Answer:
Step-by-step explanation:
First, the acceleration of gravity is -9.8m/s^2. This still works out since the formula uses 1/2 of it.
Hopefully you see where the other parts come from. Anyway, standard form of a quadratic is ax^2+bx+c=0. So this is almost there. You just need to subtract that 2.1 from both sides.
-4.9t^2+7.5t+-.3=0
Now with this, since it has taken into account the height that the ball was caught with that 2.1, you just need to find the 0s, which is what the quadratic equation does.
The quadratic equation is (-b±sqrt(b^2-4ac))/(2a) and we have a = -4.9, b = 7.5 and c = -.3. Remember you want to keep the signs. Now we just plug in.
(-b±sqrt(b^2-4ac))/(2a)
(-7.5±sqrt((-7.5)^2-4*-4.9*-.3))/(2*-4.9)
(-7.5±sqrt(56.25-5.88))/(.9.8)
(-7.5±sqrt(50.37))/(-9.8)
(-7.5±7.097)/(-9.8)
The plus or minus means there are two equations.
(-7.5+7.097)/(-9.8) and (-7.5-7.097)/(-9.8) So we will solve for both of these.
.04112 and 1.4895. That means these two times are when the ball is at 2.1 meters. One time on the way up and one time on the way down. We can safely assume that the other player catches the ball on the way down, so we want to use the second time, so 1.4895 seconds.
if x = 3
3 > -1, and so you use the x² formula.
Plug in 3 for x
x² = (3)²
Simplify
3² = 3 x 3 = 9
9, or (A), is your answer
hope this helps
Answer:
C
Step-by-step explanation:
y = 2x + 5
the slope (m) of this line is 2 (which can be written as 2/1)
The slope of a perpendicular line is -1/m (the reciprocal of the slope with the opposite sign)
so m = 2/1 => -1/m = - 1/2 = the slope of a line perpendicular to y = 2x + 5
Answer:
x=0
Step-by-step explanation:
move all terms to the left. Then add all the numbers together. Then multiply parenthesis to get rid of them finally add all numbers together
Answer:
Step-by-step explanation:
Triangle:
Base = 4 units
Height = 3 units {perpendicular height}
= 6 square units
Rectangle:
To find the area count the number of squares. Number of square = 6
Area = 6 square units
or You can find the area of the rectangle as bellow also
Length = 3 units
Width = 2 units
Area = length*width
= 3*2
= 6 square units
Both the triangle and rectangles has the same area 6 square units
