One example, take the conversion fact that there are 5 miles for every 8 km.
Now if we want to work out how many kilometres in 6 miles, the conversion above is not going to help straight away.
We first need to find how many kilometres in ONE mile [which is the unit rate]
5 miles = 8 kilometres
1 mile = 8/5 kilometres
1 mile = 1.6 kilometres
Once we know the unit rate, we can then work out the number of kilometres for any number of miles.
For example:
6 miles = 6×1.6 = 9.6 kilometres
25.5 miles = 25.5 × 1.6 = 40.8 kilometres
Answer:
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Step-by-step explanation:
drcgtgtfttcctt
Answer:
Step-by-step explanation:
- Pythagorean theorem
Answer:
Step-by-step explanation:
use substitution and solve this 8x+4(-2x+3)=12
with the 4 distributed its
8x-8x+12=12
then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
