Step-by-step explanation:
Let the other endpoint be (x,y)
Since, (1,6) is the midpoint between (9,1) and (x,y)
Therefore,
1=(9+x)/2
=> 2=9+x
=> x= -7
and,
6=(1+y)/2
=>12= 1+y
=> y=11
So, the other endpoint is ( -7, 11)
Answer:
The smaller number is -9.
Step-by-step explanation:
Let <em>x</em> and <em>y</em> be the two unknown numbers.
Their sum is -5. Hence:
Their difference is 13. Hence:
This yields a system of equations. We can solve this using elimination. Adding the two equations together:
Simplify:
Divide both sides by two. Thus:
Using either equation (I'll use the first):
So, our two numbers are 4 and -9.
The smaller number is -9.
From the pre-image, the pentagon is reflected across the Y axis. From the second pentagon that was reflected across the Y axis is another reflection across the X axis.
A reflection across an axis is when the image is flipped over that axis that is mentioned. This is happening two times starting with the original. First it crosses the Y axis which will be flipping it to the left. The X values in the original ordered pair would all be the opposite of the original.
Then it is reflected across the X axis which would be flipping it down. This time the y values end of the ordered pair would all be the opposite from the previous figure.
Answer:
-89 +4i sqrt (3)
Step-by-step explanation:
sqrt(-48) - 89
sqrt(-1) sqrt(48) - 89
We know that sqrt(-1) = ±i
±i sqrt(48) - 89
±i sqrt(16)sqrt(3) - 89
±4i sqrt(3) - 89
Taking the principal square root
-89 +4i sqrt (3)