Answer:
The absolute value of 5 is 5
<em>Answer:</em>
The inequality that is true is -5 - 3x > 10.
<em>Step-by-step explanation:</em>
if x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]
-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]
2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]
So if x=-6, inequality true is -5 - 3x > 10.
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Answer:
4/12 2/3 5/6 5/6
Step-by-step explanation:
Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
