The slope of the parallel line is 3/4
<h3>How to determine the slope?</h3>
The equation is given as:
3x - 4y = 8
Rewrite as:
4y = 3x - 8
Divide through by 4
y = 3x/4 - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope
By comparison:
m = 3/4
Parallel lines have equal slope
Hence, the slope of the parallel line is 3/4
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Basically we need to add and subtract 1/2 from 1/6:
(1) 1/6 - 1/2 = 1/6 - 3/6
= -2/6
= -1/3
(2) 1/6 + 1/2 = 1/6 + 3/6
= 4/6
= 2/3
Therefor the two numbers that are located 1/2 unit from 1/6 are -1/3 and 2/3
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>
The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
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Answer:
i think it's c but I'm rly not sure on this one...
8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.