Answer:
(0,-3) will give the maximum value
Step-by-step explanation:
To know the vertex, we have to substitute the coordinates in the options
we have this as follows
a) (1.5,0)
T = 1.5-3(0) = -1.5
b) (3.5,4)
T = 3.5 - 1)4)
= 3.5 - 4 = -0.5
c) (0,-3)
we have
T = 0-3(-3) = 0 + 9 = 9
d) (0,4)
we have this as:
T = 0 - 3(4) = -12
A. 2 and 8
It’s the pair of angles on the outer side of each of those two lines but on opposite of the transversal.
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>
