D(2, –4) → D' = (-4, 2)
E(1, –1) → E'= (-1, 1)
F(5, 1) → F'=(1, 5)
What is the rule that describes a reflection across the line y = x?
rx = y(x, y)= (y, x)
- 18
- 6
- 2
- 3
- 4
- 1
- 5
- 3
Step-by-step explanation:
<em>it</em><em>'s</em><em> </em><em>a</em><em> </em><em>m</em><em>atter</em><em> </em><em>of</em><em> </em><em>substi</em><em>tuting</em><em> </em><em>the</em><em> </em><em>val</em><em>ues</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>,</em><em>b</em><em> </em><em>,</em><em> </em><em>c</em><em> </em><em>into</em><em> </em><em>all</em><em> </em><em>the</em><em> </em><em>8</em><em> </em><em>expressions</em>
Hey!
To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
3 ( x - 4 ) ≥ 5x + 2
<em>New Equation {Changed by Distribution} :</em>
3x - 12 ≥ 5x + 2
Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.
<em>Old Equation :</em>
3x - 12 ≥ 5x + 2
<em>New Equation {Changed by Adding 12 to Both Sides} :</em>
3x ≥ 5x + 14
Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.
<em>Old Equation :</em>
3x ≥ 5x + 14
<em>New Equation {Changed by Subtracting 5x From Both Sides} :</em>
-2x ≥ 14
Now we must inverse the inequality. To do that we multiply both sides by -1.
<em>Old Equation :</em>
-2x ≥ 14
<em>New Equation {Changed by Inverse} :</em>
2x ≤ -14
Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.
<em>Old Equation :</em>
2x ≤ -14
<em>New Equation {Changed by Dividing Both Sides by Two} :</em>
x ≤ -7
Seeing as the equation cannot be simplified any further, we have our answer.
<em>The value of x in the inequality </em><span><em>of 3 ( x – 4 ) ≥ 5x + 2, is </em> x </span>≤ -7.
Hope this helps!
- Lindsey Frazier ♥
