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)
=>
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Answer:
13
Step-by-step explanation:
13 because there pretend there is 24 people then it would be 12 but then there is one left over so 13 because somebody would have to shake hands with that person
2/15
Step-by-step explanation:
yellow Marbles =5
blue marble =5
red marbles =3
white marbles =2
total marbles =15
p of white marbles= white marble/ total marble
so 2/15
in simplest from 7.5
Answer:
<em>D.1767.1 in³</em>
Step-by-step explanation:
<em>volume of a sphere=4/3πr³</em>
<em>where r=radius of the sphere</em>
<em>Given diemeter= 15in</em>
<em>so radius=15/2=7.5in</em>
<em>volume=4/3×π×(7.5)³</em>
<em>=4/3×22/7×(7.5)³</em>
<em>=1767.1in³</em>
<em>hope it helps...</em>
<em>have a great day!!</em>