Answer:
-2
Step-by-step explanation:
- Get the equation in the form y = ax2 + bx + c.
- Calculate -b / 2a. This is the x-coordinate of the vertex.
- To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
X = 30
You have to do 36 squared take away 16 squared and then square root it. You take away because you aren’t finding the hypotenuse ( the line opposite the right angle) but if you where finding hypotenuse you would add instead.
Answer:
(a) 1.6 s
(b) 36 m/s
Step-by-step explanation:
Take down to be positive.
Given:
Δy = 45 m
v₀ = 20 m/s
a = 10 m/s²
(a) Find t.
Δy = v₀ t + ½ at²
45 m = (20 m/s) t + ½ (10 m/s²) t²
45 = 20t + 5t²
9 = 4t + t²
13 = t² + 4t + 4
13 = (t + 2)²
t = -2 ± √13
t ≈ 1.6 s
(b) Find v.
v² = v₀² + 2aΔy
v² = (20 m/s)² + 2 (10 m/s²) (45 m)
v = 10√13
v ≈ 36 m/s
Answer:
132ft
Step-by-step explanation:
Mathius Distance = 3/8 mile
Eva Distance = 2/5 mile
1 mile = 5,280ft
1. Start by multiplying the mile distance of Mathius to the distance of 1 mile in feet.
5,280ft x 3/8 = 15840ft/8 = 1980ft
2. Do the same thing as number 1 but for Eva's distance now.
5,280ft x 2/5 = 10560ft/5 = 2112ft
3. Subtract Eva's Distance from Mathius' Distance for the answer.
2112ft (Eva) - 1980ft (Mathius) = <em>132ft</em>
We can solve using y = 0 and solving for x.
81x + 18(0) = 9
81x = 9
x = 1/9
Therefore, the point (1/9, 0) sastisfies the equation.
Best of Luck!
