Given:
The equation is:

Find-:
Binomials factor of the equation
Explanation-:
The quadratic equation,

Solve for factor

Then the factor is:

So, the factor is x + 4
Answer:
6 - Not similar
7 - Similar, 2x factor
8 - Similar, 3x factor
9 - Similar, 3x factor
10 - Not similar
11 - Similar, 5/3x factor
12 - x = 15
y = 25
z = 115
Step-by-step explanation:
Answer:
29.42 units
Step-by-step explanation:
<u>1) Find the perimeter around the semi-circle</u>
To do this, we find the circumference of the circle using the given diameter:
where d is the diameter
Plug in 6 as the diameter

Divide the circumference by 2

Therefore, the perimeter around the semi-circle is 3π units.
<u>2) Find the perimeter around the rest of the shape</u>
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>

Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
Answer:
1/2
Step-by-step explanation:
cos(θ) = √(1 -sin(θ)²) = √(1 -3/4) = √(1/4)
cos(θ) = 1/2