Determine the domain with symbols, will give brainlist

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

(-3,7)
Bskdnjdknekxisnd

navik [9.2K]3 years ago

5 0

Answer:

-3 > x > 7

Step-by-step explanation:

Since the domain is the x, there are open circles, and it ends, then x could equal -3 > x > 7

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Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.

givi [52]

<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

$TotalDuration=Introduction+n*Skit$

Second equation:

$Skit=6Minutes$

Where,

$TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes$

So, replacing and substituting the second equation into the first equation we have:

$101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16$

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

$101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes$

Have a nice day!

8 0

3 years ago

If the length of segment AC equals 58, what is the length of the midsegment DE

Delicious77 [7]

Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

$\therefore$ DE= $\frac{1}{2}$ AC