We have that
x²<span>-2x-(2p+3)
if </span><span>-4 is a zero of the polynomial
so
for x=-4
</span>x²-2x-(2p+3)=0----> (-4)²-2*(-4)-(2p+3)=0-----> 16+8-2p-3=0
21-2p=0
2p=21
p=21/2-----> p=10.5
I think of these in terms of "short side", "long side" and "hypotenuse." The proportions will be true that equate the ratios of corresponding sides.
I is (long side of CDB)/(short side of CDB) = (long side of BDA)/(short side of BDA)
These are corresponding sides, so the proportion is <em>true</em>.
II is (hypotenuse of CBA)/(long side of CBA) = (long side of CBA)/(hypotenuse of CBA)
This proportion equates a value to its inverse, so is <em>false</em> (since the triangle has non-zero area)
III is (long side of CBA)/(short side of CBA) = (hypotenuse of CBD)/(long side of CBD)
The sides involved here are not corresponding, so this is <em>false</em>.
IV is (long side of CDB)/(hypotenuse of CDB)/(long side of BDA)/(hypotenuse of BDA)
These are corresponding sides, so the proportion is <em>true</em>.
The appropriate choice is ...
... a. I and IV only
Answer:
Step-by-step explanation:
The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.
First, find the LCD. That is 12.
1/3 = 4/12
1/4 = 3 /12
4/12 + 3/12 + 7/12
The entire angle is 165, and since one part is 90 the other will be the difference
165-90=75
the answer is 75