Answer:
x=2
Step-by-step explanation:
We know AC = BC since this is an isosceles triangle
6 = 2x+2
Subtract 2 from each side
6-2 =2x+2-2
4 =2x
Divide each side by 2
4/2 =2x/2
2=x
The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>
The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:


Provided that:

Using l'Hospital's rule:

Therefore:

Hence; c = 0
Learn more about the limit of a function x here:
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Answer:
The equation of the line would be y + 4 = -1/8(x + 6)
Step-by-step explanation:
To find the point-slope form of the line, start by finding the slope. You can do this using the slope formula below along with the two points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -5)/(-6 - 2)
m = 1/-8
m = -1/8
Now that we have the slope, we can use that along with one of the points in the base form of point-slope.
y - y1 = m(x - x1)
y + 4 = -1/8(x + 6)