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3 years ago

Change to standard form. Can someone help with these 3 please, ty!

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer:x + 12y = 4

9x + y = 10

-9x + y = -7

Step-by-step explanation:idk for sure tho man

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What is the algebraic description for a transformation that translates the

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3 years ago

I need help on this question hurry!!

Natasha_Volkova [10]

Answer:

(0.4,1)

Step-by-step explanation:

I hope that this is for homework and not a quiz or test.

Since we already know the value of y which is 1, we can substitute it into the equation above it.

-5x+3=1

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3 years ago

The quotient of a number and 3 is 8

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3 years ago

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

3 years ago