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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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The slope of AB is 3 over 4 and point A is (2. 9). How many possible locations are there for point
nignag [31]

Answer:

Part 1) There are infinity locations for the point B

Part 2) see the explanation

Step-by-step explanation:

Part 1) How many possible locations are there for point  B?

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

where

m=\frac{3}{4}

(x1,y1)=(2,9)

substitute

y-9=\frac{3}{4}(x-2)

Convert to slope intercept form

y-9=\frac{3}{4}x-\frac{6}{4}

y=\frac{3}{4}x-\frac{6}{4}+9

y=\frac{3}{4}x+\frac{30}{4}

y=0.75x+7.5

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therefore

There are infinity locations for the point B

Part 2) Describes a method to location the point

To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate

Example

Suppose that the x-coordinate of point B is 4

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3 0
2 years ago
Linear System Word Problem - Animals
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4 0
2 years ago
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trapecia [35]

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Step-by-step explanation:

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6 0
3 years ago
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3 years ago
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150 ÷ 6 = 25

8 0
3 years ago
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