Answer:
P = 24
A ≈ 41.6
Step-by-step explanation:
The polygon is a regular hexagon, so the triangle shown is a 30-60-90 triangle. So the short leg of the triangle is 2, which makes the side length of the hexagon 4.
That means the perimeter is P = 4 × 6 = 24.
The area of a regular polygon is:
A = ½ aP
where a is the apothem and P is the perimeter.
A = ½ (2√3) (24)
A = 24√3
A ≈ 41.6
Answer:
Step-by-step explanation:
y + 9 = -5(x - 2)
y + 9 = -5x + 10
y = -5x + 1
Given:
The function is
To find:
The value of in simplified form.
Solution:
We have,
Putting , we get
Therefore, the simplified value of is .
Y=1/2x+2
The original slope is 2/4 so simplify making 1/2
Answer:
a. has one solution
b. infinite solution
Step-by-step explanation:
a.
2(x - 1) + 6 = 4x - 22
2x - 2 + 6 = 4x - 22
2x - 4x = 2 - 6 - 22
-2x = -26
x = 26/2
x = 13
b.
6(2x + 1) – 2 = 12x + 4
12x + 6 - 2 = 12x + 4
12x - 12x = 4 + 2 - 6
0 = 0