Answer:
<h2><em>
(3,6)</em></h2>
Step-by-step explanation:
Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:
M(X,Y) = 
From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2
Substituting the given end points into the given formula to get the other end points, we will have;
Similarly;
<em>Hence the other endpoint (w, y) is (3,6)</em>
When you are looking for a fraction, it is best to convert this into a percentage, which in this case, is 80%. Following on from this, you will have to round the number up, which in this case, will be to 200- however, depending on the number, this could be different. From this, you then have to find 80% of 200. From this, you then have to divide 200 by 10, giving you 20, and then multiply this by 8, to get 160, and this is a good estimate for 4/5 of 192. Hope this helps you <span />
Y=(1/2 x)-2
My Work:
Say that the slop is "a" and that the y-intercept is "b".
For the slope:
First coordinate equation: -3=-2a+b
Second coordinate equation: -1=2a+b
Combine the equations. -3-(-1)=-2a-(2a)+b-(b)
Break down the parenthesis. -3+1=-2a-2a+b-b
Simplify the equation. -2=-4a
Divide both sides by -4 to get the answer to the slope. a=1/2
For the y-intercept:
Use the second coordinate's equation and the now known slope. -3=-2*1/2+b
Multiply -2 by 1/2 (Order of Operations). -3=-1+b
Add +1 to both sides to cancel the -1. -3+1=b
Finally, solve the solve -3+1 to get the answer to the y-intercept. b=-2
Answer:
equation;
Center (-4,2)
Radius is
Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of
Where (h,k) is center
r is the radius
So first we group like Terms together
Add 7 to both sides
Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem
and
so we have
To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is
So the radius is 3 times sqr root of 3.
First, set the coordinate points on a graph, and joint them to form a graph
By looking at the graph we can see that:
width : 3
length: 6
Area of a rectangle : Length x width : 6 x 3 = 18
