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3 years ago

Line segment CD is shown on a coordinate grid:

2 answers:

7 0

Line segment CD is shown on a coordinate grid:

A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.

The line segment is rotated 90 degrees counterclockwise about the origin to form C'D'. Which statement describes C'D'?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The correct answer is: 
A) C'D' and CD are equal in length.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps

tekilochka [14]3 years ago

6 0

Answer A) is the correct option because the rest are wrong. :)

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Which of the following geometric series converges?

Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

$S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}$

Multiply both sides by r :

$rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n$

Subtract the latter sum from the first, which eliminates all but the first and last terms:

$S_n-rS_n=a-ar^n$

Solve for $S_n$ :

$(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}$

Then as gets arbitrarily large, the term $r^n$ will converge to 0, leaving us with

$S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}$

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0

3 years ago

A square has side lengths of 3/4 in. What is its area?

Leno4ka [110]

Hey there! :)

Answer:

A = 9/16 in².

Step-by-step explanation:

Use the formula A = s² to solve for the area where s = 3/4 in:

A = (3/4)²

A = 9/16 in².

7 0

3 years ago

Read 2 more answers

The probability that Josslyn is on time for a given class is 99 percent. If there are 32 classes during the semester, what is th

Gre4nikov [31]

Answer:

The best estimate is 32 out of 32 times, she will be early to class

Step-by-step explanation:

The probability of being early is 99% = 99/100 = 0.99

So out of 32 classes, the best estimate for the number of times she will be early to class will be;

0.99 * 32 = 31.68

To the nearest integer = 32

4 0

3 years ago

Eight less than a number is six more than twice the same number. I need the number.

mariarad [96]

The answer is -14

Explanation:

x - 8 = 2x + 6

We move all term to the left

x - 8 - ( 2x + 6 ) = 0

We get rid of parentheses

x - 2x - 6 - 8 = 0

We add all the numbers together, and all the variables

-1x - 14 = 0

We move all terms containing x to the left, all other term to the right

-x = 14
x = 14/-1
x = -14

6 0

3 years ago

F(x) = –22 + 10x - 6 Find f(-5)

Darina [25.2K]

Answer:

Step-by-step explanation:

-31

7 0

3 years ago

Read 2 more answers