![x+y=159\\ \underline{x-y=3}\\ 2x=162\\ x=81\\\\ 81-y=3\\ y=78](https://tex.z-dn.net/?f=x%2By%3D159%5C%5C%0A%5Cunderline%7Bx-y%3D3%7D%5C%5C%0A2x%3D162%5C%5C%0Ax%3D81%5C%5C%5C%5C%0A81-y%3D3%5C%5C%0Ay%3D78)
These numbers are 81 and 78.
Answer:
![m=4\frac{1}{3}](https://tex.z-dn.net/?f=m%3D4%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
the equation to this is
![y=4\frac{1}{3}x](https://tex.z-dn.net/?f=y%3D4%5Cfrac%7B1%7D%7B3%7Dx)
and slop-intercept form is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
with m being the slope,
so,
![m=4\frac{1}{3}](https://tex.z-dn.net/?f=m%3D4%5Cfrac%7B1%7D%7B3%7D)
Answer:
Dilations which reduce or enlarge an object. Translations which move the object from one part on the graph to another. I have also learned about how to construct a perpendicular bisector.
Step-by-step explanation:
Answer:
b. Every 24 minutes
Step-by-step explanation:
A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.
The first step is to:
Find and list multiples of each time each neon sign blinks.
This means, we find the Multiples of 6 and 8
Multiples of 6:
6, 12, 18, 24, 30, 36
Multiples of 8:
8, 16, 24, 32, 40
The first and common multiple of 6 and 8.
Therefore, the Least common multiple [LCM(6, 8) ] = 24
Hence, they often blink at the same time every 24 minutes.
Therefore, option b.Every 24 minutes is correct.