Answer:
Option b
Step-by-step explanation:
The equation
has center in (0,0).
But the transformation
shifts the center of the equation to the point (5, -6).
Therefore, when applying
we will have the following equation translated.
.
Simplifying we have:
Now we expand
and 

The equation of a circle has the form

For h = 1 and q = 1.
If
and
then the graph becomes an ellipse.
In this problem h = 4 and q = 5 therefore the figure is an ellipse
Answer:
u+v=7-7i
u-v=3+3i
Step-by-step explanation:
u+v
(5-2i)+(2-5i)
Put like terms together:
(5+2)+(-2i-5i)
Simplify:
7+-7i
7-7i
u-v
(5-2i)-(2-5i)
Distribute:
(5-2i)+(-2+5i)
Put like terms together:
(5-2)+(-2i+5i)
3+3i
Answer:
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
For this problem, you first have to make the denominators the same. You can use 100 in this example. You will have to multiply 1/10*10 which gives you 10/100. Then you add the numerator and denominator which is 60/100. Then you simplify to give you the answer of 3/5. I hope this helps you!
For part B
the fixed cost is 500 dollars because it is a set inital amount, the varibale cost is .15 because it is the cost dependent on something else (per indicated variable part)
y=.15x+500
.15 cents per flyer, add 500 because that is the set amount it costs to even create the flyer
Plug in 500 for the equation
y=.15(500)+500
y=75+500
y=575
for part a
b=ka for direct variations so the direct one is C - two items directly multiplied
y=mx+b for partial variation so its A,D - basically the equation of a line
A is neither - shows neither of these relationships