Answer:
8
Step-by-step explanation:
Substitute the given values into the expression
xy²
= × 4 × (- 2)²
= 2 × 4
= 8
Answer:
It would take the balloon 2 seconds to hit the ground
Step-by-step explanation:
They give you the actual formula of the height of the ballon as a function of time in seconds, with all the initial conditions specified in the equation, therefore all you need to do is find the time that it takes for the balloon to reach a height of zero (0) feet, making h=0 and solving for t in a quadratic equation:
where we have factored out the trinomial as a product of two simple binomials. For such product to be zero, either t=2 seconds or t=-3 seconds. Since the time cannot be a negative number, the only viable solution we found is t=2 seconds.
(x,y)=(64/81, 70/81) I can provide a description if needed. I used the process of elimination.
#3 can and #4 cannot form a triangle.
Why? For a triangle to be formed, two shortest lengths of a triangle must be greater than the longest length, or else all three lengths cannot connect. It makes most sense when you visualize it.
For #3, 1/4 + 1/3 > 1/2
For #4, .01 + .02 < .205, therefore cannot form a triangle.