Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.
h² + 14h + (14/2)² = -31 + (14/2)²
Simplify the parenthesis and exponent.
h² + 14h + 7² = -31 + 7²
h² + 14h + 49 = -31 + 49
h² + 14h + 49 = 18
Factor the expression of the left.
(h + 7)(h + 7) = 18
Take the square root of both sides.
√(h + 7)(h + 7) = ± √9 • 2
(h + 7) = ± 3√2
h + 7 = ± 3√2
Subtract 7 from both sides.
You solutions are:
h = -7 + 3√2 → -2.7573 → -2.76
h = -7 - 3√2 → -11.2426 → -11.24
A differential equation is one that contains the derivative of a function. For example f(x) + 3 = 4f'(x) - 2. Usually you will be given one of the functions and initial conditions if you have to solve.
Answer:
No he is not correct. As the answer would be -2/5 = -0.4 and 5/-2 = -2.5 as the answer is also not opposite.
6/10 rounding to the nearest half would be 1, not 0.
Reason for this: Here is a number line to help you!
|----|----|
Left line = 0
Middle line = 1/2
Right line = 1
Here is another rule!
0/10, 1/10, 2/10, 3/10, 4/10 = rounded to the nearest half would be 0
5/10, 6/10, 7/10, 8/10, 9/10, 10/10 = rounded to the nearest half would be 1.
So 6/10 rounded to the nearest half is 1.
Hope this helped!
Plz mark brainliest!
