Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Notice the picture below
x = 1 and y = -1
now... recall your SOH CAH TOA

now.. what's the value for "r" or the radius? well, using the pythagorean theorem
14, 10, 2, 5, 8, 12, 12, 3, 2, 2, 13, 15, 6 Find the median
hoa [83]
Answer:
10
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
so we know that its a right triangle and 8 and
are not the hypotenuse.
the equation for this is
+
=
with c being the hypotenuse.
+
=
64+17=
81=c
=c
9=c
The actual length :
26.8 * 0.5 = 13.4 meters
The actual width :
12.2 * 0.5 = 6.1 meters
The actual area of the court:
13.4 * 6.1 = 81.74 meters square
Hope that helps you