Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0

The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula


---> the time cannot be a negative number

therefore
The ball will take 4.05 seconds to hit the ground.
Answer:
36.87°
Step-by-step explanation:
With reference angle C
perpendicular (p) = 27
base(b) = 36
Now
Tan C = p/b
Tan C = 27/36
C = tan ^-1( 27/36)
= 36.87°
Hope it helps
:)
(3x^2+9x-6) - (2x^3-4x^2+6x-4)
Short Answer
2x^3+7x^2+3x-2
Step by Step
1.)2x^3 doesn’t subtract from anything because there are no other trinomials
2.)3x^2 - (-)4x^2 = 7x^2 because a double negative cancels out and you end up adding them
3.)9x-6x=3x
4.)-6 - (-)4 = -2 because double negatives cancel out into addition
Answer:
As we know:
Direct variation => y = k*x, k is constant ( y/x = k = constant)
Inverse variation => y = k/x, k is constant (y*x = k = constant)
X - 1 2 5 10
Y - 6 12 30 60
Check the first 2 pair of X, Y:
(the remaining pair of value would show the same tendency)
X1 x Y1 = 1 x 6 = 6
X2 x Y2 = 2 x 12 = 24
=> X x Y is not a constant
=> Not an inverse variation.
=> B and D is incorrect
Otherwise, we have:
Y1/X1 = 6/1 = 6
Y2/X2 = 12/2 = 6
=> Y/X = 6
=> A direct variation with k = 6
=> y = 6x
=> Option C is correct
Hope this helps!
:)
Hi there! Putting this equation into a slope-intercept basically means solving for y. Move everything besides the constant of y and y to the other side giving you 2y=-4x+4. Divide both sides by 2 to give you y alone. This gives you y=-2x+2
Hope this helped!