Factor 1/2 out of 12x−33/2. 1/2x−33/2=

Mathematics

1 answer:

dybincka [34]3 years ago

8 0

Answer:

16.5

Step-by-step explanation:

You might be interested in

△XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .

Yuri [45]

Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .

We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.

We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.

So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."

is correct.

5 0

3 years ago

Which point on the scatter plot is an outlier?

Colt1911 [192]

Answer:

The outlier on the the scatter plot is point L(6,2).

Step-by-step explanation:

M(3,3)

P(5,5)

N(5,7)

L(6,2)

Other points are : (1,3), (2,3), (2,4), (3,4), (3,5), (4,5), (4,6), (5,6)

Now, To find the outliers on the scatter plot we plot all the given points on the graph.

The resultant graph is attached below :

An outlier is a value in a data set that is very different from the other values. That is, outliers are values which are usually far from the middle.

As we can see the graph the point L(6,2) is the most unusual or the farthest point on the scatter plot as compared with all the other points on the scatter plot.

Hence, The outlier on the the scatter plot is point L(6,2).