A party host organizes a scavenger hunt for the guests. Each guest receives a map with different landmarks' locations. The azalea garden is at (1,1). the tree house is at (7, 1), and the tennis court is at (4,9).
If the tennis court is the same distance from the azalea garden and from the tree house, what is the area of the triangle formed by these three
landmarks?
12 square units
23.1 square units
24 square units
25.6 square units

answer: i think it is (1,-2)

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c