Answer:
a)
,
, b)
,
, c)
,
.
Step-by-step explanation:
The equation of the circle is:

After some algebraic and trigonometric handling:


Where:


Finally,


a)
,
.
b)
,
.
c)
, 
Where:


The solution is 
The parametric equations are:


Answer:
-1.2 cm
Step-by-step explanation:
Let's figure out where the ant is after each step.
Step 1
Start at +3.0
Move left <u> - 1.5
</u>
Now at +1.5
Step 2
Start at +1.5
Move right <u> + 4.9
</u>
Now at +6.4
Step 3
Start at +6.4
Move left <u> - 7.6
</u>
Now at -1.2
The ant is now at -1.2 cm.
There is little context to go off of but the answer should be variable
Answer:
Pecan cheesecake = $11
Strawberry cheesecake= $19
Step-by-step explanation:
To solve this, we will need to set up a system of equations:
Let's call "Pecan cheesecakes" 'x', and
"Strawberry cheesecakes" 'y'.
We can set up the equations once we have our variables:
276= 13x + 7y
295 = 13x +8y
We will need to subtract these equations from each other to get rid of the 'x' variable. This gives us:
295 = 13x+ 8y
-
276 = 13x+ 7y
19 = y
Therefore, Strawberry cheesecakes cost $19. Plug this into an equation to get the value of 'x':
276= 13x + 7(19)
276 = 13x + 133
143 = 13x
x= $11.
Therefore, Pecan cheesecakes cost $11.