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almond37 [142]
2 years ago
6

Square ABCD and isosceles triangle EFG have the same perimeter. Work out the length of FG.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
3 0

Answer:

8

Step-by-step explanation:

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Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1
andreyandreev [35.5K]

The series converges to  1/(1-9x) for -1/9<x<1/9                  

Given the series is  ∑ 9x^{n} x^{n}

We have to find the values of x for which the series converges.

We know,                

∑ ar^{n-1}    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ (9x)^{n} is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

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8 0
1 year ago
Find me equation of the circle with Center at ( 3, - 2) and radius of 3
blondinia [14]

The equation of a circle with center (x_0,y_0) and radius r is

(x-x_0)^2+(y-y_0)^2=r^2

In your case,

x_0=3,\quad y_0=-2,\quad r=3

Plug these values into the generic formula and you'll get your equation.

5 0
3 years ago
A winter resort took a poll of its 400 visitors to see which winter activities people enjoyed. The results were as follows: 188
VARVARA [1.3K]
Exactly one activity:  246
None of the activities :  1
At least one activity:  74
Snowboarding and Ice skating but not skiing:  5
Snowboarding or ice skating but not skiing:  132.
Only skiing :  119.
The diagram is in the attachment. 
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6 0
2 years ago
Can you help me please ​
ikadub [295]
I think the second one but I’m not sure
7 0
3 years ago
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What is the general process for solving an equation with one variable?
elena55 [62]
Greetings!

"<span>What is the general process for solving an equation with one variable?"...

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:
</span>2x+4=64
<span>Add -4 to both sides to isolate the variable.
</span>(2x+4)+(-4)=(64)+(-4)<span>
Simplify.
</span>2x=60
Divide both sides by 2 to isolate the variable on one side.
(2x)/2=(60)/2
x=30

Hope this helps.
-Benjamin
5 0
3 years ago
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