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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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Can some one please help me <br> will give 94 points for it
NNADVOKAT [17]
You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
\frac{AC}{BC} =  \frac{DF}{EF}
Substitute for the values of AC, BC, DF and EF:
\frac{x}{4}  =  \frac{11}{8}  \\  \\ 8x = 4 \times 11 \\  \\ x =  \frac{44}{8}
x = 5.5 \: units
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
\frac{AB}{BC}  =  \frac{DE}{EF}
Substitute for the values and solve:
\frac{3}{4}  =  \frac{y}{8}
4y = 24 \\  \\ y = 6 \: units

We have the value x to be 5.5 units and y to be 6 units.

7 0
3 years ago
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What is the length, in centimeters, of the hypotenuse of a right triangle with legs measuring V2 cm and 3 cm?​
WINSTONCH [101]

Answer:

\sqrt{13}

Step-by-step explanation:

A is the hyp. And b/c are the sides

A²=b²+c²=3²+2²=9+4=13

Now take the square root of 13 as the answer

5 0
3 years ago
the equation of the line / is -3y+4x=9. write the equation of a line that is parallel to the line / and passes through the point
nekit [7.7K]

Hey!

So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:

-3y + 4x = 9

-3y = -4x + 9

y = (4/3)x - 3

Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:

6 = (4/3)(-12) + b

6 = -16 + b

22 = b

Now that we know b, we have both the y-intercept and the slope so our equation would be:

y = (4/3)x + 22

4 0
3 years ago
Can somebody help me out ??
julia-pushkina [17]
Answer: y = -3/2x -5

explanation:
y = mx + b
7 = -3/2(-8)+b
7= 12 +b
subtract 12 on both sides
-5 = b

y = -3/2x - 5
3 0
2 years ago
Someone please I’m begging this is due by midnight and I can’t have it be late
Thepotemich [5.8K]

Answer:

(1) Coeficcient (2) Constant (3) 4 terms (4) In descending order, 2, 1, 3, 4 (5) -2 (6) 1 (7) 5 (8) 2 (9) -15, 5x, -7x^2, 2x^3 (10) -4x^2y, 2xy, 5x, 7

Step-by-step explanation:

Sorry if I got one wrong

8 0
3 years ago
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