Answer:
Step-by-step explanation:
<u>Standard for of quadratic equation:</u>
<u>We have </u>
<u>Sum of the roots </u>
- x₁ + x₂ = - b/a = -(-5)/2 = 2.5
<u>Product of the roots </u>
<u>We have:</u>
<u>The square of the above is:</u>
- (x₁ - x₂)² = (x₁ + x₂)² - 4x₁x₂
<u>Substitute known values and solve for c:</u>
- 0.25² = (2.5)² - 4(c/2)
- 2c = 6.25 - 0.0625
- 2c = 6.1875
- c = 3.09375
Answer:
its 35.
Step-by-step explanation:
The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Answer:
x = 10
Step-by-step explanation:
Since the two triangles are congruent, ∠B ≅ ∠E
50 = 5x
x = 10
