Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
5a + 5b
Simplify ———————
a2 - b2
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
5a + 5b = 5 • (a + b)
Trying to factor as a Difference of Squares:
2.2 Factoring: a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (a + b) • (a - b)
Canceling Out :
2.3 Cancel out (a + b) which appears on both sides of the fraction line.
Final result :
5 / a -b
Step-by-step explanation:
Associative property works in addition and multiplication.
Associative property in Addition: (a + b)+ c = a + (b + c)
Associative property in Multiplication: (a x b) x c = a x (b x c)
Associative property in Subtraction: (a - b) - c is not equal to a - (b - c)
Associative property in Division: (a divided by b) divided by c is not equal to a divided by (b divided by c).
Thus, associative property is not true for all integers.
Answer:
6.5 × 10¹¹
Step-by-step explanation:
I hope this helps you
Answer:
1649.33 units³
Step-by-step explanation:
Let the height and the radius be known as "h" and "r" respectively.
<u>Formulae(s):</u>
- Volume of cylinder: πr²h
- Volume of cone: πr²h/3
Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,
- ⇒ πr²h = 3(πr²h/3)
- ⇒ πr²h = πr²h (True)
<u>Determining the volume of the cylinder;</u>
- ⇒ Volume of cylinder = Volume of cone × 3
- ⇒ Volume of cylinder = 175π × 3
- ⇒ Volume of cylinder = 525π
- ⇒ Volume of cylinder = 1649.33 units³ (2 d.p)
Therefore, the volume of the cylinder is 1649.33 units³.
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