Find the vertex form
y = (x + 6)^2 - 45
Answer:
y = -(6+3x)/2
Step-by-step explanation:
♪\(*^▽^*)/\(*^▽^*)/
Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle =
= 51.43°
Now,
Central angle / 2 =
= 25.71°
And
height =
= 1.038
Now,
Inner area of gazebo = 7·
·1·(1.038) = 3.634 unit²
Outer area of gazebo = (
)²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
Answer:
A and B
Step-by-step explanation:
Given
List of given options
Required
Which will correctly take 3 to fill the blank
Represent the blanks with x
Option A:

Convert to fractions

Multiply through by 4



Option B:

Convert to fraction;

Multiply through by 15




Option C:

Convert to fraction


Option D

Convert to fraction

Cross Multiply


Divide through by 3

From the above calculations.
<em>Option A and B can be filled with 3</em>