Answer: (-1/5, 2/5)
Step-by-step explanation:
See the photo for explanation and work.
1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) = 2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) = a^2b sqrt(10a)
8. sqrt(20x^3y^10 = 2xy^5 sqrt(5x)
Distance = 30 mph * time
distance = 4 mph * time
distance = 30 mph * t
distance = 4 mph * (17-t)
Since distance is equal then
30 mph * t = 4 mph * (17-t)
30t = -4t + 68
34t = 68
t = 2 hours
We see the return trip time is (17 -t ) which is 15 hours.
The beginning trip time is 2 hours.
Double Check
Beginning trip = 30 miles * 2 = 60 miles
Return trip = 4 miles * 15 = 60 miles.
Answer:
100.062
Step-by-step explanation:
100 + 62/1000 = 100 + 0.062 = 100.062
Answer:
- 102 + (3x +2) = 180 . . . . equation to solve
- x = 25 1/3 . . . . . . . . . . . . value of x
Step-by-step explanation:
It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.
Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.
102 + (3x +2) = 180 . . . equation used to solve for x
3x = 76 . . . . . . . . . . . . . subtract 104
x = 76/3 . . . . . . . . . . . . divide by 3
x = 25 1/3 . . . the value of x