Find the perimeter of ABCD below.
1 answer:
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Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=
so the distance between point and center is radius
D=
D=
D=
D=√37 units
radius is √37 units
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=
so the distance between point and center is radius
D=
D=
D=
D=√37 units
radius is √37 units
Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40⇒collect like terms
w × z = -4 + 28i - 40
∵
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i