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3 years ago

Find the midpoint of the segment with the following endpoints. (6, 4)(9,9)

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

7.5, 6.5 also try searching midpoint formula with what u have it’s pretty basic math

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How do you use the limit comparison test on this particular series?<br>Calculus series tests

barxatty [35]

Compare $\dfrac1{\sqrt{n^2+1}}$ to $\dfrac1{\sqrt{n^2}}=\dfrac1n$ . Then in applying the LCT, we have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac1{\sqrt{n^2+1}}}{\frac1n}\right|=\lim_{n\to\infty}\frac n{\sqrt{n^2+1}}=1$

Because this limit is finite, both

$\displaystyle\sum_{n=1}^\infty\frac1{\sqrt{n^2+1}}$

and

$\displaystyle\sum_{n=1}^\infty\frac1n$

behave the same way. The second series diverges, so

$\displaystyle\sum_{n=0}^\infty\frac1{\sqrt{n^2+1}}=1+\sum_{n=1}^\infty\frac1n$

is divergent.

4 0

4 years ago

over the last evening, Karen received a total of 75 phone calls at the call center. The second evening, she received 3 times as

Marysya12 [62]

Answer: if you’re saying she received 75 calls the first evening then she would have received 10 more then that which is 85 on the third evening and 85x3 = 255 on the second evening.

So first evening 75
Second evening 255
Third evening 85

4 0

4 years ago

Find an equation for the line perpendicular to the line −4x+3y=−2having the same y-intercept as −7x−7y=6

SCORPION-xisa [38]

First we need to find slope of given line −4x+3y=−2

So convert it into slope intercept form y=mx+b

−4x+3y=−2

3y=4x−2

y=4/3x−2/3

Comparing above equation with y=mx+b gives m=4/3

Hence slope of given line is 4/3.

<em>We need slope of perpendicular line which is always "negative reciprocal of given slope"</em>.

Negative of 4/3 is -4/3.

taking reciprocal gives -3/4

Hence slope of required perpendicular line is m=-3/4

-------

Now we need to find y-intercept of −7x−7y=6

y-intercept is always the y-value when x=0 so let's plug x=0 into −7x−7y=6

−7(0)−7y=6

0−7y=6

−7y=6

y=-6/7

y-intercept is also called "b" in y=mx+b

hence b=-6/7

-----

Now we know that slope of perpendicular line is m=-3/4 and y-intercept b=-6/7

so plug both into formula y=mx+b

We get Final answer is $y=-\frac{3}{4}x-\frac{6}{7}$

6 0

3 years ago

Help me out , please I forgot how to do this mathematics

netineya [11]

Answer:

Step-by-step explanation:

sorry if I'm wrong-

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3 years ago

A principal of $2000 is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years? U

sergiy2304 [10]

The investment after 14 years will be worth $1,890

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4 years ago