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3 years ago

The lines below are perpendicular if the slope of the green line is 2/3 what is the slope do the red line

1 answer:

4 0

Hey there!

When we know the slope of the line and we want a perpendicular line, we follow a specific rule.

We use the <em>opposite of the reciprocal</em> of the slope given.

Therefore, slope of 3 would give -1/3, slope of 1/2 would be -2, and so on.

Therefore, if we were to have a slope of 2/3, we take the opposite of the reciprocal to get -3/2.

I don't think your answer is here. If the lines are perpendicular, that has to be the answer; but do let me know if I made a mistake and I'd be glad to talk to you about this problem :)

Hope this helps!

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

$x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}$

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

$2=\frac{1+x_{2} }{2}\\ 4=1+x_{2}\\ 4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7$

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

$5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0$

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0

3 years ago

A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxi

Setler79 [48]

Answer:

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.7787.

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.

The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

6 0

3 years ago

The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (s

Marysya12 [62]

9514 1404 393

Answer:

length: 29 ft
width: 20 ft

Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29

The last pair of factors differs by 9, so ...

the length is 29 feet; the width is 20 feet.

8 0

3 years ago

The following set is bimodal. PLZ ANSWER ASAP

polet [3.4K]

Im srry but in my calculations thinking this following statement might be true thats what i say so my answer is(true)
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8 0

3 years ago

Read 2 more answers

How many ways can you make change for .55 cents using only nickels, dimes and quarters

lora16 [44]

Answer:

A few ways are:

2 quarters and a nickel

5 dimes and a nickel

1 quarter and 3 dimes

11 nickels

6 0

3 years ago