The expanded form of 373,698 would be 300,000 + 70,000 + 3,000 + 600 + 90 + 8
Step-by-step explanation:
The height of the swipe card is given by :
.....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,

It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
Answer:
1.supplementary angles adjacent angles
2.complementary angles adjacent angles
3.vertical angles
4.complementary angles adjacent angles
Step-by-step explanation:
Answer:
x + 4 - 3√2 and x + 4 + 3√2
Step-by-step explanation:
When other methods seem to difficult to apply, try using the quadratic formula:
Here a = 1/2, b = 4 and c = -1.
Then the "discriminant" is b^2 - 4ac, or
(4)^2 - 4(1/2)(-1), or 16 + 2 = 18
Then the roots are:
-4 ± √18, or -4 ± 3√2
and thus the factors are x + 4 - 3√2 and x + 4 + 3√2
x = ---------------------