For #4, for any right triangle a^2 + b^2 should equal c^2. Square roots are just numbers to a power of 1/2. You can multiply the exponents together of #^(2 * 1/2) and simply get #. With that in mind, we can use sqrt2 as our a, sqrt3 as b, and sqrt5 as c, since c is always the largest number. For A, sqrt2 squared is 2, for B, sqrt3 squared is 3, and c is 5. Since 2+3 does indeed equal 5 you have a right triangle.
For #5, dilating by 3 means our length will be three times as long as whatever it is there. To find out how long the line is, we can make a right triangle. The differences between the x values are 6, and the differences between the y values are 12. A^2 + b^2 = c^2, 144 + 36 = 180, c= sqrt180, which is approx. 13.416. Multiply that by 3 and you get ≈40.25 as K’L’.
Step-by-step explanation:
<h3> Solution,</h3><h3>Given,</h3><h3>Coordinates of A and B are (2,3) and(8,9) respectively.</h3><h3> Let A(2,3)= (x1,y1) and B(8,9)=(x2,y2)</h3><h3>Midpoint of AB(m)=?</h3><h3>Now,using midpoint formula</h3><h3>m= {(x1+x2)/2 ,(y1+y2)/2}</h3><h3>or m= {(2+8)/2,(3+9)/2}</h3><h3>.°. m=(5,6) </h3>
My best guess is to go with C, sorry if its wrong!
edit: just realized this said red and blue, my bad!
$210.67 is the answer. Rounded, of course, from 210.666666667
