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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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Work out the percentage change to 2 decimal places when a price of £15 is decreased to £14.
Greeley [361]

Answer:

The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.

so the answer in a percentage is 15.22%.

Step-by-step explanation:

6 0
2 years ago
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The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle
Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x)      Width: 2      Length: 15+6x

20+12x=3(10+4x)      Width: 3      Length: 10+4x

20+12x=6(5+2x)       Width: 6      Length: 5+2x

4 0
3 years ago
J is the midpoint of KL. The coordinates of J are (-8,7) and the coordinates of K are (3,4) find the coordinates of L. (show wor
musickatia [10]
Assuming linear.
if k is at (3,4) and j is at (-8,7)
set. (y1,x1) and(y2,x2)

[(y2-y1),(x2-x1)]
[(-8-3),(7-4)]
distance from k to j is (-11,3)

now take coordinates of j and distance from. k->j and add them to get coordinate for L

[(-11+(-8)),(7+3)]= (-19,10)=L
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Re-write the quadratic function below in Standard Form<br> y = -9(x - 1)(x + 2)
Rzqust [24]

Answer:xryuvb

Step-by-step explanation:

3 0
3 years ago
Express y=3x+2 in general form
katrin [286]

General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.

So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.

y-y=3x+2-y

0= 3x - y +2 (By simplifying)

So, the general form of the given equation is 3x-y+2=0.

4 0
3 years ago
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