Let's start b writing down coordinates of all points: A(0,0,0) B(0,5,0) C(3,5,0) D(3,0,0) E(3,0,4) F(0,0,4) G(0,5,4) H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
Let's solve your equation step-by-step.<span>0=<span><span><span>13</span><span>x2</span></span>−3</span></span>Step 1: Subtract 1/3x^2 from both sides.<span><span>0−<span><span>13</span><span>x2 </span></span></span>= <span><span><span><span>13</span><span>x2</span></span>−3</span>−<span><span>13</span><span>x2</span></span></span></span><span><span><span><span>−1</span>3</span><span>x2 </span></span>= <span>−3</span></span>Step 2: Divide both sides by (-1)/3.<span><span><span><span><span>−1</span>3</span><span>x2 </span></span><span><span>− 1</span>3</span></span>=<span><span>− 3 </span><span><span>−1</span>3</span></span></span><span><span>x2 </span>= 9</span>Step 3: Take square root.<span>x=<span>±<span>√9</span></span></span><span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−3</span></span>Answer:<span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−<span>3</span></span></span>
What you would do is take the denominators and multiply them by each other, then multiply the numerators by that same number. So like 4/10 and 4/9. You would say, (denominators) 10x9=90 and (numerators) 4x9=36. So your first fraction would be 36/90. Next, you would take (denominators) 9x10=90 and (numerators) 4x10=40. So your second fraction would become 40/90. Now it's a lot easier to compare. 36/90 < 40/90 would be the answer to my problem. I hope I helped!
