Answer:
D
Step-by-step explanation:
You are given two complex numbers -i and 2+i.
For the complex number z=x+iy, the ordered pair (x,y) represents this complex number on the coordinate plane.
So, the numbers:
is represented by the ordered pair (0,-1)
is represented by the ordered pair (2,1).
Plot these two points on the coordinate plane and coonect them with a straight line. You'll get the last option of graph.
Answer:
84 feet
Step-by-step explanation:
3*7=21
12*7=84
im bad at explaining, but your current answer correct
Remember that the equation of a circle is:

Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

Complete the square. We must do this for x² - 6x and y² - 10y separately.
x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9
Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.
y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

Factor y² - 10y + 25 to get (y - 5)²

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)
Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
Answer:

Step-by-step explanation:
<u>Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:

It can be found by substituting g into f.
We are given the functions:
f(x) = -x + 3
g(x) = -x -1
Find

Removing parentheses:

Simplifying:

Answer:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Step-by-step explanation:
Given:
Number of fruits cans = 24
Number of veggies cans = 60
William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.
For this:
We have to find the GCF (greatest common factor) of 24 and 60.
GCF by listing out the factors method.
Factors of 24 :
Factors of 60 : 
So,
The greatest common factor of
and
is
.
The number of bags William will used for equal distribution = 
Now,
We have to distribute the veggies and fruits in equal number of cans to these
bags.
Number of fruits cans used in each bag =
Number of vegetables can used in each bag = 
We can say that:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.