sierra king is a nail technician. She allots 20 minutes for a manicure and 45 minutes for a pedicure in her 7-hour work day. no more than 5 pedicures can be scheduled each day. The prices are 25$ for a manicure and 45$ for a pedicure. If she must schedule both procedures, how many of each should Ms. King schedule to maximize her daily income? What is her maximum daily income?

where is the graph, sweetheart?

step-by-step explanation:

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

your answer is option c.

it will take 9 minutes