Randolph is creating rectangle WXYZ so that WX has an equation of y = 1 over 4x + 4. Segment XY must pass through the point (−2, 6). Which of the following is the equation for XY? y − 6 = 1 over 4(x − (−2)) y − (−2) = 1 over 4(x − 6) y − 6 = −4(x − (−2)) y − (−2) = −4(x − 6)

Correct option: Third one -> y − 6 = −4(x − (−2))

Step-by-step explanation:

As WX and XY are adjacent sides of a rectangle, they are perpendicular, so their slope are related as follows:

slope1 = - 1 / slope2

So if the slope of WX is 1/4, the slope of XY is -4, so we can model with the equation:

y = -4x + b

as XY pass through the point (-2, 6), we have:

6 = -4*(-2) + b

6 = 8 + b

b = -2

So we have that y = -4x - 2

Correct option: Third one

(y − 6 = −4(x − (−2)) -> y - 6 = -4x - 8 -> y = -4x - 2)

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

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