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Darina [25.2K]
3 years ago
11

draw three collinear points where E is between D and F. then write an equation using these points and the segment addition postu

late.

Mathematics
2 answers:
icang [17]3 years ago
5 0

Answer:

There are three collinear points , D, E and F.The meaning of collinear poits is that these three points lie on a straight line.

→E is between D and F.

The equation using Segment Addition Postulate is:

   DE + EF=DF

borishaifa [10]3 years ago
3 0

An equation using these points and the segment addition postulate would be DE + EF = DF. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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When the function f(x) = 5•2x is evaluated for x = 3, the output is:
In-s [12.5K]
The answer is 30

2 x 3 = 6
5 x 6 = 30
3 0
2 years ago
77 is 22.3% of what number
Elza [17]

Answer:

345.29

Step-by-step explanation:

77 divided by .223 = 345.2914798

6 0
4 years ago
If T: (x, y) → (x - 3, y + 2), then T -1: (x,y) → _____.
tatyana61 [14]

Answer:

(x + 3, y - 2)

Step-by-step explanation:

we know that

The rule of the transformation T is equal to

T: pre-image → image

T: (x, y) → (x',y')

T: (x, y) → (x - 3, y + 2)

so

x'=x-3 ----> x=x'+3

y'=y+2 ----> y=y'-2

The rule of the inverse of transformation T -1 is equal to

T-1: image → pre-image

T-1: (x', y') → (x,y)

T-1: (x', y') → (x'+3, y'-2)

6 0
3 years ago
Find the equation of the midline of the function y = 2 sin(1∕4x) – 3.
Aneli [31]
<h3>Answer:  A) y = -3</h3>

Explanation:

The general sine equation is

y = A*sin(B(x-C)) + D

where the D variable directly determines the midline. In this case, D = -3, so that corresponds to a midline of y = -3

The sine curve oscillates going up and down, passing through this middle horizontal line infinitely many times. See the graph below.

5 0
3 years ago
Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and
Valentin [98]

So we have a set of integers,

X=\{15,20,25,25,27,28,30,34\}

And we need to compute some stats.

First the range,

The range of data set is difference between the maximum and the minimum of the data set.

So the minimum is 15 and maximum is 34 therefore the range is 34 - 15 = 19.

Second the interquartile range,

The interquartile range of data set is the difference of the first and third quartiles.

First quartile is the value separating the lower quarter and higher three - quarters of the set. The first quartile is computed by taking median of the lower half of the sorted set. This is 15, 20, 25, 25 and it's median is 22.5

Third quartile is therefore the median of 27, 28, 30, 34 which is 29.

Next up, variance.

The variance of set measures how much data is spread out. For data set x_1,\dots, x_n with an average a,

\mathsf{var}(X)=\Sigma_{i=1}^{n}\dfrac{(x_i-a)^2}{n-1}

So first compute the average value which is actually a mean,

a=\dfrac{1}{2}\Sigma_{i=1}^{n}a_i

The sum \Sigma_{i=1}^{n}a_i of numbers in set is 204.

Divide this by number of elements in the set (8).

a=\dfrac{204}{8}=25.5

Then compute the variance,

\mathsf{var}(X)=\dfrac{\Sigma_{i=1}^{n}(x_i-a)^2}{n-1}\approx\boxed{34.57}

And finally standard deviation,

Since have computed variance the standard deviation is nothing too hard. It's defined as a square root of variance,

\mathsf{sde}(X)=\sqrt{\dfrac{\Sigma_{i=1}^{n}(x_i-a)^2}{n-1}}=\sqrt{34.57}\approx\boxed{5.88}

Hope this helps.

r3t40

6 0
3 years ago
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