It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b
Then as we know it passes the y axis at (0,-3) so b= -3
So we have y=5x-3
Ok so, y = mx + c is the equation of a line
When a graph is written in this form, m is the slope/gradient and c is the y - intercept.
This form is needed when a question asks for the equation.
Lets say they give 2 sets of coordinates, we can use the point slope formula to find the slope (m)
point slope formula:
(y₂ - y₁) = m(x₂ - x₁)
Then we substitute any of the two set of coordinates to find c, the y - intercept.
So the line has a gradient of m and y - intercept of c
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
Answer:
x=1/2k
Solution:
4kx+10kx= 7
14kx=7
Divide 14k from both sides.
x=7/14k
x=0.5k
2a = 4.5 |divide both sides by 2
a = 2.25
