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3 years ago

What is the slope and y intercept

1 answer:

6 0

The slope is the steepness of a line and the y-intercept is the vertical axis. i’m not sure what your question was but i hope this helped

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She bought 9 cases of tile for $189. She realizes she bought too much tile and returns 4 unopened cases to the store.

nadya68 [22]

So the 1 case of tile is $21
$21 x 5 = $105

8 0

4 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 0

3 years ago

Express answer in exact form. Show all work for full credit.Find the area of one segment formed by a 6" square inscribed in a ci

Zinaida [17]

The area of the square is:

$\begin{gathered} As=6^2 \\ As=36in^2 \end{gathered}$

And the area of the circle is:

$\begin{gathered} Ac=\pi r^2 \\ Ac=\pi\cdot(3\sqrt[]{2})^2 \\ Ac=18\pi \end{gathered}$

The area of one segment is given by:

$\begin{gathered} A=\frac{Ac-As}{4} \\ A=\frac{18\pi-36}{4} \end{gathered}$

7 0

2 years ago

Jennifer has already written 34 pages, and she expects to write 1 page for every additional

Artist 52 [7]

Answer:

14 more hours

Step-by-step explanation:

3 0

3 years ago

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The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphe

JulsSmile [24]

Remember that the formula for the surface area of a sphere is $SA=4 \pi r ^{2}$ . Substitute the given surface area to solve: $663,267=4 \pi r ^{2}$ . Divide by 4 on both sides: $165,816.75= \pi r ^{2}$ . Divide by pi on both sides: $52781.11= r ^{2}$ . Square root on both sides to find the radius: $229.741= r$

5 0

3 years ago