The equation, 9x-6y=-72 in slope-intercept form is .
An equation is a mathematical statement that shows that two mathematical expressions are equal.
The standard form of equation in two variable is y= mx+b,
where y is the dependent variable
x is the independent variable
a is the intercept term
b is the slope
Given the following equation:
9x-6y=-72.......................1
Convert it into standard format y=mx+b,
Divide the equation by 6,
On multiplying the equation by -1.
On solving, to represent it into standard form:
On comparing it with standard equation,
Slope, m=3/2 and Intercept, b=12
Thus, slope-intercept form is .
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What is the quotient of 8 and x?
The distance from balloon to the western station is 495 miles.
Explanation:
The distance between two weather stations are 165 miles.
The angle of the regular triangle bearing from the western station is given by
90° - 40° = 50°
The angle of the regular triangle bearing from the eastern station is given by
90° + 22° = 112°
The angle of the balloon is given by
180° - 50° - 112° = 18°
Now, to find the distance of the balloon from the western station, let us use the law of sines formula,
Let us substitute the values.
Where and
Thus, we have,
Multiplying both sides of the equation by sin 112, we get,
Simplifying, we have,
Thus, the distance from balloon to the western station is 495 miles.
5,389.029
If rounded to nearest hundredth,
5,389.03
This is the answer 5,389.03 HOPE THIS HELPS!!!!!!