Answer: 3x - y = 4
Step-by-step explanation:
3x - y = 4
-3x -3x
—————
- y = -3x -4
—- —— —
-1 -1 -1
y = 3x + 4
Answer: ( x + 1)² + (y - 4)² = 16
Explanation:
1) The given equation, ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.
1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.
2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.
This is how:
(x,y) → (x - 3, y + 5)
(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)
3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:
( x + 1)² + (y - 4)² = 16 ← answer
Answer:
x= -108
Step-by-step explanation:
x/6 + 7 = -11
x/6= -11-7
x/6= -18
x= -18*6
x= -108
Answer:
-2/5
Step-by-step explanation:
Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.
Hope this helps!
Answer:
1/6 is the distance left to cover
Step-by-step explanation:
A kilometer is equal to 1 whole. In this scenario, you jog 1/6, and 2/3. Since 6 is a multiple of 3, we can use the common denominator to convert 2/3 into 4/6. Then we can our two distances, 4/6 and 1/6, to get a total of 5/6.
Then subtract from the whole.
