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Citrus2011 [14]
4 years ago
5

Test in an hour. Please help.

Mathematics
1 answer:
ololo11 [35]4 years ago
8 0
Now.. on the first one \bf \sqrt{-27}\cdot \sqrt{-3}\impliedby \textit{first, you convert them to "i" form}
\\\\\\
\sqrt{3^2\cdot 3\cdot -1}\cdot \sqrt{3\cdot -1}\implies \sqrt{3^2}\cdot \sqrt{3}\cdot \sqrt{-1}\cdot \sqrt{3}\cdot \sqrt{-1}
\\\\\\
3\sqrt{3}\ i\cdot \sqrt{3}\ i\implies 3(\sqrt{3})^2\ i^2\implies 3\cdot 3\cdot i^2\impliedby recall\quad i^2=-1
\\\\\\
-9\implies -9+0i
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Find the discriminant<br> 9x^2+14x+13=8x^2
tiny-mole [99]

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

8 0
3 years ago
Duane and mick are saving their money to build a tree house.Duane adds $5 to their piggy bank every other week.Mick adds $2 ever
miss Akunina [59]
2 + 7 + 2 + 7 + 2 + 7 + 2 + 7 + 2 + 7 = 45
7 = 5 + 2 
10 weeks 

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6 0
3 years ago
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62 is 10 times larger than what?
NARA [144]
To find a number 10 times smaller than 62 simply move the decimal point one place to the left.

The decimal point in 62 is at the end of the number.    62. becomes 6.2 if we move the decimal one place back.
5 0
3 years ago
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Solve by completing the square x^2-6x-4=0
Vesna [10]

Answer:

x = 3 ± \sqrt{13}

Step-by-step explanation:

x² - 6x - 4 = 0 ( add 4 to both sides )

x² - 6x = 4

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = 4 + 9

(x - 3)² = 13 ( take square root of both sides )

x - 3 = ± \sqrt{13} ( add 3 to both sides )

x = 3 ± \sqrt{13}

6 0
2 years ago
5 is a prime number of 2475 what are the other two numbers
ArbitrLikvidat [17]
2475=3^2\cdot5^2\cdot11

The two other prime factors are 3 and 11
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