Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Answer:
(1,B) (1,R) (2,B) (2,R) (3,B) (3,R)
we know that
The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign
so
In this problem we have

the conjugate is equal to--------> 
therefore
<u>the answer is the option</u>
10+3i
The distance between the two points is 5 units
Explanation:
Given that the two points are located at
and 
We need to determine the distance between these two points using Pythagorean theorem.
The distance between the two points can be determined using the formula,

Substituting the coordinates
and
in the above formula, we get,

Simplifying, we get,

Squaring the terms, we get,

Adding the terms, we have,

Simplifying, we get,

Thus, the distance between the two points is 5 units.