we have different side lengths and thus different angles anyhow, meaning is an Scalene triangle.
Just multiply 4*12 and add 6.
answer =54
To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
Hope I helped :)
This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.
so what's the x-value halfway between -3 and 7? yeap, you guessed it, 2.
so the axis of symmetry for this vertical parabola will be at x = 2.
<span>a) define the variables
The variables are x and y ; x can represent the number of times Aleah goes swimming ; while y can represents the number of times Aleah goes skating.
b) are there any restrictions on the variables?
The total sum of both activities must be equal or less than $80 a month
c) write a linear inequality to represent this situation
</span><span>Swimming costs $5 each time and skating costs $4 each time. No more than $80 a month.
5x + 4y <u><</u> 80
You can graph linear inequality using these coordinates.
x y
16 0
12 5
8 10
4 15
0 20</span>