Answer:
(-2,6)
Step-by-step explanation:
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
The area of a parallelogram can be found using the formula
.
We know that
and
, so we can divide 12 by 5¼ to get b.
Let's put 5¼ as an improper fraction to make dividing easier.
5 wholes = 20 fourths. 20 + 1 = <u>21 fourths</u>.
Dividing by a fraction is the same thing as multiplying by its reciprocal.
To find the reciprocal we flip the numerator and the denominator and get 4/21.
4/21 × 12 = 48/21 which as a simplified mixed number is
84 units tall. If one inch is 12 units then seven inches is 84 units.