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erastova [34]
3 years ago
8

URGENT!!

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

let the number be x for all the qns

1. x/3+4=7

x/3=3

x=9

2. x^2+7=32

x^2=25

x=5 or -5

3. 30÷7x=1

30=7x

x=30/7 or 4.29(3.s.f.)

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What are the solutions of the equation x^2+4x=96
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X² + 4x = 96

Subtract 96 from both sides to get the equation equal to zero:
x² + 4x - 96 = 0

We can solve for x either by factoring or by using the Quadratic Formula. Let's attempt to factor first. To factor, find two numbers whose sum is 4 and whose product is -96. Since 96 is negative, the pair will be one positive and one negative (a positive times a negative is always negative). Let's start listing addends of 4 and calculating their product.

12 + (-8) = 4; 12 × (-8) = -96

The pair is 12 and -8. The factored polynomial is (x + 12)(x - 8). To find x, find the zeros.

x + 12 = 0
x = -12

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Answer:
x = -12 and x = 8
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Which complex number has a distance of StartRoot 17 EndRoot from the origin on the complex plane?
kari74 [83]

Answer:

4 - i

Step-by-step explanation:

Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i.  Also, we know that  i will not be in the end result, which means that we should have a negative in the result as well.

To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:

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Simplify (7x) - (-2x).<br> O 5x<br> 0 -5x<br> O 9x<br> 0-9x<br> NEXT QUESTION<br> 2<br> ASK FOR UEL
marysya [2.9K]

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Since you are subtracting a negative from a positive you would get 9

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