Here we are required to rewrite the equation ax-by=c, where a,b,c>0 In the slope-intercept form.
The slope-intercept form of ax-by=c is ;
y = (a/b)x - (c/b).
There a no. of ways to write the equation of a line; however, the most popular of these ways is the slope-intercept form.
- The slope-intercept form usually takes the form ; y = mx + c.
Therefore, the equation ax-by=c can be rewritten thus;
- ax - c = by
- By divIDing both sides of the equation by b, we have ;
- (a/b)x - (c/b) = y
Consequently, the slope-intercept form of ax-by=c is ;
- y = (a/b)x - (c/b).
- where , (a/b) is the slope(m)
- and (-c/b) is the intercept(c).
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Answer:
44°
Step-by-step explanation:
Note that the square in located to the left of the two given intersecting lines denotes that it is a right angle, in which the measurements is 90°.
This means that:
∠α + ∠β = 90°
Let:
m∠α = x
m∠β = 46°
Plug in the corresponding numbers and variable to the given terms:
x + 46 = 90
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 46 from both sides:
x + 46 (-46) = 90 (-46)
x = 90 - 46
x = 44
x = 44° is your answer.
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Angle AGD is a right angle which equals 90 degrees.
Angle FGD would be 90-73 = 17 degrees.
Angle X is a vertical angle to FGD, which means they are the same.
Angle X = 17 degrees.