Write the equation of the line described that passes through (12,-17), perpendicular to y = -3/7x - 5

y + 17 = 7/3(x - 12)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Perpendicular lines have the negative reciprocal slope of the given line's slope.

Step-by-step explanation:

Step 1: Define

Line: y = -3/7x - 5

Slope m = -3/7

Point (12, -17)

Step 2: Find slope of perpendicular line

Take the negative reciprocal of the original slope.

Slope m = 7/3

Step 3: Write perpendicular line equation

x₁ = 12

y₁ = -17

m = 7/3

y + 17 = 7/3(x - 12)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

step-by-step explanation: 2