The answers are x=4 and y=323/2
1) 40/2x-3=8
Multiply both sides by 2x-3 to get rid of fraction
40= 8(2x-3)
Distribute 8
40= 16x-24
Add 24 to both sides
64=16x
Divide by 16
4=x
2) 2y-3/40=8
Multiply both sides by 40 to red rod of fraction
2y-3=320
Add 3 to both sides
2y= 323
Divide by 2
Y=323/2
Now just describe the differences in solving them
FYI / means fraction, right after the slash is bottom of fraction
Answer:
2.04 miles per hour
Step-by-step explanation:
Given
Noel
Casey
Required
The rate at which the distance increases
Their movement forms a right triangle and the distance between them is the hypotenuse.
At and
The distance between them is:
After 1 hour, their new position is:
New = Old + Rate * Time
And:
So, the distance between them is now:
The rate of change is:
2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
Angle A: 60 degrees
Angle B: 30 degrees
Angle C: 90 degrees
The volume will decrease.
If everything else remains the same then it will decrease. If other sides were increased proportionally then it would stay the same. It would increase if other sides were enlarged more than the length was shortened.
