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2 years ago

14

The two points shown below are reflected across the x-axis. Then, the four points are connected to form a rectangle. What is the

perimeter of this rectangle?
16 units
26 units
10 units
18 units

1 answer:

yan [13]2 years ago

7 0

I believe 26 units is the correct answer because you basically gotta multiply top from bottom

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I NEED HELP PLEASEE ASAP

tiny-mole [99]

Answer:

-5 and initial value is -1

Step-by-step explanation:

Slope= y2-y1/x-x1

-11-(-1)/2-0

-10/2

-5

Initial value is y-intercept where x is 0 (0,y)

so

(0,-1) is starting point

5 0

2 years ago

Dont really understand how to do this

bija089 [108]

Answers:

$t_{10} = -22 \ \text{ and } S_{10} = -85$

========================================================

Explanation:

$t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2$

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

$t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4$

and so on. This process may take a while to reach $t_{10}$

There's a shortcut. The nth term of any arithmetic sequence is

$t_n = t_1+d(n-1)$

We plug in $t_1 = 5 \text{ and } d = -3$ and simplify

$t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8$

Then we can plug in various positive whole numbers for n to find the corresponding $t_n$ value. For example, plug in n = 2

$t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2$

which matches with the second term we found earlier. And,

$tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}$

---------------------

The notation $S_{10}$ refers to the sum of the first ten terms $t_1, t_2, \ldots, t_9, t_{10}$

We could use either the long way or the shortcut above to find all $t_1$ through $t_{10}$ . Then add those values up. Or we can take this shortcut below.

$Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}$

The sum of the first ten terms is -85

-----------------------

As a check for $S_{10}$ , here are the first ten terms:

t1 = 5
t2 = 2
t3 = -1
t4 = -4
t5 = -7
t6 = -10
t7 = -13
t8 = -16
t9 = -19
t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that $S_{10} = -85$ is correct.

6 0

1 year ago

How many hours of sleep did you get last night? What fraction of the day is that? What is the decimal equivalent (use your calcu

rodikova [14]

Answer:

Step-by-step explanation:

how many hours of sleep did you get = 7 hours

What fraction of the day is that = 7/24

What it the decimal equivalent = 0.29 ( 2 decimal point)

What is the percentage = 1.68%

6 0

2 years ago

If the bug jumps 7 units and lands at 0, where could it have started?

fenix001 [56]

The answer is -7 jzzoksjsjs

8 0

2 years ago

Read 2 more answers

Slope intercept form for the line with y-intercepts -1 and slope -4

baherus [9]

The slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

We know:

Slope (m) is -4

y-intercept (b) is -1

All you need to do is plug these numbers into the slope intercept formula given above!

y = -4x - 1

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0

3 years ago

Read 2 more answers