20% Because $18.00 - $14.40 = $3.60
3.6/18 = 0.2 ---> 20%
Answer:
Step-by-step explanation:triangle P: 12, 24, and 30
triangle Q: 9, 40, and 41
triangle R: 5, 18, and 21
Which triangle is a right triangle? Explain your reasoning.
Answer:
- (x - 3y)(3x + y)
Step-by-step explanation:
Given
(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL
= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute
= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms
= - 3x² + 8xy + 3y² ← factor out - 1 from each term
= - 1(3x² - 8xy - 3y²) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.
product = 3 × - 3 = - 9 and sum = - 8
The factors are - 9 and + 1
Use these factors to split the xy- term
3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )
= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term
= (x - 3y)(3x + y)
Thus
(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)
Answer:
LM = 14
Step-by-step explanation:
LM = AC/2
LM = 28/2
<u>LM = 14</u>
Hope this helps!
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction
1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.
---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.
Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is
