanation:
subtract 22 from both sides, simplify 3x = 10x-63, subtract 10x from both sides of the equation, simplify -7x = -63, divide both sides of the equation by the same factor -7x/-7 = -63/-7, then simplify