Answer:
22 units
Step-by-step explanation:
The perimeter of a polygon is said to be the sum of the length of it's sides.
From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are
A = (−1, 3)
B = (−1, 6)
C = (2, 10)
D = (5, 6)
E = (5, 3)
To find the distance between two points, we use the formula
d = √[(y2 - y1)² + (x2 - x1)²]
Between A and B, we have
d(ab) = √[(6 - 3)² + (-1 --1)²]
d(ab) = √(3²) + 0
d(ab) = √9 = 3
Between B and C, we have
d(bc) = √[(10 - 6)² + (2 --1)²]
d(bc) = √[4² + 3²]
d(bc) = √(16 + 9) = √25 = 5
Between C and D, we have
d(cd) = √[(6 - 10)² + (5 - 2)²]
d(cd) = √[(-4)² + 3²]
d(cd) = √(16 + 9) = √25 = 5
Between D and E, we have
d(de) = √[(3 - 6)² + (5 - 5)²]
d(de) = √(-3)² + 0
d(de) = √9 = 3
Between E and A, we have
d(ea) = √[(3 - 3)² + (5 --1)²]
d(ea) = √[0 + (6)²]
d(ea) = √36 = 6
The perimeter is given as
d(ab) + d(bc) + d(cd) + d(de) + d(ea) =
3 + 5 + 5 + 3 + 6 = 22 units
Use the point-slope form of the equation of a straight line
y - y1 = m(x - x1) here m = (2/5), x1 = 2 and y1 = -1.
y -(-1) = (2/5)(x - 2)
y + 1 = (2/5) (x - 2)
multiplying through by 5:-
5y + 5 = 2x - 4
5y = 2x - 9
Answer:
8(-5 - -2) = 24. Inside the parantheses is 3. Then you'd multiply 8, which is 24
Step-by-step explanation:
Answer:
8 x 4 - (2 x 3 + 8) / 2 = 25
2f + 2v = $12.50
8f + 2v = $29.00
-2f. - 2v = -12.50
8f + 2v = 29.00
6f = $16.50
f= $2.75 each flower bouquet
2(2.75) + 2v = 12.50
5.50 + 2v = 12.50
2v = $7.00
v = $3.50 each vase
