Recall the following identities:
from which we get
Since
is in the fourth quadrant
we know that
should be positive, so when we take the square root here, we should take the positive root.
Now recall that
and since
is in the fourth quadrant, we expect
to be negative. So,
One final identity:
from which we get
Answer:
E
Step-by-step explanation:
Answer:
Step-by-step explanation:
let the speed of Landon=x
speed of Eduardo=x+9
5x+5(x+9)=135
divide by 5
x+x+9=135/5=27
2x+9=27
2x=27-9
2x=18
x=18/2=9
speed of Landon=9 mph
speed of Eduardo=9+9=18 mph
Answer:
TU = 27
Step-by-step explanation:
We are given two secant segments that are drawn from a circle to meet at an exterior point of the circle. Thus, according to the secant secant theorem, the product of the measure of one secant segment and its external secant segment equals that of the product of the other and its external secant segment.
Thus:
VU*TU = VW*BW
Substitute
7(x + 4) = 9(-2 + x)
7x + 28 = -18 + 9x
Collect like terms
7x - 9x = -18 - 28
-2x = -46
Divide both sides by -2
x = -46/-2
x = 23
✔️TU = x + 4
Plug in the value of x
TU = 23 + 4
TU = 27