assuming you mean y² = 169
then taking the square root of both sides gives
y =
= ± 13
since 13² = 169 and (- 13)² = 169
Answer:
(-3,3)
Step-by-step explanation:
Ms. Vogels unit rate is
rotations per minute.
Step-by-step explanation:
Given,
Rotations completed in 1/2 minute = ![61\frac{7}{8}=\frac{495}{8}\ rotations](https://tex.z-dn.net/?f=61%5Cfrac%7B7%7D%7B8%7D%3D%5Cfrac%7B495%7D%7B8%7D%5C%20rotations)
![\frac{1}{2}\ minute=\frac{495}{8}\ rotations](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5C%20minute%3D%5Cfrac%7B495%7D%7B8%7D%5C%20rotations)
For unit rate, we will multiply both sides with 2
![2*\frac{1}{2}\ minutes=\frac{495}{8}*2\\\\1\ minute = \frac{495}{4}\ rotations\\\\ 1\ minute = 123\frac{3}{4}\ rotations](https://tex.z-dn.net/?f=2%2A%5Cfrac%7B1%7D%7B2%7D%5C%20minutes%3D%5Cfrac%7B495%7D%7B8%7D%2A2%5C%5C%5C%5C1%5C%20minute%20%3D%20%5Cfrac%7B495%7D%7B4%7D%5C%20rotations%5C%5C%5C%5C%201%5C%20minute%20%3D%20123%5Cfrac%7B3%7D%7B4%7D%5C%20rotations)
Ms. Vogels unit rate is
rotations per minute.
Keywords: unit rate, fraction
Learn more about fractions at:
#LearnwithBrainly
Distance to the cabin is 'D' .
Distance = (speed) x (time)
Distance going = 30 H
Distance coming back = 36 (H - 1)
Distance is the same in both directions.
30H = 36(H - 1)
Eliminate parentheses: 30H = 36H - 36
Add 36 to each side: 30H + 36 = 36H
Subtract 30H from each side: 36 = 6H
Divide each side by 6 : 6 = H
It took 6 hours to go, 5 hours to come back,
and the trip was 180 miles each way.
6 x 30 = 180
5 x 36 = 180 yay !
Notice that 180 is the least common multiple (LCM)
of 30 and 36 . I'll bet that could have helped us if
we were all wide awake when we read the question.