Answer:
x= 2√37
Step-by-step explanation:
First thing you want to do is find the length of the missing side where the the right angle is at. You can find that with the pythagorean theorem of the other triangle, since you are already given 2 sides.
Pythagorean Theorem
a=2
b=?
c=2√2
Plug in and solve for b.
2^2+b^2=(2√2)^2
4+b^2=8
b^2=4
b=2
Now use the pythagorean theorem again to find your x side.
a=2
b=12
c=?
2^2+12^2=c^2
4+144=c^2
148=c^2
c=√148
c=2√37
The equation of a line is given by the expression:
y=Mx + b
This is the slope form of an equation where M is the gradient of line and b is the y intercept.
For the slope, M= change in y values/ change is x values
(-3,8) , (-7,8) thus the slope m,=(8-8)/(-7--3)
m=0/-4 =0
the slope is 0
To find the b substitute the values in the equation y=Mx+b
Taking point (-3,8) and slope of 0
y=Mx+b
8=0*(-3) + b
8=0+b
8=b
The value of b is 8
The equation of the line will be;
The equation of the line is y=8
