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2 years ago

Use the picture QRS = __ By _

Mathematics

1 answer:

Xelga [282]2 years ago

3 0

Answer:

TWX by AAS

Step-by-step explanation:

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Find the sum of the series Summation from n equals 1 to infinity (StartFraction 3 Over StartRoot n plus 2 EndRoot EndFraction mi

Marizza181 [45]

Looks like the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}$

The series telescopes; consider the $k$ th partial sum of the series,

$S_k=\displaystyle\sum_{n=1}^k\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}$

$S_k=\displaystyle\left(\frac3{\sqrt3}-\frac32\right)+\left(\frac32-\frac3{\sqrt5}\right)+\cdots+\left(\frac3{\sqrt{k+1}}-\frac3{\sqrt{k+2}}\right)+\left(\frac3{\sqrt{k+2}}-\frac3{\sqrt{k+3}}\right)$

$\implies S_k=\dfrac3{\sqrt3}-\dfrac3{\sqrt{k+3}}$

As $k\to\infty$ , the second term converges to 0, leaving us with

$\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}=\frac3{\sqrt3}=\boxed{\sqrt3}}$

7 0

2 years ago

Find the slope and the y-intercept of the line. 7x-2y = -10 simplest form

____ [38]

Answer:

7/2 is the slope and 5 is the y-intercept

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

7x-2y=-10

subtract 7x on both sides

-2y=-7x-10

divide by -2 on both sides

y=(7/2)x+5

7/2 is the slope and 5 is the y-intercept.

3 0

2 years ago

Read 2 more answers

Do you multiply area or add it

pogonyaev

It's the formula. Base times height.
For example: if 50 is the base and 10 is the height, just multiply them both.
50 x 10 = 500. And I don't think you add area-that's for finding the perimeter

5 0

3 years ago

In triangle ABC, the measure of angle A is 90 ° . Angle B is congruent to angle C. What is the measure of angle B in degrees?

densk [106]

Answer: 45 degrees

Step-by-step explanation:

3 0

2 years ago

What are the solutions of the inequality? Graph the solutions. x/5 > -2

amm1812

X/5 > -2

Multiply 5 on both sides:
x > -10

Draw a graph and draw a line for x > -10
(Look at the attachment below - where the green line is shown make it dotted)

Hope it helped :)

7 0

3 years ago

Use the picture QRS = ____ By ___

Use the picture QRS = __ By _