Answer:
Step-by-step explanation:
Since we will be "completing the square" we will isolate the x2 and x terms ... so move the + 5 to the other side of the equal sign. y - 5 = 2x2 - 4x. We need a leading coefficient of 1 for completing the square ..
9514 1404 393
Answer:
(-1, -2)
Step-by-step explanation:
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (0, 2) = (5, 2) -(6, 6)
X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)
X = (-1, -2)
The image of the point after translation is (-1, -2).
Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
In algebra, when a number and a letter is close together, like 2a, it means 2×a. as same when you have two letters close together, it's multiplication, so ab means a×b, so instead of letters write the value,then multiply,
a×b
=7×6
=42
answer=42
hope this helps.......
Answer:
3 1/4
Step-by-step explanation:
3x+5=7x-8
Subtract 5 from both sides
3x=7x-13
Subtract 7 from both sides
-4x= -13
Divide by -4
X= 13/4
SIMPLIFIED: 3 1/4
