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I am Lyosha [343]
3 years ago
8

Graph the data from the tables onto the following graph. Note that for both tables, the values in the first column must be plott

ed along the x-axis and the values in the second column must be plotted along the y-axis.
Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Graphs are used to visualize the set of data on a table or functions and equations

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

The table is not given.

So, I will make use of the following table to plot the graph

x     y

1       2

2      4

3      6

4      8

5     10

To plot the table on a graph, we place the x values on the x-axis, and the y values on the y-axis

See attachment for the graph of the table

Read more about graphs and tables at:

brainly.com/question/14323743

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In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}
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Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

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The area of the triangle is 24 square feet. what is the length of the base?
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Answer:

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Step-by-step explanation:

Area of a Triangle: (Base*Height)/2.

Therefore, Base:(2A)/Height =(2*24)/2=16

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Prove that A is idempotent if and only if AT is idempotent. Getting Started: The phrase "if and only if" means that you have to
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Answer:

It is proved that A is idempotent if and only if A^T is idempotent.

Step-by-step explanation:

Case-1 : First assume that A is idempotent that is, A^2=A. We have to show by using this (A^T)^2=A^T. So,

(A^T)^2=A^T\times A^T=(A\times A)^T=(A^2)^T=A^T

Thus A^T is idempotent.

Case-2 :

Conversly, assuming A^T is idempotent, thet is,  (A^T)^2=A^T . We have to show A^2=A. So,

A^2=A\times A=(A^T)^T\times(A^T)^T=(A^T\times A^T)^T

=((A^T)^2)^T=(A^T)^T=A

Thus A is idempotent. Hence proved.

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