X= -1/3 Because the perpendicular lines always have a opposite reciprocal meaning if a slope is Positive it turns negative and the denominator becomes the numerator ex.3 is the same as 3/1 and the opposite of that would be 1/3 and if the slope is negative then the opposite reciprocal will be positive and with the denominator becoming the numerator
Answer:
Step-by-step explanation:
So we have the system of equations:
And we want to multiply the first equation by some constant such that the resulting equation matches the coefficient of [x] in the second equation.
We can see that the coefficient of x in the second equation is 15.
So, to match 15, we must multiply the first equation by 3. So:
Multiply:
And we're done!
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
