Jeremiah went to the grocery store and bought a soda for $2 and 6 sandwich costing, x dollars. the tax on the food was a 25% increase to the food. a) expression: b) if each sandwich cost $5, how much does jeremiah pay in total?

A) Let's first consider the effect of the tax:

  total payment = (food cost) + 25% × (food cost) = (1 + 0.25)×(food cost)

If the cost of a sandwich is x dollars, the cost of 6 sandwiches will be 6 times that, or 6x dollars. When the $2 cost of the soda is added, we get ...

  food cost = 2 + 6x

Putting this into the equation for total payment, we find the expression to be ...

  total payment = 1.25(2 +6x)

B) Evaluating the expression for part A with x=5, we get ...

  total payment = 1.25(2 +6·5) = 1.25·32 = 40 . . . . dollars

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