Answer:
The answer to your question is: letter C
Step-by-step explanation:
Data
A (-5 , -1)
B (-2, 3)
C (6, -3)
Perimeter = ?
Formula
![d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x2%20-%20x1%29%5E%7B2%7D%20%2B%20%28y2%20-%20y1%29%5E%7B2%7D%20%7D)
distance AB ![d = \sqrt{(-2 + 5)^{2} + (3 + 1)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-2%20%2B%205%29%5E%7B2%7D%20%2B%20%283%20%2B%201%29%5E%7B2%7D%20%7D)
![d = \sqrt{(3)^{2} + (4)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%283%29%5E%7B2%7D%20%2B%20%284%29%5E%7B2%7D%20%7D)
![d = \sqrt{(9 + (16) }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%289%20%2B%20%2816%29%20%7D)
![d = \sqrt{25}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B25%7D)
d = 5
Distance BC ![d = \sqrt{(-3 - 3)^{2} + (6 + 2)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-3%20-%203%29%5E%7B2%7D%20%2B%20%286%20%2B%202%29%5E%7B2%7D%20%7D)
![d = \sqrt{(-6)^{2} + (8)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-6%29%5E%7B2%7D%20%2B%20%288%29%5E%7B2%7D%20%7D)
![d = \sqrt{100}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B100%7D)
d = 10
Distance AC ![d = \sqrt{(-3 + 1)^{2} + (6 + 5)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-3%20%2B%201%29%5E%7B2%7D%20%2B%20%286%20%2B%205%29%5E%7B2%7D%20%7D)
![d = \sqrt{(-2)^{2} + (11)^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-2%29%5E%7B2%7D%20%2B%20%2811%29%5E%7B2%7D%20%7D)
![d = \sqrt{4 + 121}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B4%20%2B%20121%7D)
![d = \sqrt{125}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B125%7D)
d = 11.2
Perimeter = 5 + 10 + 11.2
= 15 + ![\sqrt{125}](https://tex.z-dn.net/?f=%5Csqrt%7B125%7D)
Given:
The table of values is
x y
-4 2
-3 5
-2 8
-1 11
To find:
The slope of the line that contains these points.
Solution:
From the given table consider any two point.
Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
![y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))](https://tex.z-dn.net/?f=y-2%3D%5Cdfrac%7B5-2%7D%7B-3-%28-4%29%7D%28x-%28-4%29%29)
![y-2=\dfrac{3}{-3+4}(x+4)](https://tex.z-dn.net/?f=y-2%3D%5Cdfrac%7B3%7D%7B-3%2B4%7D%28x%2B4%29)
![y-2=\dfrac{3}{1}(x+4)](https://tex.z-dn.net/?f=y-2%3D%5Cdfrac%7B3%7D%7B1%7D%28x%2B4%29)
Using distributive property, we get
![y-2=3x+12](https://tex.z-dn.net/?f=y-2%3D3x%2B12)
![y=3x+12+2](https://tex.z-dn.net/?f=y%3D3x%2B12%2B2)
![y=3x+14](https://tex.z-dn.net/?f=y%3D3x%2B14)
Therefore, the required equation of line is
.
Answer:
1,130 cm
Step-by-step explanation:
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>
Consecutive integers can be represented as x, x+1, x+2 and so on.
x+x+1+x+2+x+3+x+4=-65
5x+10=-65
5x=-75
x=-15
Final answer: -15, -14, -13, -12, -11