Given:
The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).
To find:
Which type of triangle is ΔWXY by its sides.
Solution:
Distance formula:

Using distance formula, we get





Similarly,


Now,

So, triangle is an isosceles triangles.
and,





So, triangle is right angled triangle.
Therefore, the ΔWXY is an isosceles right angle triangle.
The correct quadratic equation;
x2+7x-2=0
Working
Assuming the frame has a uniform thickness;
Then length of mirror and frame is 3+x and width 2+x
The area of mirror and frame area;
A=L*W
8=(3+x)(2+x)
8=(6+5x+x2)
Taking 8 to the Right hand side, we have:
x2+5x-2 =0
-5.9, -5 7/8, 5.78 because negative is less than zero and 7/8= .850 :)
Answer:
The lines are parallel, and their slope is 1/3.
Step-by-step explanation:
Slope = Rise/Run
Rise tells us the distance between the two points on the y-axis and the run tells us the distance between the two points on the x-axis.
For Line 1, the rise is one unit and the run is three units. Therefore, the slope is 1/3.
For Line 2, the rise is one unit and the run is three units. Therefore, the slope is also 1/3.
Hope this helps!