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3 years ago

Convert the polar equation to rectangular form: r = 2 / [1 + sin(theta)]

1 answer:

8 0

R = 2 / (1 + sin θ)

Using the following relations:

R = sqrt (x^2 + y^2)
sin θ = y/R

R = 2 / (1 + y/R)
R(1 + y/R) = 2
R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y

Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2

x^2 + 4y - 4

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Solve the system by substitution y=10x y=-3x-104

NISA [10]

Answer: (-8, -80)

Step-by-step explanation:

y = 10x

y = -3x - 104

Substitute "y" with "10x" into the second equation, then solve for x:

10x = -3x - 104

13x = -104 added 3x to both sides

x = -8 divided both sides by 13

Next, substitute -8 for x into the first equation to solve for y:

y = 10(-8)

= -80

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3 years ago

What is 4 1/3 × 2 3/5? express it in lowest terms

soldier1979 [14.2K]

We have,

$4\dfrac{1}{3}\cdot2\dfrac{3}{5}=\dfrac{13}{3}\cdot\dfrac{13}{5}=\dfrac{13\cdot13}{3\cdot5}=\dfrac{169}{15}=\boxed{11.2\bar{6}}$

To express periodic number calculated we use:

$x=11.2\bar{6}\\10x = 112.\bar{6}\\100x=1126.\bar{6}\\90x=100x-10x\Longrightarrow90x=1126.\bar6-112.\bar6\\90x=1014\\x=\dfrac{1014}{90}=\boxed{11\dfrac{24}{90}}$

Hope this helps.

r3t40

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3 years ago

What type of function can be used to model the scenario?

11111nata11111 [884]

Answer:

linear

Step-by-step explanation:

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3 years ago

SOMEONS PLEASE HELP ME I will mark brainliest!!!

tresset_1 [31]

Answer:

x=9

Step-by-step explanation:

because I asked my in-collage brother who told me

<h2>*THIS USER HAS BEEN VERIFIED AND ACCEPTED AS AN OFFICIAL BRAINLY© USER, ALLOWING THAT YOU GOT LUCKY FOR HAVING A PRO ANSWER THIS QUESTION*</h2>

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3 years ago

What is the sum of 4 and its additive inverse

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Answer:

Step-by-step explanation:

additive inverse means any number to make the sum zero. in this case 4 +(-4)=0

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3 years ago