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Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m = 
m = 
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
Answer:
34
Step-by-step explanation:
You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.
Angle 5= 46
Angle 7= 46 They are opposite, therefore, they measure the same.
If angle 2 is 134 degrees, so is angle 4.
They are parallel to each other, so angle 2 equals to angle 6, angle 4 equals to angle 8.
The sum of the four angles (5, 6, 7, & 8) is 360. The sum of the angle 2 (6) and angle 4 (8) is 268 (134x2).
360-268=92
92/2=46 Angles 5 and 7 are equal to each other, and their sum is 92, then you just need to divide 92 by two
I do not know about the signs next to 5 and 7, though. I hope this helped you
