Answer: how ever no negative number can really have a square root however it is possile to wokr with a more incluesive set of number so i belive no
Step-by-step explanation:
Here we go.
1) x/5 - 4h = 35
2) {(6-p)/3}+8
3) This is just 1.4k, since the distance you're trying to find is 1.4 times k feet.
You can include a diagram easily enough. Just draw a baseball diamond and two lines, one connecting first and third base and labeled 1.4k, while the other line, connecting home to third, is labeled k.
Hope that helped!
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).
The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65