Answer:
(2,2) and (3,1)
Step-by-step explanation:
Since we're given the value of y in the second equation, we can replace the y on the left side of the first equation with 4-x, giving us

We can factor the expression on the right to get us

Solving
and
gets us the solutions
, which we can plug into the second equation to get us

So, our solution set is the pair of points (2,2) and (3,1)
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!
I suppose you want to find the Volume of this Figure.
you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30
you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620
then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916
Therefore the Figure takes up 2916 cm^3 of space.
-129 is the anwser to ur problem