Answer:
y to 0.78y is a decrease
Step-by-step explanation:
y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.
Answer:
y= x-4
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.
We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in
y-1=1(x-5)
Solve for y by isolating it
Distribute the 1
y-1=1*x+ 1*-5
y-1=x-5
Add 1 to both sides
y=x-4
Answer:
r <= 12.6
Step-by-step explanation:
Let's calculate the rate at which he descends:
r = (46.7 - 15.2)/212 = 0.15 feet/minute
Answer:
Step-by-step explanation:
7*(7 + x+1) = 6*(x + 5 + 6) {Intersecting secant theorem}
7 *(x + 8) = 6*(x + 11)
Distributive property,
7x + 56 = 6x + 66
Subtract 56 from both sides
7x = 6x + 66 - 56
7x = 6x + 10
Subtract 6x from both sides
7x - 6x = 10
x = 10
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 


where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere =
x
x 
=
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.