Answer:
(6,1)
Step-by-step explanation:
1.) group the x and y terms (and move the constant to the other side)
x²-12x+y²-2y= -12
divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)
x²-12x+36+y²-2y+1= -12+36+1
factor
(x-6)²+(y-1)²= 25
the center is therefore (6,1)
To convert the inches portion of the measurement to feet, divide the inches by 12. Then add that number to the feet. Multiply the sum by 0.25 to get the number of inches on the scale drawing.
When you have this many to do, a spreadsheet or calculator is helpful.
br: 2.625 by 2.750
lr: 6.250 by 4.667
kit: 3.375 by 2.000
dr: 3.000 by 2.500
The dimensions are listed here in the order given in the problem statement. Your answer is requested to be shortest dimension first, so you will need to reverse the numbers for all but the first one.
Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
It’s 27 because u multiple the first 2 number and it’s a negative then add the rest to it
