Answer:
(b) Radius of the sphere = 5 units.
Step-by-step explanation:
Here, given:
The volume of the sphere = 
cubic units ... (1)
Also, radius of the sphere = x units
Now, VOLUME OF SPHERE = 
So, volume of a sphere with radius x = 
But volume of sphere is given by (1).
Hence, radius of the sphere = 5 units.
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Answer:
B. (1/2, 3)
Step-by-step explanation:
It is perhaps easiest to try the point values in the equations.
A — 4·2+1 = 9; -2·2 +4 ≠9 . . . . not the answer
B — 4·1/2 +1 = 3; -2·(1/2) +4 = 3 . . . . this is the answer
we need go no further since we have the answer
Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
