need help and friends but can you figure this out Find the equation of the tangent at ( 0 , 2) to the circle with equation (x + 2)2 + (y + 1)2 = 13 can someone be my friend:( too

2x + 3y = 6

Step-by-step explanation:

(x + 2)^2 + (y + 1)^2 = 13

Center is at (-2, -1) the slope of the radius from the center to point (0, 2) is:

slope = (2 -(-1)/(0 -(-2) = 3/2

the radius is perpendicular to the tangent line at the point of tangency and the slopes of the perpendicular lines are negative reciprocal so:

slope of the tangent line = -2/3

the equation of tangent at (0, 2) is:

y - 2 = -2/3(x - 0)

y = (-2/3)x + 2 => answer in slope - intercept form

3y = -2x + 6  

2x + 3y = 6 => answer in standard form

hope this helps :/

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.