The triangle in the question
Answer:
y = x-1
Step-by-step explanation:
The general equation of a line is y= mx+ b , where m is the slope of the line , and b is the y-intercept ( where the line intersects the y-axis)
For the points (x1 = 6, y1 = 5) and ( x2 = 13, y2 = 12) that are on the line give the
slope m = (y2-y1) / (x2-x1) = (12-5) / (13-6) = 7/ 7 = 1
Now the equation of the line became y = x+b , because the slope m= 1
To find b we have to substitute x and y of any of the 2 given points in our equation.
The point ( x= 6, y = 5) gives the equation 5 = 6 +b ; 5-6 = b; -1 = b
Now the equation of the line became y = x -1 , because the y- intercept, b=-1
3/5 - 2/5 = 1/5
I hope that helps!
Step-by-step explanation:
To solve this question I would use the sin rule.
The sin rule states that
Therefore if you substitute in your numbers you get:
If you rearrange that you get:
Therefore a = 17.3 Inches (to 3 sf)
This can also be done with basic trigonometry where you would get
Rearranging to
meaning the answer is 13.7 inches
Answer:
5 x^2 - 32
Step-by-step explanation:
Simplify the following:
3 x^2 + 2 x^2 - 32
Grouping like terms, 3 x^2 + 2 x^2 - 32 = (2 x^2 + 3 x^2) - 32:
(2 x^2 + 3 x^2) - 32
2 x^2 + 3 x^2 = 5 x^2:
Answer: 5 x^2 - 32
