Explain what a zero, or root, of a function is.
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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/);
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/
<u>Answer-</u>
Set of constraints to model the problem are,
<u>Solution-</u>
Let us assume,
x = the number of lawns weeded by Gwen,
y = the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,
They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.
An equation for this situation will be,
The number of dog walked by Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means y must be less than or equal to 2x.
An equation for this situation will be,
Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.
An equation for this situation will be,