Answer:
x=18
Step-by-step explanation:
Triangles add up to 180°, so 140+22+x=180 and then you simplify which is 162+x=180, then you subtract 162 on both side, getting x=18
Answer:
28feet
Step-by-step explanation:
The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
Answer:

Step-by-step explanation:
The parabola's are


So



So, the points at which the parabola's intersect each other is
and 
The three points of the triangle are
,
and 
Area of a triangle is given by
![A=\dfrac{1}{2}[x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)]\\\Rightarrow A=\dfrac{1}{2}[2(5-0)+(-2)(0-5)+0(5-5)]\\\Rightarrow A=10\ \text{sq. units}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%20%2B%20x_2%28y_3-y_1%29%20%2B%20x_3%28y_1-y_2%29%5D%5C%5C%5CRightarrow%20A%3D%5Cdfrac%7B1%7D%7B2%7D%5B2%285-0%29%2B%28-2%29%280-5%29%2B0%285-5%29%5D%5C%5C%5CRightarrow%20A%3D10%5C%20%5Ctext%7Bsq.%20units%7D)
Area of the triangle formed is
.
Answer:

Step-by-step explanation:
Take two points from the graph
(0,24) and (6,12)
Find the slope
The formula to calculate the slope between two points is equal to

substitute

---> is negative because is a decreasing function
Find the equation of the line in slope intercept form

we have

Note: The y-intercept is given (0,24)
substitute

Answer:
C. 11.4
Step-by-step explanation:
I already answered this…