Uhh, answer choices?
In any case, since 
is inscribed in a semicircle, it is a right triangle (due to the inscribed angle theorem). Thus, by the Pythagorean theorem, 
Now, the circumradius of a right triangle (the radius of the circle passing through all three of its vertices) is simply half its hypotenuse, so 
Answer:
Question A is D and Question B is B
2
2x
2
+5x−12
1 Split the second term in
2
x
2
+
5
x
−
1
2
2x
2
+5x−12 into two terms.
2
x
2
+
8
x
−
3
x
−
1
2
2x
2
+8x−3x−12
2 Factor out common terms in the first two terms, then in the last two terms.
2
x
(
x
+
4
)
−
3
(
x
+
4
)
2x(x+4)−3(x+4)
3 Factor out the common term
x
+
4
x+4.
(
x
+
4
)
(
2
x
−
3
)
(x+4)(2x−3)
1,019,013
You could use a calculator to add these. If doing it by hand just be sure to carry the 1 in just about every case.
Answer: C. -4 percent
Step-by-step explanation:
<u>Nominal interest rate</u> is the interest rate before taking inflation into account.
<u>Real interest rate</u> takes the inflation rate into account.
The equation that links all three values is
nominal rate - inflation rate = real rate
6 - 10 = -4
-4 percent
