The option which best describes the meaning of the term theorem is <span><u>B. A conclusion proved by deductive reasoning.
</u>A refers to hypothesis, C to an axiom, and D to a definition. <u>
</u></span>
Answer:
3(a - b)(a + b)
Step-by-step explanation:
Factorize: (2a - b)² - (a - 2b)²
- Different of Perfect a Square rule: a² - b² = (a + b)(a - b)
(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]
1. Distribute and Simplify:
Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)
Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)
We now have:
(3a - 3b)(a + b)
2. Factor out the Greatest Common Factor (3) from 3a - 3b:
(3a - 3b) → 3(a - b)
3. Add "(a + b)" back into your factored expression:
3(a - b)(a + b)
Hope this helps!
You may find it easiest if you convert all the fractions to decimal form:
5.433...
5.166...
5.756
Now reorder these from smallest to largest.
Note: I had to guess that by "68,90," you actually meant "68/90."
(1, 9) and (11,1)
slope
= (9 - 1)/(1 - 11)
= 8 /-10
= -4/5
= - 0.8
answer
slope = - 0.8
Answer:
The volume of solids is measured in cubic measurements.
Step-by-step explanation:
Examples:
Volume of a cube: V = a^3
Volume of a sphere: 4/3 x pi x r^3
Volume of a triangle: 1/2 x b x h x l
For instance, a sphere with the radius of 5 feet:
4/3 x pi x 5^3 = V
V = 523.6 cubic feet