Answer:
a. 15 meters.
b. 20 meters.
Step-by-step explanation:
a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.
The ball will be 15 meters high.
b. The maximum height reached by the ball.
To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.
In this case, a = -5 and b = 20.
-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.
Then, we find the y-coordinate by putting 2 where it says "t".
h(2) = 20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.
Hope this helps!
Answer:
top right corner
Step-by-step explanation:
1) the green line
- straight line
- shaded region is below the line
thus, y ≤ 3
2) the blue line
- straight line
- shaded region is below the line
thus, y ≤ x-2
3) the red line
- dotted line
- shaded region is above the line
thus, y > -x+5
4) the x-axis
- straight line
- shaded region is above the line
thus, y ≥ 0
Probably the last one
Use the equation for the area of a triangle 1/2(bxh)
Then multiply that number by 2 to get the area of the complete shape.
Answer:
-8,-9,-10,-11,-12,-13
Step-by-step explanation:
