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Vikki [24]
3 years ago
9

Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi

Mathematics
1 answer:
Temka [501]3 years ago
3 0

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 - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

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Properties of parallelograms <br> PLEASE HELP
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Answer:

m∠Q = 109°

m∠QRT = 109°

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Step-by-step explanation:

1). "Opposite angles of a parallelogram are equal"

By this property,

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2). "Opposite sides of a parallelogram are parallel and equal in measure"

By this property,

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3). "Opposite sides of a parallelogram are parallel and equal in measure"

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3 years ago
A veterinary clinic saw 45 pets on Monday. The shaded squares in the grid below represent the 60% of pets
Black_prince [1.1K]
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2 years ago
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Rudiy27
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5 0
3 years ago
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What is the property of combining negative and positive numbers
vodomira [7]

Answer:

The answer will always be negative

Step-by-step explanation:

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Find csc0 and cos0 , where 0 is the angle shown in the figure. Give exact values, not decimal approximations.
solniwko [45]

Answer:

csc(θ) =  1.1662

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Step-by-step explanation:

I attach the image of your question in the picture below

We know the values of the adjacent and opposite cathetus

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