What is the linear function that best fits the data set?

11) Help pls I have the answer I just need to show the work.

spayn [35]

True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).

To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.

23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601

I hope this helps!

4 0

3 years ago

Which table represents a linear function? y=3,7,11,15 y=3,8,15,21 y=3,9,3,9 y=3,9,27,81?

steposvetlana [31]

The table that represents a linear function is y=3,7,11,15

<h3>How to determine the table?</h3>

For a table to represent a linear function, the table must have a constant rate of change i.e. a common difference

From the list of options, we have:

y=3,7,11,15

The difference between each y value is 4

i.e. 7 - 3 = 11 - 7 = 15 - 11 = 4

Hence, the table that represents a linear function is y=3,7,11,15

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

6 0

2 years ago

Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create

anastassius [24]

Pattern is the rule that guides the formation of a set.

The sequence of the first five mosaics is 5, 8, 11, 14, 17
The sequence is arithmetic
There are 32 tiles in the tenth mosaic.

From the given design, the number of tiles used is:

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

(a) The first five

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

$T_4 = T_3 + 3 = 11 +3 = 14$

$T_5 = T_4 + 3 = 14 +3 = 17$

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

(b) The type of sequence

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

(c) The number of tiles in the tenth mosaic

The nth term of an arithmetic sequence is:

$T_n = T_1 + (n - 1) \times d$

In this case:

$T_1 = 5$

$d =3$

$n = 10$

So, we have:

$T_{10} = 5 + (10 - 1) \times 3$

$T_{10} = 5 + 9 \times 3$

$T_{10} = 5 + 27$

$T_{10} = 32$

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0

2 years ago

Write the standard form of the equation of the circle of radius r=6 and center (h,k) = (0,0).

Mama L [17]

Answer:

x²+y²=36

Step-by-step explanation:

any circle with center at (0,0)

has the equation of the form

x²+y²=r²

here r is radius r=6

so the answer

5 0

2 years ago

Grade 7 Need help with proportions (PICTURE INCLUDED)

jeka57 [31]

What you are doing with proportions most the time is solving for a variable which in this example I will use an x. You have to do something called cross multiplying. now look at number 21. when you cross multiply you multiply the number of the top part of the fraction on the left side to the bottom part of the fraction on the right side. In that example 1 × 36 = 36. now write 36 = 16x since you have to cross multiply the other parts of the fraction. Then you would divide both sides of the equation by 16. I will make a mixed fraction for this example. 2 4/16 which simplified equals 2 1/4

4 0

3 years ago