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Anton [14]
4 years ago
13

Two variables have a positive linear correlation. Does the dependent variable increase or decrease as the independent variable​

increases?
Mathematics
1 answer:
andriy [413]4 years ago
8 0
When two variables have a positive linear correlation, the dependent variable increases as the independent variable increases. So when the independent variable decreases, the dependent variable decreases as well. Both variables decrease and increase simultaneously.
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Work out the angle of elevation from the
insens350 [35]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30°

____________________________________

\large \tt Solution  \: :

Let the angle of elevation be " x "

\qquad \tt \rightarrow \:  \cos(x)  =  \dfrac{9 \sqrt{3} }{18}

\qquad \tt \rightarrow \:  \cos(x)  =  \dfrac{ \sqrt{3} }{2}

\qquad \tt \rightarrow \: x =  \cos {}^{ - 1}  \bigg( \cfrac{ \sqrt{3} }{2} \bigg )

\qquad \tt \rightarrow \: x = 30 \degree \:  \:  or \:  \:  \cfrac{ \pi}{6}   \:  \: rad

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Graph and solve the system <br><br> Y=-3x+3<br> Y=2x-7
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An equation of the form y=ax+b, where a and b are constants; y and x are variable, is called a linear equation.

They are called "linear" because if we draw all the solutions of such an equation, they form a line. 

This also means that it is enough to:
 
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and all the solutions of the equation y=ax+b will be on that line.


Thus, to draw line y=-3x+3

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let y=0, then x=1 so a second solution is (1, 0)

(remark we can pick x or y to be any value, then solve for the other)


to draw the second line y=2x-7

let x=0, then y=-7
let x=3, then y=-1


plot these points and join them as shown in the picture.


The solution of the system is the point where the lines intersect, which is
 (2, -3)


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Answer:

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andre [41]
13.) A=9cm^2
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