Answer: -7, 12
Step-by-step explanation:
a+b = 5
a*b = -84
a = 5-b
(5-b)*b = -84
-b^2 + 5b + 84 = 0
(-b - 7)(b + 12) = 0
The roots are -7 and 12.
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Answer: y coordinate is 6
Step-by-step explanation:
6=1/2(3)(h)
If you solve for H then
h=4
So, add 4 to the line y=2
y=2+4
2+4= 6
Hence, the possible y coordinate of point C is 6
Hope this helped!
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The value of x equals 30.
Step by Step explanation:
All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!
If you are looking for the sum of X then the answer is X=8
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
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At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
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I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.