Answer:
Transitive property of equality
Step-by-step explanation:
Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.
The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.
It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.
This shows the transitive property of equality.
There are 5 large dogs and 3 small dogs
<h3><u>Solution:</u></h3>
Let "S" be the number of small dogs
Let "L" be the number of large dogs
<em><u>Given that There are a total of 8 small and large dogs</u></em>
So we can frame a equation as:
number of small dogs + number of large dogs = 8
S + L = 8 ------- eqn 1
<em><u>You realize there are 2 more large dogs than small dogs</u></em>
Number of large dogs = 2 + number of small dogs
L = 2 + S -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "L" and "S"</u></em>
Substitute eqn 2 in eqn 1
S + 2 + S = 8
2S + 2 = 8
2S = 6
<h3>S = 3</h3>
Substitute S = 3 in eqn 2
L = 2 + 3 = 5
<h3>L = 5</h3>
Thus there are 5 large dogs and 3 small dogs
-8 is the quotient of -88 and 11.
The line segment AB with endpoints (-10,0) and (6,8). The equation of the line segment is x-2y+10=0.
Given that,
The line segment AB with endpoints (-10,0) and (6,8).
We have to find the equation of the line segment.
The equation of the line formula is y-y₁=m(x-x₁).
Here we don't know the m value that is nothing but slope of the line.
First we have to find the slope of the line segment.
Slope of the line m=
m=(8-0)/(6+10)
m=8/16
m=1/2
Now,
We know the equation of line is y-y₁=m(x-x₁)
y-0=1/2(x+10)
2y=x+10
x-2y+10=0
Therefore, The equation of the line segment is x-2y+10=0.
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