The legs are 5 inches long.
Use the Pythagorean theorem:
The length of the hypotenuse of the triangle is approximately 7 inches long.
JK where T is the midpoint. J >>>>> T >>>>> K.
JK = 5x - 3
JT = 2x + 1
Because T is the midpoint, it means that JT = TK
So, JT + TK = JK
(2x + 1) + (2x + 1) = 5x - 3
4x + 2 = 5x - 3
4x - 5x = -3 - 2
-x = -5
x = 5
JK = 5x - 3
JK = 5(5) - 3
JK = 25 -3
JK = 22
The length of JK is 22.
Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots
initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots
replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots
B is answer
Answer:
DF^2=DH^2+HF^2
DF=√DH^2+HF^2
DF=√2(DH^2) {AS IT IS A CUBE THEN ALL SIDES ARE EQUAL}
DF=√2*11^2 {ALL SIDES OF A CUBE ARE EQUAL}
DF=√2*121
DF=√242
DF=15.555
THEREFORE,OPTION B..
The answer is 12 divide 168 by 14 to get 12.
