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algol13
3 years ago
9

What is the equation of the line that passes through the point (-6, -2) and has a slope of 1/6?

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

y=1/6x -1

Step-by-step explanation:

Use point-slope form to convert it to y=mx+b.

y-y1=m(x-x1)

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

Distribute and simplify.

y+2=1/6x+1

y=1/6x-1

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HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
3 years ago
Express 9 2/3 out of 100 as a percent .
creativ13 [48]

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

4 0
2 years ago
-2 + (–15) = –(2 + 15) what property is this equation
barxatty [35]

Hello.

The answer is: The Commutative property

The Commutative property states that order does not matter. Multiplication and addition are commutative. Commutative is also when you change the order of the equation but its still that same answer.

Have a nice day.




4 0
3 years ago
Sara's mother has bought 90 lollipops and 105 pencils for goody bags for Sara's birthday. What is the largest number of goody ba
crimeas [40]

Answer:

<h3>15</h3>

Step-by-step explanation:

<h2>you need to find the lcf(least common factor) of the two numbers which is 15</h2>
5 0
3 years ago
2.5y; when y = -5.2
attashe74 [19]
The answer is -13. You figure it out by multiplying 2.5×-5.2=13
7 0
3 years ago
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