<h3>
Answer:</h3>
y=1/2x
<h3>
Solution:</h3>
- The slopes of perpendicular lines are opposite reciprocals of each other.
- The simplest way to determine a number's reciprocal is to flip it over, like so:
![-2 ~ - > -\displaystyle\frac{1}{2}](https://tex.z-dn.net/?f=-2%20~%20-%20%3E%20-%5Cdisplaystyle%5Cfrac%7B1%7D%7B2%7D)
- Now, change the sign:
![\displaystyle\frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B1%7D%7B2%7D)
- So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
- Now, let's find the line's equation.
- First, let's write it in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-2)=1/2(x-4)
- y+2=1/2x-2 (Point slope)
- Now, convert to slope-intercept:
- y=1/2x+2-2
- y=1/2x
Hope it helps.
Do comment if you have any query.
Option number 3. this is the answer because she runs a mile in 8 minutes, so in order to find out how much it would take to run 5 miles, you would multiply 5 by 8.
You can solve for volume using radius or diameter.
Sphere Volume = <span> 4/3 • <span>π <span>• r³ <span> = <span>( <span>π <span>•d³)/6
We're given the diameter so let's use that.
Volume = PI * d^3 / 6
</span></span></span></span></span></span></span>
<span>Volume = 3.14159 * 3.0^3 / 6
</span>
<span>Volume = 3.14159 * 9 / 2
</span><span><span><span><span>Volume = </span>14.137 cubic centimeters
</span></span></span>
-1/y = 2/5y. The change from -1 to 2 would be -2, so we now that the change from y to 5y would also have to be -2. -2 = -10 so you multiply by 5. After doing the same to the top you would come to the conclusion that the LCD would be 5y. Hope this helps!