Answer:
C
Step-by-step explanation:
Legs are the sides of an isosceles triangle that aren't the base, so in this case ZX would be the base. This rule is only for isosceles triangles. It doesn't apply to any other type of triangle.
Hope I helped, sorry if I'm wrong!
~Mschmindy
Answer:
y=x
Step-by-step explanation:
The graph is a line
The only function that is a line is
y=x
Answer:
The equation of the line is y - 3 = -2(x + 4)
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope of the line which passes through the points (x1 , y1) and
(x2 , y2) is 
- The product of the slopes of the perpendicular lines = -1
- That means if the slope of a line is m then the slope of the
perpendicular line to this line is -1/m
- The point-slope of the equation is 
* lets solve the problem
∵ A given line passes through points (-4 , -3) and (4 , 1)
∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1
∴ The slope of the line 
- The slope of the line perpendicular to this line is -1/m
∵ m = 1/2
∴ The slope of the perpendicular line is -2
- Lets find the equation of the line whose slope is -2 and passes
through point (-4 , 3)
∵ x1 = -4 , y1 = 3
∵ m = -2
∵ y - y1 = m(x - x1)
∴ y - 3 = -2(x - (-4))
∴ y - 3 = -2(x + 4)
* The equation of the line is y - 3 = -2(x + 4)
Answer:
B
Step-by-step explanation:
If the point lies on the circle, the distance of the point to the center would be equivalent to the circle's radius since radius is defined as the distance from the center to any point of the circle.
Since length of a radius is half of a diameter,
radius= diameter ÷2
radius= 12 ÷2
radius= 6 units
Let's find the length between each points to see which is equal to 6 units, using the distance formula below.

A. Distance between 2 points

(to 5 s.f.)
Since the distance is greater than 6 units, point A lies outside the circle.
B. Distance between 2 points

Since the distance of B from the center is 6 units, point B lies on Circle O.
Let's check the other 2 points:
C. Distance between 2 points

Since the distance of point C from the center is greater than 6 units, point C lies outside the circle.
D. Distance between 2 points

(to 5 s.f.)
Point D also lies outside Circle O.
Answer: Slope is -1
Using the slope formula, we get
m = (y2 - y1)/(x2 - x1)
m = (0 - 4)/(2 - (-2))
m = (0 - 4)/(2 + 2)
m = -4/4
m = -1
What's going on here is that we subtract the y values 0 and 4 to get -4. This means that we dropped 4 units vertically to go from A to B. This is the rise. So rise = -4
The run is 4 because we moved 4 units to the right to go from A to B. This is found algebraically when we subtracted the x coordinates, so 2 - (-2) = 2 + 2 = 4.
Slope = rise/run = -4/4 = -1
You have the correct answer, assuming you wrote -1. I think your teacher just marked it wrong because you forgot to show steps.