Answer:


Step-by-step explanation:
<u>Completing the square</u>
when 
Given equation:

Subtract 40 from both sides:

Divide both sides by 3:

Add the square of half the coefficient of
to both sides:


Factor the left side and simplify the right side:

Square root both sides:

Add 4 to both sides and simplify the radical:



So this may not be 100% right they do it different in some schools but the way I do it is,
Two point Nineteen
In some cases it would be,
Two point Nineteenth
Answer:
The volume of the regular tetrahedron is 283.5 m³
Step-by-step explanation:
The formula of the volume of the regular tetrahedron is V =
A h, where
∵ The area of the base of a regular tetrahedron is 98.9 m²
∴ A = 98.9 m²
∵ The height of it is 8.6 m
∴ h = 8.6 m
→ Substitute them in the formula of the volume above
∵ V =
(98.9)(8.6)
∴ V = 283.5133333 m³
→ Round it to the nearest tenth of a cubic meters
∴ V = 283.5 m³
∴ The volume of the regular tetrahedron is 283.5 m³
Answer:
-1/4 , -1
Step-by-step explanation:
I solved it using Factorization method and Quadratic Equation .
Factorization Method

Quadratic Equation

Answer:
Brand A is the best buy.
Step-by-step explanation:
Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be 5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be 8.47/48 = $0.8 per pencil rounded up to the nearest tenth.Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.