Answer and Step-by-step explanation:
Since we know that lines <em>l</em> and <em>m</em> are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
<u>Subtract 7 from both sides.</u>
116 = 2x
<u>Now, divide both sides by 2.</u>
58 = x
<u>So, the value of x is 58.</u>
<u></u>
<u></u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Just subtract the number infront of missing number to the opposing number
Your pfp. *kneels down*
will you marry me, genshin player?
<span><span>13−<span>6x</span></span>=<span><span><span>(<span><span>2x</span>−5</span>)</span>2</span>+3</span></span>Step 1: Simplify both sides of the equation.<span><span><span>−<span>6x</span></span>+13</span>=<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span></span>Step 2: Subtract 4x^2-20x+28 from both sides.<span><span><span><span>−<span>6x</span></span>+13</span>−<span>(<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>)</span></span>=<span><span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>−<span>(<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>)</span></span></span><span><span><span><span>−<span>4<span>x2</span></span></span>+<span>14x</span></span>−15</span>=0</span>Step 3: Use quadratic formula with a=-4, b=14, c=-15.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(14)</span></span>±<span>√<span><span><span>(14)</span>2</span>−<span><span>4<span>(<span>−4</span>)</span></span><span>(<span>−15</span>)</span></span></span></span></span><span>2<span>(<span>−4</span>)</span></span></span></span><span>x=<span><span><span>−14</span>±<span>√<span>−44</span></span></span><span>−<span>8</span></span></span></span>
Answer:
(-6,4)
Step-by-step explanation:
The equations are:
Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:
Now we can solve for y:
So plugging in y = 4 into an equation and solving for x, we have:
So y = 4 corresponds to x = 6 & x = -6
The pairs would be
(6,4) & (-6,4)
<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>
