Answer:
They can never be both either increasing or decreasing.
Step-by-step explanation:
If the rate of change i.e. the slope of one linear function is positive, that means the graph of the linear function makes angle which varies between 0° to 90° with respect to the positive direction of the x-axis.
Therefore, the function must be increasing.
Again, if the rate of change i.e. the slope of one linear function is negative, that means the graph of the linear function makes angle which varies between 90° to 180° with respect to the positive direction of the x-axis.
Therefore, the function must be decreasing.
Hence, if the rate of change of one linear function is positive and for another is negative, they can never be both either increasing or decreasing. (Answer)
Answer:
x
=
±
√
5
−
2
Step-by-step explanation:
If you're trying to find the missing side of the "triangle" (the distance from the house to where the ladder touches the ground), you would use the pythagorean theorem, a²+b²=c². (c is always hypotenuse)
a²+b²=c²
12²+b²=15²
144+b²=225
b²=81
√b²=√81
b=9
7 should be the answer.
7 doubled is 14. Hope this helps
Answer:
Step-by-step explanation:
Given
Point: (-7,2)
x + 3y = -5
Required
Find B- - A in Ax + By = 3
To start with; we need to calculate the slope of x + 3y = -5
Subtract x from both sides
Divide both sides by 3
The slope of the line is the coefficient of x
Slope = 
The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of
Having calculated the slope, next is to calculate the equation of the line using the following formula;
Where m is the slope; m = ; 
Substitute these values in the formula above; the formula becomes
Cross Multiply
Open brackets
Add x to both sides
Add 6 to both sides
Multipby both sides by -3
Comparing the above to Ax + By = 3
