Answer: 4
Step-by-step explanation: Slopes that are perpendicular to each other are opposite reciprocals. So take the opposite of the sign, negative or positive. Then flip the numerator and the denominator. -1/4 goes to +1/4 goes to +4. Hope this helps!
Step-by-step explanation:
<h3><u>Given</u><u>:</u><u>-</u></h3>
(√3+√2)/(√3-√2)
<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>
<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>
<h3><u>Solution</u><u>:</u><u>-</u></h3>
We have,
(√3+√2)/(√3-√2)
The denominator = √3-√2
The Rationalising factor of √3-√2 is √3+√2
On Rationalising the denominator then
=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]
=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]
=>(√3+√2)²/[(√3-√2)(√3+√2)]
=> (√3+√2)²/[(√3)²-(√2)²]
Since (a+b)(a-b) = a²-b²
Where , a = √3 and b = √2
=> (√3+√2)²/(3-2)
=> (√3-√2)²/1
=> (√3+√2)²
=> (√3)²+2(√3)(√2)+(√2)²
Since , (a+b)² = a²+2ab+b²
Where , a = √3 and b = √2
=> 3+2√6+2
=> 5+2√6
<h3><u>Answer:-</u></h3>
The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.
<h3>
<u>Used formulae:-</u></h3>
→ (a+b)² = a²+2ab+b²
→ (a-b)² = a²-2ab+b²
→ (a+b)(a-b) = a²-b²
→ The Rationalising factor of √a-√b is √a+√b
Answer:
The system will be inconsistent.
Step-by-step explanation:
We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.
Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix A.
Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.
That equals 2 sweetheart. Your not dumb at all everyone has the potential
Answer:
a = 32
Step-by-step explanation:
This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths
68^2 = 60^2 + a^2
4624 = 3600 + a^2
4624 - 3600 = a^2
1024 = a^2 find the root for both sides
32 = a
