See attachment file below.
Answer:
x = - 8, x = - 4
Step-by-step explanation:
x² + 12x + 32 = 0 ← in standard form
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
The radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit
<h3>How to determine the radius of the circle?</h3>
The circle equation of the graph is given as:
(x + 3/8)^2 + y^2 = 1
The general equation of a circle is represented using the following formula
(x - a)^2 + (y - b)^2 = r^2
Where the center of the circle is represented by the vertex (a, b) and the radius of the circle is represented by r
By comparing the equations (x - a)^2 + (y - b)^2 = r^2 and (x + 3/8)^2 + y^2 = 1, we have the following comparison
(x - a)^2 = (x + 3/8)^2
(y - b)^2 = y^2
1 = r^2
Rewrite the last equation as follows:
r^2= 1
Take the square root of both sides of the equation
√r^2 = √1
Evaluate the square root of 1
√r^2 = 1
Evaluate the square root of r^2
r = 1
Hence, the radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit
Read more about circle equation at:
brainly.com/question/1559324
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Fact #1:
A cube has six faces.
Fact #2:
Every one of them has the same area.
Fact #3:
The surface area of each face is (the length of the cube's side)²
Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3. (But you can keep the others and save them for later.)
The surface area of each face is (the length of the cube's side)²
64 is the (length of the cube's side)²
Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.
Hint: If you don't get ' 8 ', work on it a little more.
