The lengths of each of the segments connected by the given pairs of points are:
1. AB = 10 units
2. CD = 17 units
3. EF = 3 units
<h3>How to Find the Length of Segments Connected by Two Points?</h3>
To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:
d = .
1. Find the length of segment AB:
A(5,-3)
B(-3,3)
AB = √[(−3−5)² + (3−(−3))²]
AB = √[(−8)² + (6)²]
AB = √100
AB = 10 units
2. Find the length of segment CD:
C(-2, -7)
D(6, 8)
CD = √[(6−(−2))² + (8−(−7))²]
CD = √(64 + 225)
CD = 17 units
3. Find the length of segment EF:
E(5,6)
F(5,3)
EF = √[(5−5)² + (3−6)²[
EF = √(0 + 9)
EF = √9
EF = 3 units
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you simply have to add all of the numbers together, so it'll be 2+5+12+7+1 or 27, therefore the answer is B
This is actually formed by a triangle and a rectangle.
We can split the figure from Point C up. This would leave us with a rectangle of length 11 and width 8 and a triangle with height 11 and base 6. Use the formulas of the area of a rectangle and triangle to find the areas:
Multiply:
Multiply:
Add the two areas together to find the total area:
Answer:
The solution to the given system of equations is x=1 and y=6
That is the solution is (1,6)
Step-by-step explanation:
Given system of equations is
and
By solving the given equations by using elimination method :
Adding the equations (1) and (2) we get
_____________
3y=18
Therefore y=6
Substitute y=6 in equation (1) we get
Therefore x=1
The solution to the given system of equations is x=1 and y=6
That is the solution is (1,6)