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2 years ago

A line has a y intercept of 7 and a slope of 3/4, and goes DOWNHILL. What is the equation of this line?

Mathematics

2 answers:

Jet001 [13]2 years ago

8 0

The equation is y=-3/4x+7

Vladimir79 [104]2 years ago

4 0

the answer is b, if not then try d:)

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Dima020 [189]

Answer:

Step-by-step explanation:

11+5=16

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Which expression is a fourth root of -1+isqrt3?

aleksklad [387]

Answer:

Step-by-step explanation:

$\sf n^{th}$ roots of a complex number is given by DeMoivre's formula.

$\sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}$

Here, k lies between 0 and (n -1) ; n is the exponent.

$\sf -1 + i\sqrt{3}$

a = -1 and b = √3

$\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}$

$\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}$

$\sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})$

$\sf = \dfrac{-\pi }{3}$

n = 4

For k = 0,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi }{12}+iSin \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]$

For k =1,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]$

For k =2,

$z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]$

For k = 3,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]$

For k = 4,

$\sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]$

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1 year ago

Tina has 1/4 of a cake. He divides it between his 6 friends. How much of the whole cake will each friend get?

klemol [59]

As Tina only has 1/4 of a cake. For simplicity sake we can do the calculation with a whole cake and then multiply by four!

First it is stated that cake is divided into six pieces, giving us our first number.
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6 x 4 = 24

This means that each friend will get 1/24th of the whole cake.

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3 years ago

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ra1l [238]

Step-by-step explanation:

cotx- tanx= 2cot2x

L.H.S

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[ cos²x-(1-cos²x)]/sinxcosx

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2 years ago

Represent 42 divided by 6 = 7 using subtraction

GuDViN [60]

Answer:

42 - 6 - 6 - 6 - 6 - 6 - 6 - 6 = 0

42 - 7 - 7 - 7 - 7 - 7 - 7 = 0

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