Answer:
![5\sqrt{3}](https://tex.z-dn.net/?f=5%5Csqrt%7B3%7D)
Step-by-step explanation:
![\sqrt{75}](https://tex.z-dn.net/?f=%5Csqrt%7B75%7D)
There is a perfect square of 25, so we remove it.
![=\sqrt{25\times3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%5Ctimes3%7D)
Split the radical sign for both radicand.
![=\sqrt{25}\times \sqrt{3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%7D%5Ctimes%20%5Csqrt%7B3%7D)
Simplify the perfect square;
![5\sqrt{3}](https://tex.z-dn.net/?f=5%5Csqrt%7B3%7D)
Answer:
-2/3
Step-by-step explanation:
To find the slope of the line connecting two points, divide the change in y by the change in x.
Change in y --> 4 - (-2) = 6
Change in x --> -3 - 6 = -9
Change in y ÷ change in x = 6 ÷ (-9) = -2/3
Slope = -2/3
Any perpendicular line has a negative reciprocal slope. So your slope would be 2. The. You would have the equation : y=2x+b. You would then replace the coordinate (5,6) with x and y on your line to solve for b. Your equation would be : y=2x-4
Answer:
the number is 1
Step-by-step explanation:
4(7n-n)=24
28n-4n=24
24n=24
n=1
5/8÷1/3=5/8×3/1
(multiply by reciprocal instead of dividing)
5/8×3/1=15/8=1.875