Answer:
2/ 10^12
Step-by-step explanation:
see image below:)
Answer:
a - 8
Explanation:
7a−6+3−8a−(−2a+5)
Distribute the Negative Sign:
=7a−6+3−8a+−1(−2a+5)
=7a+−6+3+−8a+−1(−2a)+(−1)(5)
=7a+−6+3+−8a+2a+−5
Combine Like Terms:
=7a+−6+3+−8a+2a+−5
=(7a+−8a+2a)+(−6+3+−5)
=a + −8
Answer:
= a − 8
The two other transformations are the width of the parabola (vertical stretch or sink) and a reflection about the x-axis if the parabola becomes negative.
Step-by-step explanation:
I assume they intersect at a right angle (90°).
then the intersection is a rectangle with one side being 12 m, and the diagonal being 13 m long.
the diagonal is the Hypotenuse (baseline) of a right-angled triangle with the length and the width of the rectangle as legs.
so, by using Pythagoras we have
diagonal² = length² + width²
13² = 12² + width²
169 = 144 + width²
25 = width²
width = 5 m
so, Oakdale Avenue is 5 m wide.
Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
