If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.
Answer:
2) y = x - 4
y = -x + 2
=> x - 4 = -x + 2
=> 2x = -6
=> x = -3
=> y = -3 - 4 = -7
3) y = 3x + 1
y = 5x - 3
=> 3x + 1 = 5x - 3
=> 2x = 4
=> x = 2
=> y = 3(2) + 1 = 7
4) 2x + y = 8 => y = -2x + 8
y = x - 7
=> -2x + 8 = x - 7
=> 3x = 15
=> x = 5
=> y = 5 - 7 = -2
Answer:
x = 20
Step-by-step explanation:
Since ΔACB ≅ ΔDCE then ∠A ≅ ∠D, that is
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
17.5
Step-by-step explanation:
soln:
given,
since, x and y are directly proportional
and x=140, y=35
dividing x by y we get,
x/y=140/35
or,x/y=4/1
or,x=4y
when x=70,
x=4y
or,70=4y
•°•y=17.5
