The first step in solving using the substitution method is.
1 answer:
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Let's represent birds by the letter x and cats by the letter y. Since birds have 2 legs, and cats have 4, we can express this as:
We can solve by substitution. Let's solve for x in the second equation:
Replace every x in the first equation by that:
Now, plug that in for y in second equation and solve for x:
Since x was the number of birds and y was the number of cats in the store, there are 35 birds and 17 cats in the store.
We can solve by substitution. Let's solve for x in the second equation:
Replace every x in the first equation by that:
Now, plug that in for y in second equation and solve for x:
Since x was the number of birds and y was the number of cats in the store, there are 35 birds and 17 cats in the store.
Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
