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tamaranim1 [39]
3 years ago
7

Complete the square: x^2 -6x+ = -13+

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

Completing the square gives you the equation:

(x - 3)² = -4

which can be simplified, giving you the complex number 3 ± 4i

Step-by-step explanation:

x^2 - 6x = -13\\x^2 - 6x + 9 = -4\\(x - 3)^2 = -4\\x - 3 = \sqrt{-4}\\x - 3 = \pm 4 i\\x = 3 \pm 4 i\\

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Martin ran 6.5 miles in one hour. At that speed, how many miles will he<br> three hours?
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ANSWER: Martin will run 19.5 miles in 3 hours.

STEP-BY-STEP EXPLANATION: 6.5 x 3 = 19.5
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Please help....There are 42 boys and girls participating in an essay-writing competition. Of the competitors, 21 are in seventh
almond37 [142]
The probability of an 8th grader winning is : 14/42 which reduces to 1/3

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Please someone answer this, “what is the area of triangle ABC?”
prisoha [69]

Here's the solution,

The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each

now,

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=》

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where,

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\dfrac{ \sqrt{3} }{4}  \times 8 \times 8

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4 0
3 years ago
Pi/6 is the reference angle for:<br><br> 3pi/6<br><br> 5pi/6<br><br> 13pi/6<br><br> 8pi/6
Elanso [62]

Answer:

\frac{5\pi}{6}, \frac{13\pi}{6}

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

a)

\frac{3\pi}{6}=90^\circ, then its reference angle is \frac{\pi}{2}

b)

\frac{5\pi}{6}=150^ \circ is in the second cuadrant, then its reference angle is 180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}

c)

\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ, then it is in the first cuadrant and the reference angle is 30^\circ =\frac{\pi}{6}.

d)

\frac{8\pi}{6}=240^\circ and it is in the third cuadrant, then its reference angle is 240^\circ -180^\circ=60^\circ=\frac{\pi}{3}

5 0
4 years ago
Is the following number negative, positive or neither?<br> -6 1/2
Annette [7]

Answer:

negative.

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You owe your friend 6 dollars, and you have 0 dollars.

Your friend told you: you only have to pay half the money

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