All categories

3 years ago

How do you graph x-2y=4 And 2x+y=-7 system of equations

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

Look at the picture below

You might be interested in

A rectangle has its vertices at (-4, -3), (-4,7), (1,7), (1, -3). What part, in percent, of the rectangle is located in Quadrant

Rasek [7]

Consider the attached figure. The whole rectangle is ABCD, while AEGF is the part located in the third quadrant. In fact, this quadrant is composed by all the points with both coordinates negative.

To answer the question, let's compute the area of the two rectangles and see what part of ABCD is AEGF.

A and B have the same x coordinate, so the length of AB is given by the absolute difference of their y coordinates:

$\overline{AB} = |A_y-B_y| = |-3-7| = |-10| = 10$

Similarly, but exchanging the role of x and y, we compute the length of BC:

$\overline{BC} = |B_x-C_x| = |-4-1| = |-5| = 5$

So, the area of the rectangle is $\overline{AB} \cdot \overline{BC} = 10\cdot 5 = 50$

The same procedure allows us to compute width and height of the sub-rectangle in the third quadrant:

$\overline{AE} = |A_y-E_y| = |-3-0| = |-3| = 3$

$\overline{EG} = |E_x-G_x| = |-4-0| = |-4| = 4$

So, the area of the portion located in the third quadrant is $\overline{AE} \cdot \overline{EG} = 3\cdot 4 = 12$

This means that the ratio between the two area is

$\cfrac{\text{area }AEGF}{\text{area }ABCD} = \cfrac{12}{50}$

If we want this ratio to be a percentage, just make sure that the denominator is 100:

$\cfrac{12}{50} = \cfrac{12}{50}\cdot \cfrac{2}{2} = \cfrac{24}{100} = 24\%$

3 0

3 years ago

1+4=5 2+5=12 3+6=21 what is 8+11=

BlackZzzverrR [31]

8+11 is 19 Hope it helped

7 0

3 years ago

What are the parallel sides of a trapezoid

saul85 [17]

Answer:

Parallel means that the lines will never cross. If we look at a traditional trapezoid, the top side and the bottom side are straight lines that will never cross one another. The left and right sides are slanted towards one another, to they are not parallel.

Hope this helped. : )

3 0

3 years ago

The parents club wants to sell buttons to raise money for the local community center sports program. The buttons cost 60 cents e

astraxan [27]

Their profit made will be 4,420

This is because 0.60 x 1300 is 780

And the amount they will make by selling is $5200, because 1300 x 4

So we will do 5200 - 780, and that is the profit made- $4,420

3 0

3 years ago

Read 2 more answers

Please help I don't remember doing this at high school

ipn [44]

Use Pythagoras 6 squared =36-(4x4) =20 square root of 20 then times that by two

8 0

3 years ago