Translate the following into an algebraic expression: if mr. david does a job in x hours and mr. ludwig in y hours. what part of the job they could do together if they worked for k hrs?

For this case we have the following variables:

x: number of hours that it takes Mr. David to complete a job working alone.

y: number of hours it takes Mr. Ludwing to complete a job working alone.

k: number of hours it takes for both of them to do a job working together.

We now write the equation that models the problem.

To do this, we must add the work rate per hour of each and equal to the rate of work per hour of both.

We have then:

The algebraic expression that models the problem is:

ιт 45,000 мєтєяѕ тσ ℓαѕ νєgαѕ

нσρє ι ¢συℓ∂ нєℓρ

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough