from question d = 16t^2 = 56-4t
=》 16t^2 -56 + 4t =0
=》 4t^2 - 14 + t = 0
=》 (4t-7)(t+2) =0
=》 t = 1.75 seconds
The answer is (5,4). X being the run (5), and Y being the rise (4).
Answer:
The slope is -2
Step-by-step explanation:
To find the slope we do y2 - y1 / x2 - x1 or in this case, -6 - 2 / 9 - 5
Next, u solve -6 - 2 = -8 and 9 - 5 = 4
So we get -8/4 or simplified -2/1 or -2
The slope is -2
Hope that helps u! :)
Answer:
y =
x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - 2y = - 6 into this form
Subtract 3x from both sides
- 2y = - 3x - 6 ( divide all terms by - 2 )
y =
x + 3 ← in slope- intercept form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← partial equation of parallel line
To find c substitute (4, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y =
x - 4 ← equation of parallel line
Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1
Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2
Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3