A. Is answer F
B. Could be E or F
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:

Using this slope and the point (2,1) we can write the equation for AB as:

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4
here two given sides are 10 and 6,
We use the rule of triangle here:
sum of two sides> third side
checking for each option
Option A: AC=4
4+6>10, 10>10 (false)
So AC cannot be equal to 4, option A is answer.
Answer:
y - 3 = a(x + 1)^2
Step-by-step explanation:
The vertex equation of a vertical parabola is:
y - k = a(x - h)^2.
If the vertex is at (-1, 3), then the equation becomes:
y - 3 = a(x + 1)^2, where a is a constant.
Next time, would you please share the answer choices. Thank you.