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 =
Divide the time he traveled by the distance to find how fast he travels 1 mile, then multiply that by 5 miles:
12 minutes / 2 miles = 6 minutes per mile.
6 minutes per mile x 5 miles = 30 total minutes.
The baby blue whale weighs 30 pounds, since 120 divided by 40 is 30.
Answer:
x
8
−
256
Rewrite
x
8
as
(
x
4
)
2
.
(
x
4
)
2
−
256
Rewrite
256
as
16
2
.
(
x
4
)
2
−
16
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
4
and
b
=
16
.
(
x
4
+
16
)
(
x
4
−
16
)
Simplify.
Tap for more steps...
(
x
4
+
16
)
(
x
2
+
4
)
(
x
+
2
)
(
x
−
2
)
Step-by-step explanation:
Answer:
Answer = 126 square inches
Step-by-step explanation:
Square area formula is Area = s^2 (replace the s with the side length)
Square area --> Area = 4^2 Area = 16in
Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)
Parallelogram area --> Area = 3.5 * 10 Area = 35
Rectangle area formula is Area = w * h (replace width and height)
Rectangle area --> Area = 12.5 * 6 Area = 75
Then add them all up 75 + 35 + 16 = 126 square inches
