M = -2 and b = 3
so equation
y = -2x + 3
hope it helps
Answer:
GI = 18; GE = 12; IE = 6
Step-by-step explanation:
The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.
- The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
- The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
- The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.
Point two is what you have to focus on.
GE/EI = 2/1
GE = 12 Given
Solution
GE / EI = 2/1 Substitute for the given
12 / EI = 2/1 Cross multiply
2*EI = 12 * 1 Simplify the right
2 * EI = 12 Divide by 2
EI = 12/2 Divide
Part Two
GI = EI + GE
GI = 6 + 12
GI = 18
EI = 6
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
- Add x to both sides to get 2x - 1 = 3
- Add 1 to both sides to get 2x = 4
- Divide both sides by 2 to get x = 2
Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^