Answer:
To solve for the volume of a sphere, you must first know the equation for the volume of a sphere.
V=43(π)(r3)
In this equation, r is equal to the radius. We can plug the given radius from the question into the equation for r.
V=43(π)(123)
Now we simply solve for V.
V=43(π)(1728)
V=(π)(2304)=2304π
Answer is 2304
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Answer:
(a) The table of the ordered pairs is given as:
x-values 1 2 3 4 5 6
y-values 3 6 9 12 15 18
(b)
We find the equation from the table using the slope intercept form.
Let y=mx+c
on using the first column i.e x=1 and y=3 we have equation as:
3=m+c-------(1)
on using the second column i.e. x=2 and y=6
we have 6=2m+c---------(2)
on subtracting equation (1) from equation (2) we get:
m=3
and finally on putting value of m in equation (1) we get c=0
Hence, the equation of the line is y=3x.
This equation holds for all the points.
(c)
<em>x is the independent variable</em> and <em>y is the dependent variable </em>since it depends on the value of 'x'. it is thrice the value of x at each point.
