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iren2701 [21]
3 years ago
6

Find the perimeter of the polygon with the given vertices x(-1,3) y(3,0) z(-1,-2)

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

x(-1,3) y(3,0) z(-1,-2)

xy

m = (3 + 1)/(0 - 3) = 4/-3 = -4/3

y - 3 = -4/3(x + 1)

y - 3 = -4/3x - 4/3

xy: y = -4/3x + 5/3

yz

m = (0 + 2)/(3 + 1) = 2/4 = 1/2

y = 1/2(x - 3)

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

xz

m = (3 + 2)/(-1 + 1) = 5/0 = undefined

y - 3 = undefined(x + 1)

xz: x = -1

xy: y = -4x/3 + 5/3

yz: y = x/2 - 3/2

xz: x = -1

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Gnom [1K]

To solve for j, cross multiply:

4 x 45 = 18 x j

180 = 18j

Divide both sides by 18:

j = 10

5 0
3 years ago
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What is the slope and y-intercept of this<br> equation? y = 5x
denis-greek [22]

Answer:

Slope- 5  y-int- (0,0)

Step-by-step explanation:

y=mx+b, where m=slope and b=y-int. m=5, and we don't see a b, so it must be 0.

8 0
3 years ago
Dawn and abed each roll a standard die obtaining a random number from 1 to 6. if the probability that dawns number is larger tha
larisa [96]

Answer:

a+b = 12

Step-by-step explanation:

There are 36 possible outcomes for rolling two dice. Let A be the number rolled by Abed and D be the number rolled by Dawn. The sample space, in the format [A,D], of all of the possibilities in which Dawn's number is larger is:

[5,6]

[4,5] [4,6]

[3.4] [3,5] [3.6]

[2,3] [2.4] [2,5] [2.6]

[1,2] [1,3] [1.4] [1,5] [1.6]

There are 15 ways out of 36 possible ways of Dawn getting the higher number. In the simplest form:

\frac{15}{36}=\frac{5}{12}=\frac{a}{b}\\ a+b = 5+12 = 17

7 0
3 years ago
If x = -2, what does -x mean
pickupchik [31]

Answer:

<h2><em><u>-x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>

Step-by-step explanation:

<em><u>If</u></em><em><u>,</u></em>

x = -2

<em><u>Then</u></em><em><u>,</u></em>

-x = -(-2)

=> <em><u>-x = 2 (Ans)</u></em>

6 0
3 years ago
Which equation represents a parabola that opens upward has a minimum at x=3 and has a line of symmetry at x=3
umka2103 [35]

Answer:

y=x^2-6x+5

Step-by-step explanation:

Let us consider the equation y=x^2-6x+5

For a quadratic equation in a standard form, y=ax^2+bx+c, the axis of symmetry is the vertical line x = \frac{-b}{2a}.

Here in this case we have, a=1, b=-6 , c =5

Putting the values we get,

x = \frac{-(-6)}{2\times 1} = \frac{6}{2} =3

We can see that the axis of symmetry is x=3 and the graph is giving minimum at x=3.

Therefore, the required equation is y=x^2-6x+5. Refer the image attached.


4 0
3 years ago
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