Answer:
(6,1)
Step-by-step explanation:
midpoint = ((x2+x1),(y2+y1)/2)
= (6+6)/2, (-5+7)/2
= 12/2, 2/2
= 6,1
Answer:
(7, -6)
Step-by-step explanation:
You want to find point X on the segment from A to B such that ...
(X -A)/(B -X) = 3/2
2(X -A) = 3(B -X) . . . . . . cross multiply
2X -2A = 3B -3X . . . . . eliminate parentheses
5X = 2A +3B . . . . . . . . add 3X +2A
X = (2A +3B)/5 . . . . . . . divide by 5
Filling in the given points for A and B, we have ...
X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5
X = (7, -6)
The point that divides the segment in the proportions 3:2 is (7, -6).
Answer:
4+3x
It's pretty straight forward, you have the number 4 that is added to the rest of the expression because sum is addition, and the product of 2 numbers is multiplication so it would make 3(x) or 3x, which results in 4+3x.
Answer:
(2x+1)(x+3)
Step-by-step explanation:
Not much explaining for that...
5) The relation between intensity and current appears linear for intensity of 300 or more (current = intensity/10). For intensity of 150, current is less than that linear relation would predict. This seems to support the notion that current will go to zero for zero intensity. Current might even be negative for zero intensity since the line through the points (300, 30) and (150, 10) will have a negative intercept (-10) when current is zero.
Usually, we expect no output from a power-translating device when there is no input, so we expect current = 0 when intensity = 0.
6) We have no reason to believe the linear relation will not continue to hold for values of intensity near those already shown. We expect the current to be 100 for in intensity of 1000.
8) Apparently, times were only measured for 1, 3, 6, 8, and 12 laps. The author of the graph did not want to extrapolate beyond the data collected--a reasonable choice.
