To have 2 real number solutions the discriminant b^2 - 4ac must be greater than zero.
so the condition for 2 real roots in this equation is:-
b^2 - 4*1*5 > 0
b^2 > 20
b > sqrt 20 ( positive root) Answer
Well, a distance-preserving transformation is called a rigid motion, and the name suggests that it <em>moves the points of the plane around in a rigid fashion.</em>
A transformation is distance-preserving if the distance between the images of any two points and the distance between the two original points are equal.
If that's confusing, I get it; basically if you transform something, the points from the transformation are image points. Take the distance from a pair of image points, and take the distance from a pair of original points, and they should be the same for a <em>rigid </em>motion.
I keep emphasizing this b/c not all transformations preserve distance; a dilation can grow or shrink things. But if you didn't go over dilations, don't say nothin XD
Answer:
(4, -23)
Step-by-step explanation:
We are given;
We are needed to determine the point that lies on the equation;
- We need to know that for a point to be lying on the equation it must satisfy the equation.
- This means when we use the value of x in the equation we should get the exact value of y of the given point;
Point (4, -23)
Replacing x = 4 in the equation;
y = -5(4) - 3
= -23
Therefore, the point lies on the equation as the point satisfies the equation
Thus, the required point is (4, -23)
The answer might be B or C. If I’m not mistaken.
The answer is -1. First you distribute the 3. Then u distribute the 3 again to the parentheses. Then solve it from there