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Helen [10]
3 years ago
13

What are the roots of -12x2 + 11x − 3 = 0?

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0
-12x² + 11x - 3 = 0
x = <u>-(11) +/- √((11)² - 4(-12)(-3))</u>
                        2(-12)
x = <u>-11 +/- √(121 - 144)</u>
                   -24
x = <u>-11 +/- √(-23)
</u>              -24
x = <u>-11 +/- i√(23)</u>
             -24
x = <u>-11 + i√(23</u>)                x = <u>-11 - i√(23)</u>
            -24                                   -24
x = ¹¹/₂₄ - 0.0416√(23)      x = ¹¹/₂₄ + 0.0416√(23)
<u />
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What is the solution to the given system of equations. y = 4x - 3<br> y = -X- 13
san4es73 [151]
Y = 4x - 3
y = -x - 13
Since both equations equal y, we will just substitute both equations to equal each other.
4x - 3 = -x - 13
+x on both sides
5x - 3 = -13
+3 on both sides
5x = -10
/5 on both sides
x = -2

Substitute x = -2 into one of the equations.
y = -x - 13
y = -(-2) - 13
y = 2 - 13
y = -11

To check answer, plug in both x and y values into one of the equations.
y = -x -13
-11 = -(-2) - 13
-11 = 2 - 13
-11 = -11

Answer:
x = -2
y = -11
5 0
3 years ago
Which pair of expressions is equivalent using the Associative Property of Multiplication?
bixtya [17]
With the associative property, it does not matter which order you multiply numbers in. The answer to 4*5 is the same answer as 5*4. This works with more than two numbers as well. The associative property of addition also works this way.

In this question, it is important to watch where the parentheses are placed.


ANSWER: C) 4(2a * 5) = (2a * 5) * 4. Multiplying 4 to the left or the right of the set of parentheses will result in the same answer.

Hope this helps! :)
6 0
3 years ago
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Answer:

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Step-by-step explanation:

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7 0
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uranmaximum [27]
\text{The standard form of the circle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\\text{h and k are the x and y coordinates of the circle}

\text{We have}\\\\x^2-4x+y^2+8y-29=0\\\\\text{use:(*)}(a\pm b)^2=a^2\pm2ab+b^2
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