Answer:

Step-by-step explanation:
Given parameters:
Points = (1,1) and (5,-5)
Unknown:
Slope = ?
Solution:
The slope of the a line is the ratio of the rise of a line to its run.
Slope =
x1 = 1
y1 = 1
x2 = 5
y2 = -5
Insert the parameters and solve;
Slope =
=
= 
Answer:
x=2
Step-by-step explanation:
4x-6=6-2x
(add 2x and 6 to both sides)
6x=12
(divide by six)
x=2
Double Check:
4(2)-6=2
6-2(2)=2
4(2)-6=6-2(2)
Answer:

Step-by-step explanation:
Please find the attachment.
We have been given that area of triangle ABC is 3√2 square inches.

We know that area of triangle an be found using trigonometry as:







Now, we will use inverse sine to find the value of angle A as:



Therefore, the measure of angle A is approximately 28 degrees.
Heya !
Using a theoram about triangles ,
Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,
Also , the length of third side always greater than absolute difference of the other two sides ,
Let the third side be x ,
So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1
Hence , x ∈ [ 2 , 17 ] inch.
Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...
As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,
For right angled triangle , we have 2 cases ,
Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.
Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.
Hope it helps you ! :)