Answer:
{(-14,9),(4,-7),(-8,6)}.
Step-by-step explanation:
To find the inverse you just swap x and y.
So if (a,b) is a point on the relation then (b,a) is on it's inverse.
So the inverse of {(9, –14), (–7, 4), (6, –8)} is:
{(-14,9),(4,-7),(-8,6)}.
The answer is -16 - 10i.
Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)
Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²
Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
Answer:
O is the center of the circle with radius IE(=ID=EF)
Step-by-step explanation:
Join all 3 points D, E, F, forming the triangle DEF.
Let the midpoint of EF be M and the midpoint of ED be N. (first picture)
Join point I to E, D and F.
Since IN is both an altitude and median to triangle EID, then triangle EID is an isosceles triangle, and IE=ID
similarly, we see that IE=IF.
conclusion: IE=ID=EF.
Answer:
C) 0.179
Step-by-step explanation:
Since the trials are independent, this is a binomial distribution:
<u>Recall:</u>
- Binomial Distribution -->
denotes the probability of 
successes in 
independent trials
denotes the probability of success on each of trials
denotes the probability of failure on the remaining 
trials
denotes all possible ways to choose things out of things
<u>Given:</u>
<u>Calculate:</u>
Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179
