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laila [671]
2 years ago
9

Seventeen lines drawn in a plane, with no three concurrent and no two parallel, divide the plane into

Mathematics
2 answers:
stiks02 [169]2 years ago
4 0

Answer:

120

Step-by-step explanation:

Make a chart:

Lines:                  0   1    2   3  4   5   6

Closed regions: 0   0   0   1   3   6   10

Find the number of numbers using the formula:

\frac{first term + last term}{2} x 14 = \frac{2 + 15}{2} x 14

                                  = 8.5 x 14

                                  = 119

119 + 1 = 120

(add 1 because we didn't count the first line in the formula)

I hope this helps :)

alexdok [17]2 years ago
3 0
120 would most likely be your answer but
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Any equation has to have an equal sign. For example, 5x = 30 — there is an equal sign
3 0
3 years ago
Pls if anyone can solve NOW
Yuki888 [10]

Answer:

Step-by-step explanation:

For the graphing, we can graph both equations, and where they intercept is the answer. Okay, so we can give x random inputs and get y as an output which is one pair of coordinates. I usually like using 0 as x.  y-3(0)=12.  y-0=12. y=12. So for our first equation, on of the coordinates is (0,12). Now we can insert another input for x! ( I chose 1.)  y-3(1)=12.  y-3=12.  y=15.   So our other pair of coordinates for the first equation is (1,15). We can do the same with the second equation. 2y+8(0)= -4. 2y+0= -4.  y=-2.  The first pair of coordinates for the second equation is (0,-2).  Another input we can put in is 1, again. 2y+8(1)=-4. 2y+8=-4.   2y= -12.  y= -6. So our second pair of coordinates for our second equation is (1,-6). We can graph this with a graphing calculator, or mark these points and draw a straight line through them. When we draw a line through them, the part where the two lines intersect is the answer.

When we do substitution, we need to solve for x or y in the bottom equation. I want to solve for x. ( NOTE: IF YOU SOLVE FOR y, YOU STILL GET THE SAME ANSWER) x=-56-3y. Then we replace the x on the top equation with 56-3y. And we get: 2(56-3y)-y=0. We can use the distributive property. The answer I have is 112-6y-y=0.  -6y-y is -7y.  112-7y=0.    We can add 7y to both sides so they seperate the variables and the numbers. 112=7y.  Lastly, divide by 7. For y, we get 16. To get x, we insert y, AKA 16 into x+3y= -56. x+3(16)=-56.  x+48= -56. Our last step to get x is to subtract 48 from both sides leaving us with: x= -100. Our final answer is y= 16 and x= -100.

3 0
3 years ago
there are 15 rafts available for people to use on the adventure river ride. each raft holds 12 people. the park runs this ride 3
3241004551 [841]

540 people can ride the wild river in 1 hour if all of the rafts are used and each raft is full

<u>Solution:</u>

Given, There are 15 rafts available for people to use on the adventure river ride.  

Each raft holds 12 people.  

Then, total people capacity over all rafts = 15 x 12 = 180 people.

The park runs this ride 3 times each hour.  

We have to find how many people can ride the wild river in 1 hour if all of the rafts are used and each raft is full?

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6 0
3 years ago
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cluponka [151]

Answer:

m=\frac{-4}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-3, 1)

Point (2, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-3-1}{2+3}
  2. Subtract/Add:               m=\frac{-4}{5}
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sveticcg [70]

A coplanar point are points that lie on the same line. An angle is the intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.


hope that helps


7 0
3 years ago
Read 2 more answers
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