Answer:
The transformation is (x,y) to (x-2,y-6)
Step-by-step explanation:
First of all, we note the coordinates of the point G
The coordinates of the point G is (2,6)
To bring this to the origin, we are looking at bringing it to the point (0,0)
To do this, we subtract 2 from the x-value and 6 from the y value
So what we have is that;
(x-2) and (y-6)
(x-2, y-6)
Answer:
C and D
Step-by-step explanation:
i=√-1
n/4=x.5
since 2 is the remainder
n=2x
then i^n=i^2x
when x is even, i^n =1
when x is odd, i^n=-1
Problem 1
Draw a straight line and plot P anywhere on it. Use the compass to trace out a faint circle of radius 8 cm with center P. This circle crosses the previous line at point Q.
Repeat these steps to set up another circle centered at Q and keep the radius the same. The two circles cross at two locations. Let's mark one of those locations point X. From here, we could connect points X, P, Q to form an equilateral triangle. However, we only want the 60 degree angle from it.
With P as the center, draw another circle with radius 7.5 cm. This circle will cross the ray PX at location R.
Refer to the diagram below.
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Problem 2
I'm not sure why your teacher wants you to use a compass and straightedge to construct an 80 degree angle. Such a task is not possible. The proof is lengthy but look up the term "constructible angles" and you'll find that only angles of the form 3n are possible to make with compass/straight edge.
In other words, you can only do multiples of 3. Unfortunately 80 is not a multiple of 3. I used GeoGebra to create the image below, as well as problem 1.
Answer:
The domain of a function is defined as the set of x-values for which the function is real and defined. The first alternative is correct
Step-by-step explanation:
rank | 1st | 2nd |TOTAL
------|-----+-------|----------
a | 6 + 9 | =15
b | 7 + 3 | =16
c | 9 + 7 | =23
d | 6 + 7 | =22
e | 8 + 1 | =?
If you add the 1st in line a (6) and you add it to the 1st in line b (7) + the 2nd in line b (3) you get 16. Repeat the same logic/pattern to all c,d..
This is the pattern to all this puzzle;
So the before last term is : 9+6+7 = 22
and the last term : 6+8+1 = 15