Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
The anwser is c your welcome
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
<h3>What is
apothem?</h3>
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.
Using Pythagoras:
18² = a² + 9²
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
Find out more on apothem at: brainly.com/question/369332
Answer:
9 units²
Step-by-step explanation:
We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.
ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.
Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.
AR/AO = OP/PB
3(1/2)(AR)(AO) = (1/2)(OP)(PB)
PB = 6, OP = 3
3 x 3 = 9 units²
