<p>In the XY coordinate plane the distance between point B (10,18) and Point A (x,3) is 17. What is one possible value of x?</p>
<p>(page 535 number 18 in BB)</p>
<p>This is a basic coordinate geometry question. You should brush up the basics.</p>
<p>( x2-x1)<strong>2 + (y2-y1)</strong>2 = dist<strong>2
(10-x)</strong>2 + (18-3)<strong>2 = 17</strong>2
(10-x)<em>2 = (17</em>17)-(1515)
use a calculator from this point.</p>
<p>May be I should explain this too … now the RHS can have +/- value eauated to 10-x
when you take the square root
That is why you have two values… choose the relevant one for the answer</p>
<p>ehh, here’s another way to think of it if you didn’t remember the distance formula. (that way might be better for this anyways but this could help for future problems similar to this ^)</p>
<p>I just sketched it out onto a little graph and realized the point x has to be somewhere one the line y = 3. Then i figured i’d make another point (10,3) so i would be able to make the triangle (since we already have the 17 for hypotenuse) and vertical distance between (10,18) and (10,3) is 15. So now that we have two sides of the triangle (15 and 17) we could use pythag.</p>
<p>15^2 + b^2 = 17^2
225 + b^2 = 289
b^2 = 64
b = 8</p>
<p>but remember 8 isn’t the point, its the length of the bottom side of the triangle. Since that side is 8, the point has to be 8 units away from the x coordinate 10 which can be 2 or 18.</p>
<p>=)</p>
<p>Thanks guys.</p>
<p>On the one using the distance formula… I got to that point, but I know this sounds stupid how do you plug it in the calculator?</p>
<p>Go figure Im in AP Calculus haha…</p>
<p>If a and b are positive integers and (a^1/2 b ^1/3)^6= 432, what is the value of ab?</p>
<p>and page 599 number 17 in the blue book</p>
<p>type it correctly. i dont understand what that means</p>
<p>It’s hard to type it up with all those exponents ^</p>
<p>but just distribute that power of 6 to the a and the b to get (a^3)(b^2)=432. Now you know that 432 has to be divisible by something that is a cube and a square so try numbers that you know are cubes (8, 27, 64, 125) and see if they go into 432 giving an answer that is a square. </p>
<p>432 / 8 = 54
8 is the cube but 54 isnt the square</p>
<p>432/27 = 16
27 is the cube and 16 is square so this works</p>
<p>a^3 = 27
a = 3</p>
<p>b^2 = 16
b=4</p>
<p>4*3 = 12</p>
<p>=D</p>