In order to find the second endpoint or a line segment given the first and the midpoint, you need to realize that the midpoint is an average of the two endpoints. Given that fact, we can derive this formula looking at x values of points A and B with midpoint M. Remember this is only looking at the x values.
(A + B)/2 = M
So if we are looking for A, we can solve for A and use this modified formula.
(A + B)/2 = M
A + B = 2M
A = 2M - B
Now we can do this with the y values of these points as well. We then have the coordinates of both parts of A.
Answer:
The correct option is;
Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left
Step-by-step explanation:
The motion of the shape are
1) The shape is moved up from the initial position
2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock
3) The shape then moves two motion of coming down and moving right in one step
4) The shape is then rotated 90 degrees in the clockwise direction
5) In the final step, the shape is moved left.
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:
Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:
Now, we can use simple substitution to solve for m, or the slope.
Therefore, the slope of the line is 1.
Answer:
<h3>X<5 and X<3</h3>
Step-by-step explanation:
To solve this problem, first, you have to isolate it on one side of the equation. Remember to solve this problem, isolate x on one side of the equation.
x+3<8 and 3(x+4)-11<10
x+3<8
x+3-3<8-3 (First, subtract 3 from both sides.)
8-3 (Solve.)
8-3=5
x<5
3(x+4)-11<10
3(x+4)-11+11<10+11 (Add 11 from both sides.)
10+11 (Solve.)
10+11=21
3(x+4)<21
3(x+4)/3<21/3 (Next, divide by 3 from both sides.)
21/3 (Solve.)
21/3=7
x+4<7
x+4-4<7-4 (Then, subtract 4 from both sides.)
7-4=3
x<3
The correct answer is x<5 and x<3.
