The ball will hit the ground when h(t)=0 so:
-16t^2+10t+100=0
Using the quadratic equation:
t=(-10±√6500)/-32, and since t>0
t≈2.8 seconds (to nearest tenth of a second)
Answer:
177.3 feet
This is a classic find the vertex of a parabola question.
if this was a calculus class the solution would be to take the derivative and set it equal to zero... -32t+ 105 = 0
BUT i assume that you are not in a calculus class..
so we try plan "B" the highest (or lowest) point of parabola is it's vertex
the vertex formula is [-b/2a,f(-b/2a)]
in your problem a = -16, b=105, c= 5
so the "X" (TIME) is located at -(105)/(2*-16) = 3.28
plug in 3.28 into -16(3.28)^2 + 105(3.28) + 5 = 177.27
and you will get
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (1 point) A = {(2, 7), (1, −5), (7, 2), (2, −9)} B = {(5, 3), (−2, −9)
Neporo4naja [7]
Answer:
its B
Step-by-step explanation:
i was taught to do functions by lining up the xs on one side and the ys on the other(if they repeat only put the number once) then draw lines to the pairs. no x value can have two y values.
Answer:
x=4
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
