October 22 2011 ACT Math Discush

<p>^Two imaginary answers. The question was 2^(x^2+1) = 1. 2^0 = 1, so x^2+1 = 0, so x^2 = -1. The roots then are i and -i.</p>

<p>^ I got that as well.</p>

<p>Naathaan, the circle circumscribed the triangle. If you drew a circle around the triangle, it could have helped you see that the hypotenuse was the diameter. The midpoint of the hypotenuse was the center of the circle.</p>

<p>Hotdog, I believe that answer was 2 imaginary values, which I think was A.
The question was 2^(x^2+1)=1. If a number is raised to an unknown power, and the result is 1, that power must be zero. So x^2 had to equal negative one. The only possible values that would allow that were -i and i.</p>

<p>any chance of -2 -> 35??</p>

<p>I hope so, I guessed on 2 of them, nearly positive I got everything else right. There’s a very small chance that I got a perfect score but that depends on my guesses</p>

<p>For the system of questions problem, I realized that the coefficients of the first equation were triple of that of the 2nd equation, thus it must be -9.</p>

<p>For the circumscribed circle I guessed 4,0 totally stumped by it.</p>

<p>I wonder how people solved the second and third last problems. I solved them very quickly by using a root finder program in the TI-84 (that’s not illegal) for the former, and used regression for the latter.</p>

<p>Incredibly easy.</p>

<p>Wouldn’t the circle w/ angle sum be 45? Because the two inscribed angles made it 1/2 * 90…</p>

<p>what were the second and third last questions again?</p>

<p>Can someone describe this “dot” quesion adding 64 63 62 etc. I dont seem to remember it…</p>

<p>I vaguely remember them now. 57 was t1 = 1 dot, then t2 had 1 dot and 2 dots below so 3 total, t3 had 1, 2, 3 dots in each row so 6 dots. What is t64? It’s 2080</p>

<p>58 was what is the roots for some quadratic equation, I think the roots were 17 and 1</p>

<p>how about the one with the inscribed triange? I skipped it and went back to it but had no time…i put 60?</p>

<p>Does anyone know the answer to the last question of the math on form… 71-a or 71-f(I can’t remember) it was a question asking about the perimeter of a triangle that was similar to another triangle. I picked j. I knew it was j or k, but I ran out of time.</p>

<p>@hotdog57 Check the previous page, someone explained that answer is 4,3, midpoint of hypotenuse.</p>

<p>^yeah, so the middle term was -18</p>

<p>For those still wondering, the explicit formula for triangular numbers is n(n+1)/2</p>

<p>So 64*65/2= 2080</p>

<p>does anybody remember the answer choices given for the question that asked for the value of k for x^2+kx+17? i know the answer was -18, but i just want to remember if i guessed correctly.</p>

<p>^ im not positive, but i have a feeling it was A</p>

<p>The choices were something like -9. 1, 0, 1, 9 with -9 being right and A</p>

<p>Ahhh I see. I thought it was INscribed not circumscribed. In which case I think i’d still be wrong lol. Oh well… Was hoping for at least a 34 in math. But I got at least two wrong for sure just by looking at these threads, not even counting stupid mistakes I may have made…</p>

<p>The question that asks what P is, where P is the perimeter, its P > 24 huh? I put P > 36 for some reason… ****</p>