Answer:
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Step-by-step explanation:
Equation of the given line: ![\[y=2x-3\]](https://tex.z-dn.net/?f=%5C%5By%3D2x-3%5C%5D)
Slope of the line = ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
Slope of the perpendicular line = ![\[-\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5B-%5Cfrac%7B1%7D%7B2%7D%5C%5D)
So the equation of the perpendicular line:
![\[y=-\frac{1}{2}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bc%5C%5D)
This passes through the point (-1,2).Substituting in the equation:
![\[2=-\frac{1}{2}*(-1)+c\]](https://tex.z-dn.net/?f=%5C%5B2%3D-%5Cfrac%7B1%7D%7B2%7D%2A%28-1%29%2Bc%5C%5D)
=> ![\[c=2+\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D2%2B%5Cfrac%7B1%7D%7B2%7D%5C%5D)
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
<span>A is rational</span>
<span>B is irrational</span>
<span>Product of a and b is irrational.</span>
The measure of missing angle is 115°
Answer:
x = -59/4
Step-by-step explanation:
3 x+ 2 = -x-57
Add x to each side
3 x+x+ 2 = -x+x-57
4x+2 = -57
Subtract 2 from each side
4x +2-2 = -57-2
4x = -59
Divide each side by 4
4x/4 = -59/4
x = -59/4
Answer: b=0
Step-by-step explanation:
0.5b+4=2(b+2)
0.5b+4=2b+4
4=1.5b+4
0=1.5b
b=0
