Which pair of lines are perpendicular lines? OA. y = 4x - 6 y = 4r +11 OB. y = -4x - 6 y = 4x + 11 O c. y = 1/4 - 6 y = 4x +11 OD. y=-**-6 x - 6 y = 4x + 11

Since the product of their slope is -1, hence the equation y = -1/4 x - 6 and y = 4x + 11 are perpendicular. Option D is correc.=t

For two lines to be perpendicular, the product of their slope must be -1.

The standard equation of a line in slope-intercept form is expressed as

y = mx +b

m is the slope

b is the y-intercept

Check the option D,

For the equation y = -1/4 x - 6, the slope is -1/4

For the equation y = 4x + 11, the slope is 4

Taking the product of their slope;

Product = -1/4 * 4

Product  = -1

Since the product of their slope is -1, hence the equation y = -1/4 x - 6 and y = 4x + 11 are perpendicular

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Option (D)

Step-by-step explanation:

We will use the property of perpendicular lines to solve this question.

If the two lines having slopes and are perpendicular,

Given lines are,

Option (A).

y = 4x - 6

y = 4x + 11

Lines are not the perpendicular lines.

Option (B).

y = -4x - 6

y = 4x + 11

Lines are not perpendicular.

Option (C).

y =

y = 4x + 11

Therefore, lines are not perpendicular.

Option (D).

y =

y = 4x + 11

Therefore, both the lines are perpendicular.

Option (D) is the answer.

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11