Using distance between two points to find the lengths of the edges of the triangle, the correct option is:
b. Isosceles
The distance between two points,
and
, is given by:
![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D)
Vertex D is translated 4 units to the right is (9,8).
The lengths of the edges are:
![DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}](https://tex.z-dn.net/?f=DN%20%3D%20%5Csqrt%7B%289%20-%20%28-3%29%29%5E2%20%2B%20%288%20-%2010%29%5E2%7D%20%3D%20%5Csqrt%7B12%5E2%20%2B%202%5E2%7D%20%3D%20%5Csqrt%7B148%7D)
![DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}](https://tex.z-dn.net/?f=DO%20%3D%20%5Csqrt%7B%289%20-%20%28-3%29%29%5E2%20%2B%20%288%20-%206%29%5E2%7D%20%3D%20%5Csqrt%7B12%5E2%20%2B%202%5E2%7D%20%3D%20%5Csqrt%7B148%7D)
![NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4](https://tex.z-dn.net/?f=NO%20%3D%20%5Csqrt%7B%28-3%20-%20%28-3%29%29%5E2%20%2B%20%2810%20-%206%29%5E2%7D%20%3D%20%5Csqrt%7B0%5E2%20%2B%204%5E2%7D%20%3D%204)
<u>Two edges of the same length</u>, hence, it is an isosceles triangle, given by option b.
You can learn more about distance between two points at brainly.com/question/18345417
To find the m(slope) of our graph we can take two points from the graph, im going to use (0,2) and (1,8) the formula for slope is y2-y1/x2-x1
Plug the points in to get 8-2/1-0
The slope of this equation is 6.
For the y-intercept we just find where the line meets the y-axis and that is at 2.
The equation for this graph is y=6x+2
Answer:
Anupama wants to purchase a curtain of window for her study room, she measures its length as 14 m, breadth as 3m, how much cloth will she purchase?Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer. Wikipedia
The slope is 3/2
To find the slope, you have to use the slope formula
y2-y1/x2-x1
6-3/4-2
3/2
So the slope is 3/2
That is correct I think it is