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3 years ago

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Perform the addition. (3x² + 3x - 5) + (-7x² + 9)

1 answer:

lakkis [162]3 years ago

8 0

The question is asking us to find the sum. To do this, let's first write the original equation and then take it from there.
$(3 x^{2} + 3x - 5) + (-7 x^{2} + 9)$ <span>
Use distributive property:
</span> $3 x^{2} + 3x - 5 - 7 x^{2} + 9$
Combine Like Terms:
$
-4 x^{2} +3x+4$
Therefore, the answer to your question is -4x² + 3x + 4. Hope this helps and have a fantastic day!

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MA_775_DIABLO [31]

<h2>Answer:</h2>

The Slope is $\frac{2}{3}\\$

<h2>Explanation:</h2>

Notice that both the points, $(0,20)$ and $(20,50)$ , are on the line. So we can use those points to calculate the slope. Recall that that slope of the line $m$ can be calculated by $\frac{y_2 -y_1}{x_2 -x_1}\\$ if we have the points, $(x_1,y_1)$ and $(x_2,y_2)$ .

<h3>Calculating for the slope of the line:</h3>

Given:

$(0,20)$

$(20,50)$

$m = \frac{50 -20}{20 -0} \\ m = \frac{30}{20} \\ m = \frac{2}{3}$

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3 years ago

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aev [14]

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3 years ago

Elena-2011 [213]

Answer:

<h2>9.2</h2>

Step-by-step explanation:

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$d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2$

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3 years ago

(sqrt3-sqrt3i)^4

Ludmilka [50]

The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.

<h3>Absolute values of the complex numbers</h3>

The absolute values of the complex numbers are determined as follows;

(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

$|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}$

(-1+sqrt3i)^12 = (-1 + √3i)¹²

$|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2$

(sqrt 3-i)^6 = (√3 - i)⁶

$|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2$

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

$|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2$

(sqrt2-i)^6 = (√2 - i)⁶

$|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}$

Increasing order of the complex numbers;

(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.

Learn more about complex numbers here: brainly.com/question/10662770

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3 years ago