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antiseptic1488 [7]
3 years ago
7

Simplify (9 + 7i)/(-10 + 8i)

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0
Multiply numerator and denominator by the conjugate of the denominator

Denominator: -10 + 8i
Conjugate of the denominator: -10 - 8i

Operation:

[9 +7i] / [-10 + 8i] * [-10 -8i] / [-10 - 8i] = [-90 - 72i - 70i +56] / [100 + 64] =

[-34 -142i] / 164 = [-17 -71i] / 82
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(x+7)^2+9=0<br><br> Find x with quadratics
Ne4ueva [31]

Answer:

x = -7 ±3i

Step-by-step explanation:

(x+7)^2+9=0

Subtract 9 from each side

(x+7)^2+9-9=0-9

(x+7)^2=-9

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(-9)

We know sqrt(ab) = sqrt(a) sqrt(b)

x+7 = ±sqrt(-1) sqrt(9)

We know that sqrt(-1) is the imaginary number i

x+7 = ±i *3

x+7 =±3i

Subtract 7 from each side

x+7-7 = -7 ±3i

x = -7 ±3i

6 0
3 years ago
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Lemur [1.5K]

Answer:

I can't see three but I'll answer the first two.

Step-by-step explanation:

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2 years ago
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Doss [256]
Edge length = 63 feet

Volume = (length) x (width) x (height)

Volume = (63 ft) x (63 ft) x (63 ft) = (63 ft)³ = 250,047 ft³ .
=====================================

1 yard = 3 ft
63 ft = 21 yards

Volume of the cube = (21 yd) x (21 yd) x (21 yd) = (21 yd)³ = 9,261 yd³
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A slightly different way:

1 yard = 3 ft
1 yard³ = (3 ft)³ = 27 ft³

Volume of the cube = (250,047 ft³) x (1 yd³/27 ft³) = 250,047/27 = 9,261 yd³
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ankoles [38]

Step-by-step explanation:

check it out.

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andre [41]

Step-by-step explanation:

(x - 4)(x - 1)

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