The answer is 6161 your welcome
Answer:
( x + 3 )² - 27
Step-by-step explanation:
x² + 6x = 18
→ Minus 18 from both sides to get a quadratic equation
x² + 6x - 18
⇒Completed square from is ( x + a )² + b
⇒The value of 'a' will always be half the 'b' value in the equation
ax² + bx + c
→( x + 3 )² + b
Expand out the equation to find 'b'
x² + 6x + 9
We have do something to get from 9 to - 18 which -27
So the answer is ( x + 3 )² -27
Answer:
(-3, -6)
explanation:
When reflected across x axis, the x value will be same and y value will become negative.
original coordinates of D: (-3, 6)
- so new coordinates: (-3, (-)6) = (-3, -6)
Solve the inequality for x:
5x - 3 ≤ 7x +7
Subtract 7x from each side:
-2x -3 ≤ 7
Add 3 to each side:
-2x ≤ 10
Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:
x ≥ -5
The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.
The correct answer is D.