Answer:
-8, 0, and -12
Step-by-step explanation:
Using -7 would get you 8. Using -5 would get you 4
9^-2 = 1/81 or 0.0123
When there is a negative in front of the exponent it makes a fraction. It is usually just 1/the number it equals if it were positive.
Answer:
Opposite sides of the parallelogram are equal. Here, 60°+60°+ Angle ZWX + Angle ZYX = 360°
or,2* Angle ZYX = 240° [ Angle ZWX = Angle ZYX]
So, Angle ZYX = 120°
Then, In ∆ENY;
102° + (120-84)° + Angle ENY = 180° [Sum of all angles of a triangle.]
or, 36° + Angle ENY = 78°
So, Angle ENY = 42°
The ordered pair which makes both inequalities true is (-2, 2).
It is given that inequalities are
y < -x + 1 and y > x
For y < -x + 1
Substituting every ordered pair,
1) (-3, 5)
⇒ 5 < - (-3) + 1
⇒ 5 < 3 + 1
⇒ 5 < 4 is false
2) (-2, 2)
⇒ 2 < -(-2) + 1
⇒ 2 < 2 + 1
⇒ 2 < 3 is true
3) (-1, -3)
⇒ -3 < - (-1) + 1
⇒ -3 < 1 + 1
⇒ -3 < 2 is true
4) (0, -1)
⇒ -1 < -0 + 1
⇒ -1 < 1 is true
Now , for y > x
1) (-3, 5)
⇒ 5 > -3 is true
2) (-2, 2)
⇒ 2 > -2 is true
3) (-1, -3)
⇒ -3 > -1 is false
4) (0, -1)
⇒ -1 > 0 is false
Therefore ,the ordered pair which makes both inequalities true is (-2, 2).
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The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
3x−8≤23 AND −4x+26≥63
Rewrite properly as:
3x − 8 ≤ 23 AND −4x + 26 ≥ 63
Add to both sides of compound inequality ,the constant in the compound inequality expression
So, we have:
3x ≤ 31 AND −4x ≥ 89
Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression
So, we have:
x ≤ 31/3 AND x ≤ -89/4
hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4
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