We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1
in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2
in the triangle QTR
TQ²=TR²+36-----------> equation 3
<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
TS=6√6 units
the answer is
TS=6√6 units
<span>6 is the square root of 6 units</span>
Answer:
It's A) 2b+24x
Step-by-step explanation:
Which statements are true about the ordered pair <span>(−1, 5)</span> and the system of equations?
<span>{<span><span>x+y=4 </span><span>x−y=−6</span></span></span>
Select each correct answer.
<span>The ordered pair <span>(−1, 5)</span> is a solution to the first equation because it makes the first equation true.The ordered pair <span>(−1, 5)</span> is a solution to the second equation because it makes the second equation true.The ordered pair <span>(−1, 5)</span> is not a solution to the system because it makes at least one of the equations false.The ordered pair <span>(−1, 5)</span> is a solution to the system because it makes both </span>
