Find a Cartesian equation for the curve.

Mathematics

1 answer:

Galina-37 [17]2 years ago

6 0

$r = 3sec( \alpha ) \\ r = \frac{3}{cos( \alpha )}$

$x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = \frac{x}{r}$

$r = \frac{3}{ \frac{x}{r} } \\ r = \frac{3r}{x} \: \: \: \: \: \: x = 3 \\ line$

You might be interested in

Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)

nirvana33 [79]

The point slope form or the equation of a line is :

y - y1 = m(x - x1)

First find the slope between the two coordinates:

m = y2-y1/x2-x1

m = 0-4 / 2-(-6)

m = -4 / 8

m = - 1/2

Now create the point slope form / equation of a line:

y - 4 = - 1/2(x - (-6))

y - 4 = - 1/2(x + 6)

OR you can have

y - 0 = - 1/2(x - 2)

8 0

4 years ago

Read 2 more answers

Y = 5x - 13 4x + 3y = 18

hram777 [196]

replace Y = 5x - 13
into
4x + 3y = 18



4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5

Y = 5(10.5) - 13
= 52.5 - 13
= 39.5

answer: x = 10.5 and y = 39.5

3 0

3 years ago

What is the value of m in the equation m-n= 16, when n=8? O 20 O 32 O 44 O 48

Norma-Jean [14]

Answer:

Step-by-step explanation:

m-n=16

when n=8

m-8=16

or,m=16+8

or,m=24

3 0

3 years ago

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to line 4x - 3y = 8 a

Ronch [10]

Hello:
the equation is : y = ax+b
the slope is a : a×(4/3) = -1......( perpendicular to a line with a slope of 4/3) because : 4x-3y =8...y=(4/3)x-8/3 )

a = -3/4 y=(-3/4)x+b
the line that passes through (3, -2) :- 2 = (-3/4)(3)+b
b =1/4
 the equation is : y = (-3/4)x+1/4

5 0

3 years ago

Graph the line with the equation y=-x-5y=−x−5.

AVprozaik [17]

Answer:

Just getting points i hope u find the answer tho :))

Step-by-step explanation:

5 0

3 years ago