Answer:
x= 4.3125
Step-by-step explanation:
2^2 = 16x - 65
4= 16x- 65
+65 +65
69 = 16x
69/16 =16x/16
4.3125 = x
x + y= 9 and x - y= 3
rearrange the second equation:
x - y= 3
x = 3 + y
x -3 = y
substitute y with "x-3" in the first equation and solve
x + y= 9
x + (x-3)= 9
2x -3 = 9
2x = 12
x = 6
you could also start with the first equation and substitute y in the second.
graphically speaking, it's the intersection point of to lines, at least the six-part of the point.
The original volume equation looks like this: V = 1/3 * h * (x^2)
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h
* (x-0.002) ^ 2
Then we have:
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2
= 1/3 * h *(x^2 - (x – 0.002) ^2)
= 1/3 * h * (0.004x - 0.00004)
The rate of decreasing is computed by:
(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] *
100% this would be equal to (0.004x - 0.00004) / (x^2) * 100%
So replace x by 200, you’ll get:
(0.004(200) - 0.00004) / (200^2) * 100%
= 0.001999% is the rate of decreasing.
Answer:
40 units
Step-by-step explanation:
On the number line, the distance between x and y is given by
|x-y|.
To find the distance between -70 and -30 on the number line, we find the absolute value of their difference.
Therefore the distance between -70 and -30 on the number line is 40 units.
Answer:
the answer is independent
