Answer:
14 squared
Step-by-step explanation:
In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is
2√5 units.
Attached below is the calculation to arrive at the answer as well as a graph.
The equation of a line is given by y = mx + c; where m is the slope.
The given equation is 9 - x = 2y
y = -1/2 x + 9/2
Therefore, the slope is -1/2 and the y-intercept is 9/2.
Answer:
V = 301 ft^3
Step-by-step explanation:
The volume of a cone is given by
V =1/3 pi r^2 h
We know pi = 3.14 r =6 and
We need to determine h
We can find h from the Pythagorean theorem where 6 is a leg and 10 is the hypotenuse
h^2 +6^2 = 10^2
h^2 +36 = 100
h^2 = 64
Taking the square root of each side
h = 8
V =1/3 pi r^2 h
V = 1/3 (3.14) (6)^2 * 8
V = 301.44 ft^3
Rounding to the nearest cubic foot
V = 301 ft^3
