Answer:
We will add 64 to both sides.
x=8±√20
Step-by-step explanation:
Here we are given the equation:
Now we take half of the coefficient of x and add it to x.
Coefficient of x is 16, half of 16 is 8.
Also we add square of 8 to both sides.
So new equation becomes:
Completing the square:
NOw let us simplify it to get the value of x.
Taking square root on both sides:
Bringing 8 to the right side:
x=8±√20
Answer:
Sine is an odd function and presents positive values in the 1st and 2nd quadrants and negative values in the 3rd and 4th quadrants.
Step-by-step explanation:
-sin(x) = sin(-x)
This property is valid because the sine trigonometric function presents positive values in the first two quadrants and negative values in the third and fourth quadrants. The sine function is an odd function with symmetry with respect to the origin, which means that sin(x) and sin(-x) will always present opposite signs.
The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
d r t
there d 450 t
back d 400 1-t
Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.
Answer:
They changed 5m into a positive when it should've stayed as a negative until you isolate the variable m at the end, making m actually equal -7.
Step-by-step explanation:
-5m - 16 = 19
-5m = 19 + 16
-5m = 35
m = 35/-5
m = -7
