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bearhunter [10]

3 years ago

6

A plain cookie cake costs $9. To decorate it costs an additional $0.25 per letter (L). Write an equation that represents the tot

al cost (c) of a decorated cookie cake.

1 answer:

g100num [7]3 years ago

3 0

Answer:

c = 9 + 0.25l

Step-by-step explanation:

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PLZ HELP ME WILL MARK BRAINLEST Solve for x. −3/4x≥12 Enter the solution to the inequality in the box.

Ne4ueva [31]

-4(-3/4x)≥12)

3x ≤ -48

x ≤ -16 the answer to the question

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3 years ago

2(x-1) + 3x = 3<br><br> Can you help me

abruzzese [7]

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Please help me :)<br> i need answers to A and B

Oksi-84 [34.3K]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Which expression is a cube root of -1+i√3?

Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

$Z=(r,\theta)$

Then the cubic roots of Z are

$\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)$

$\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)$

We are given the complex number in rectangular components

$Z=-1+i\sqrt{3}$

Converting to polar form

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

$\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}$

It's located in the second quadrant, so

$\theta=120^o$

The number if polar form is

$Z=(2,120^o)$

Its cubic roots are

$\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)$

$\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)$

Converting the first solution to rectangular coordinates

$z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)$

The correct option is C.

8 0

3 years ago

Triangle ABC is shown below:

NeX [460]

Answer:

(-1, -4)

Step-by-step explanation:

In the graph:

The reflected point is 1 unit below 0 so x = -1

The reflected point is 4 units to the left of 0 so y = -4

Since coordinates are in (x, y) the coordinates are (-1, -4)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago