OK, so for this equation, your goal is to get the d, and ONLY the d, on one side of the equation. So, to start out, you need to multiply the entire equation, meaning both sides, by 8 because we are trying to get rid of those pesky fractions.
8(1/8(3d-2)=1/4(d+5))
The equation then turns into this because the 8 and 4 cancelled out with the 8.
1(3d-2)=2(d+5)
Now, we need to distribute the left over numbers into the parenthesis.
3d-2=2d+10
And finally, we need to get the d's on one side, and the numbers on the other, so we subtract 2d from both sides and add the 2 to both sides. They then cancel out to make
d=12
Hope it helps! :)
The reciprocal is 17/2 cause all you do is just flip the fraction
With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.
with this problem, find the slope by separating the same variable in each equations, like this:
2x + 7y = 6
-2x -2x
7y = -2x + 6
(the second equation is already separated) so now we have
7y = -2x + 6 and 7y = 2x + 6
since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!
Well the square root of 72 is 8.485 and the square root of 45 is 6.708. hope this helps :)