120 cause 12x10x1 equal ONE TWENTYYYY YEAHHAHAHAHAHAHAHHHHHAAHAHHHHH
Answer:
a=61°
Step-by-step explanation:
a= 180° - 90° - 29°
a = 61°
Answer: the answer is d
Step-by-step explanation:
Answer:
see explanations
Step-by-step explanation:
The given blue line has a slope of m = -1/2.
The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:
(y-y0)=m(x-x0)
substitute values
(y-3) = (-1/2)(x-2)
Expand and transpose
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4 ....................(1)
We choose the second equation b. x+2y=8 and convert to slope-intercept form:
2y=-x+8
y = (-1/2)x + 4, which is exactly equation (1)
So
b. x+2y=8 is the correct answer.
I suppose you mean

Recall that

which converges everywhere. Then by substitution,

which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives

(starting at
because the summand is 0 when
)
b. Naturally, the differentiated series represents

To see this, recalling the series for
, we know

Multiplying by
gives

and from here,


c. This series also converges everywhere. By the ratio test, the series converges if

The limit is 0, so any choice of
satisfies the convergence condition.