Answer:
400 gumballs are in the gumball machine
Step-by-step explanation:
75% = 300 gumballs
Find 1%:
1% = 300 ÷ 75 = 4 gumballs
Find 100%:
100% = 4 x 100 = 400 gumballs.
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Step-by-step explanation:
directrix = (1, -1)
focus = (-3, 2)
vertex = (-3, 3)
1) start with (x-h)^2 + (y-k)^2 = r^2. Insert the given info: center at (-1,8) and radius 5:
(x+1)^2 + (y-8)^2 = 5^2 (answer)
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
