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Tcecarenko [31]

3 years ago

11

Can someone help with this problem?

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

x = $\frac{1}{13}$

Step-by-step explanation:

Bases are the same. Move to exponents and set them equal to.

x = $\frac{1}{13}$

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Answer:

Step-by-step explanation:

(0, 3) (5, 1)

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Step-by-step explanation:

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Determine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5

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3 years ago

Convert the complex number z = -12 + 5i from rectangular form to polar form.

Paha777 [63]

Answer:

$z=13(\cos 157\degree +i\sin157\degree)$

Step-by-step explanation:

The given complex number is

$z=-12+5i$

The polar form of this complex number is;

$z=r(\cos \theta +i\sin \theta)$ , where

$r=\sqrt{(-12)^2+5^2}$

$r=\sqrt{144+25}=\sqrt{169}=13$

and

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This implies that;

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Hence the polar form is

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3 years ago

The perimeter of a rectangular garden is 24. If the length is half the width, what is<br> the width?

Anna11 [10]

Let length be x

Width be 2x

ATQ

$\\ \sf\longmapsto 2(L+B)=24$

$\\ \sf\longmapsto 2(x+2x)=2=$

$\\ \sf\longmapsto 2(3x)=24$

$\\ \sf\longmapsto 6x=24$

$\\ \sf\longmapsto x=\dfrac{24}{6}$

$\\ \sf\longmapsto x=4$

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