Start by converting x - 3y = 6 into slope-intercept form:
x - 3y = 6
Subtract x from both sides:
-3y = -x + 6
Divide both sides by -3:
y = (1/3)x - 2
Now compare both equations:
y = (1/3)x - 2
y = 3x + 2
They don't share anything perpendicular or parallel equations would share, so therefore they are neither.
Hope this helps! :)
The number of guests coming to Doug McDougal party can be calculated to be 23 people.
<h3>What number of people are coming?</h3>
Doug invited 138 guests and out of this, only 1/6 will be coming.
The number of people coming is therefore:
= Number invited x Proportion coming
Solving gives:
= 138 x 1/6
= 23 people
Find out more on problems involving proportions at brainly.com/question/14581282.
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We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
28 is the answer because multiply 6 times 2 and multiply 8 times 2 you would get 12 and 16 which when u add them it equals 28
Answer:
4th choice (if we guessed the blurry letters properly)
Step-by-step explanation:
The reflection maps ...
(x, y) ⇒ (x -y)
Then the rotation maps ...
(x, -y) ⇒ (y, x)
That is, R(-1, 4) becomes R'(4, -1), apparently matching point S, the only point at (4, -1). We can't read the letters, but we know that you only need to know where R ends up in order to select the correct answer.