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Grace [21]
3 years ago
13

Solve the following system of equations graphically on the set of axes below.

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

You need to plot each line and see where they intersect.

Line 1: y = x+2

Plot the y-intercept (0,2) because of the +2 in the equation.

From (0,2), count "up 1, right 1" to get a second point, because the slope is 1.

From that new point, repeat the "up 1, right 1" to plot a third point.

Connect the dots to make your line.

Line 2: y = -1/3 x - 2

Repeat the same process, using the the y-intercept and slope for this line.

Then identify where they intersect.

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Small library contains 700 novels. how many ways can You check out three novels
schepotkina [342]

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is  (700 · 699 · 698)  =  <em>341,531,400 ways</em> .

<em>BUT ...</em>

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves.  You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to<em> </em>gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

8 0
3 years ago
X+y+z=10<br> 6x+y+2z=37<br> y-z=10
garik1379 [7]
Ignore the scribbles
Search up Elimination and substitution

7 0
3 years ago
4 – 3m<br><br> PLS HELP SOMEONE
Natalka [10]

Answer: it's 1 :)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The answer to this, i don’t understand it
Akimi4 [234]
Answer:
9.2

Step-by-step explanation:
Since it is a right triangle, you can use the Pythagorean theorem to find the third side which is the hypotenuse.

a^2 + b^2 = c^2
7^2 + 6^2 = c^2
49 + 36 = c^2
85 = c^2
9.219 = C
So, the answer rounded to the nearest tenth would be: 9.2


6 0
2 years ago
Read 2 more answers
Solve the equation 2.7 + x = 17
olga55 [171]
Hello!

To solve this equation, we need to isolate the variable on one side of the equation to see what it equals. 

As you can see, 2.7 is added. To get it onto the other side and cancel it from the one side, you will subtract it from both sides as shown below. Note that because of the commutative property, we can switch the places of 2.7 and x.

x+2.7-2.7=17-2.7  (Note that 2.7=2.7 is 0 in this equation.
x=14.3

Our solution is x=14.3

I hope this helped you learn how to solve equations a bit better!
4 0
3 years ago
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