Because v1 x v2 + v2 x (-v1) = v1 x v2 - v2 x v1 = v1 x v2 - v1 x v2 = 0, vector (v1,v2) is orthogonal to (v2,-v1);
Let (a,b) be an unit vector orthogonal to (9,40);
So, a^2 + b^2 = 1 and a x 9 + b x 40 = 0;
Then, a = - 40 x b / 9;
Finally, 160 x b^2 / 81 + b^2 = 1;
160 x b^2 + 81 x b^2 = 81;
241 x b^2 = 81;
b^2 = 81 / 241;
b = + or - 9/
a = + or - 40/
We have (+40/
;9/
) and (-40/
;-9/
);
Answer:
Real and Rational
Step-by-step explanation:
Given number:
To classify the given number as, real, irrational, rational, integer, whole and natural.
Solution:
Simplifying the given number:
⇒ 
[As 
]
⇒ 
[Evaluating square roots]
⇒ 
[Reducing fractions by dividing numerator and denominator by GCF of them]
⇒ 
Thus is equivalent to
We can say the given number is a rational number as it represents a fraction of two integers.
It is also a real number as all numbers are real.
The answer is $138.98 Dollars
Answer:
Step-by-step explanation:
To solve this correctly, you need to make sure to distribute the negative onto both terms in the second parentheses.
So fully expanded, the problem would be:
2y² + 8y -7 + 3y - 3 = ?
You can easily rearrange the terms, or just do it in your head!
It would become:
2y² + 8y +3y -7 -3
= 2y² + 11y -10
Make sure you keep the terms with different variables separate! I hope this is helpful!
The only common factors they have is
