9514 1404 393
Answer:
5x +y = 16
Step-by-step explanation:
Given a point and slope, it often works well to start with the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Your point and slope make this ...
y -6 = -5(x -2)
y -6 = -5x +10 . . . . . . eliminate parentheses
5x +y = 16 . . . . . . . . . add 5x+6 to both sides; your standard form equation
Answer:
129.996 cubic feet
Step-by-step explanation:
Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

First, we have to find the radius, which is:
D = 2r
So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

Now, we solve. Exponents are first...
3.14(9)(4.6)
Now multiply left to right.
28.26(4.6)
129.996 cubic feet
Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!
Fine the area of the circle:
Area of a circle = pi x r ^2
Area of the circle = 3.14 x 4^2 = 50.24 square cm
Find the area of the triangle:
Area of triangle = 1/2 x base x height
Area =1/2 x 8 x 4 = 16 square cm
Find the area of the white part by subtracting the area of the triangle from the circle:
50.24 - 16 = 34.24 square cm.
The probability of landing in white is the area of white/ area of circle:
34.24/50.24 = 0.682
Multiply by 100 to get percent:
0.682 x 100 = 68.2%
Answer:
f(x) = -3/7x - 6
Step-by-step explanation: