write the equation of the line that passes through the point and is perpendicular to the given line (3,6) ; 2x- 6y = 12

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Step-by-step explanation:

Line equation is y = ax +b. We need to solve for a and b

First we will solve for the slope (a)

Given that it is perpendicular to 2x - 6y = 12, we know that our slope a is the negative reciprocal of the slope of this line. Lets put this line in point-slope format.

2x - 6y = 12

-6y = -2x + 12

y = (1/3)x - 2

This line has a slope of 1/3 so our slope is the negative reciprocal of that. Our slope is -3

We can plug that slope into our line equation in place of a

y = -3x + b

Now we can plug in (3,6) to solve for b

y = -3x + b

6 = -3(3) + b

6 = -9 + b

15 = b

Therefore our line equation is:

y = -3x + 15

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true