<p>Dunghy: You are originally x ft away at a 30 degree angle, and move 30 ft closer and the angle becomes 45 degrees. Height remains constant the entire time. In terms of x and 30 degrees, the height is x/sqrt3. In terms of x-30 and 45 degrees, it is just x-30. Now we have the height in two different expressions, set them equal to each other and get 41.</p>
<p>@alex, i got -4… the y-intersection was at (0,4) and the area was 2, so the height of the triangle was 1. using the principles of rise over run, the slope was -4…
also, the question didn’t say that the lines intercepted at x=1 (not sure though)</p>
<p>@myButler, not sure what two points you used but everything you said is right. Yes, the question didn’t say the lines intercepted at x=1, but that is what you need to figure out. Since the height of the triangle is 1, the x coordinate on the line x=y must be 1, meaning the point has to be (1,1). Do slope formula for points (0,4) and (1,1) and you get -3.</p>
<p>I think that the equation can have 0 real roots because, if the constant K is equal to 0, the rational root theorem would yield 0 possible real roots</p>
<p>i was pretty sure that it was -3, i also graphed it… the intersection was at x=1 because the area was 2 and
area of a triangle: .
0.5<em>base</em>height
base=4 (cause of the point given)
4<em>0.5</em>height= 2
height (x-coordinate)= 1</p>
<p>For the slope of line L and area of triangle, I got -3 as the slope. This is my work:
Area of triangle=. 5bh
.5(4)h= 2 because the area is 2
h= 1
Point of intersection between the two lines is (1,1) since the other line is y=x.
To find slope, (4-1)/(0-1)= -3.</p>
<p>**** for the root question i think i got it wrong i put one but it could have all the coefficients equal zero right? all how many questions can you get wrong if you don’t skip any and still get an 800</p>