Answer:
r = 
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use 
to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get 
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get 
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides 
to get r =
The last one is the good one.
The point slope formula is,
Where,
And,
So,
Answer:
Dalton spent 6 years and 11 months in high school.
Step-by-step explanation:
Dalton were in high school at the age = 11 years and 3 months He left high school at the age = 18 years and 2 months
Time spent by Dalton in high school = 18 years 2 months - 11 years and 3 months
= (18 - 11) years and (2 - 3) months
= 7 years - 1 month
= (6 + 1) years - 1 month
= 6 years + 1 year - 1 month
= 6years + 12 months - 1 month
= 6 years + 11 months
Therefore, Dalton spent 6 years and 11 months in high school.
Answer:
(1,4) and (1,0)
Step-by-step explanation:
These have the same first coordinate and different second coordinates, meaning that it cannot be a function. For it to be a function, the x coordinates have to be different numbers.
Answer:
2
Step-by-step explanation:
Step 1. <em>Find a coterminal angle that falls be 0 and 2π.
</em>
Remember that cscθ is a periodic function. It repeats every 2π radians.
If n is an integer, cscθ = csc(θ ± 2πn)
csc(17π/6) = csc(12π/6 + 5π/6)
= csc(2π + 5π/6)
= csc(5π/6)
Step 2. <em>Use the unit circle to evaluate cscθ.
</em>
cscθ = 1/sinθ
Let θ = 5π/6
In a unit circle (below), the sine of an angle is y.
sinθ = ½
cscθ = 1/sinθ
= 1/(½)
= 2
