Can anyone help me out? I need the answer and can you explain it! I’ll make brainlist thanks!

3) Equation of line is: 5x-8y+34=0

4) Equation of line is: 5x+y+5=0

Step-by-step explanation:

3) Equation of line parallel to and through point (-2,3)

When two lines are parallel they have same slope.

Converting the given equation to Slope intercept form i.e

Now comparing with we get value of m i.e 5/8 which is slope of line.

Now, finding y-intercept using point (-2,3) and slope 5/8

So, y-intercept is b= 17/4

The required equation is:

Writing in Standard form

So, Equation of line is: 5x-8y+34=0

4) Equation of line perpendicular to and through point (-2,5)

When two lines are perpendicular they have opposite slope i.e m=-1/m.

Converting the given equation  to Slope intercept form i.e

Now comparing with we get value of m i.e 1/5 which is slope of given line.

Slope of required line will be: m=-1/m = -5

Now, finding y-intercept using point (-2,5) and slope -5

So, y-intercept is b= -5

The required equation is:

Writing in Standard form

So, Equation of line is: 5x+y+5=0

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204