document.write( "Question 485840: the distance between the points (x,8) and (3,4) is 5 units. Then x is \n" ); document.write( "
Algebra.Com's Answer #332204 by Jstrasner(112)![]() ![]() You can put this solution on YOUR website! Hey,\r \n" ); document.write( "\n" ); document.write( "So for this problem we need to use the pythagorean theorem to discover what x is. \n" ); document.write( "First, we need to plot the triangle that the two points are making: \n" ); document.write( "First, the 8 and the 4 are the y measurements of the triangle, so if you subtract 4 from 8 you get 4. So we know that the measurement of the y leg is 4. \n" ); document.write( "Second, the pythagorean theorem says that z^2 = x^2 + y^2 \n" ); document.write( "We know what the z and the y are: z=5 and y=4. So if we plug them into the equation we get: \n" ); document.write( "5^2 = x^2 + 4^2 => 25 = x^2 + 16 => 9 = x^2 => x = 3 \n" ); document.write( "So if the x measurement is 3 then the x coordinate in the point must be 3 units away from (3,4) along the x axis. So the x coordinate is 3 + 3 = 6 \n" ); document.write( "Therefore, x = 6 \n" ); document.write( "It may be a little confusing but just plot out the triangle and use the pythagorean theorem, where the two short legs of the right triangle are the x and y and the long side, or the hypotenuse, is the z. \n" ); document.write( "I hope this helps! \n" ); document.write( " |