Achemist is researching different sustainable fuel sources. she is currently working with benzene, which must be in liquid form for her to successfully conduct her research. the boiling point of benzene is 176* f, and the freezing point is 42* f.

part a write an inequality to represent the temperatures the benzene must stay between to ensure it remains liquid.

part b describe the graph of the inequality completely from part a. use terms such as open/close circles and shading directions. explain what the solution to the inequality represent.

part c in february, the buildings furnace broke and the temperature of the building fell to 20* f. would the chemist have been able to conduct her research with benzene on this day. why or why not?

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

28

step-by-step explanation:

because that's the answer

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