What is the distance between the following points?

  (c)  √65

Step-by-step explanation:

If you draw a line segment between the points, you can see that it makes a triangle with the grid lines. The segment you drew is the hypotenuse of a right triangle that is 1 unit wide and 8 units high. The Pythagorean theorem tells you the length of that hypotenuse is ...

  length = √(1² +8²) = √(1 +64)

  length = √65

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