In the coordinate plane shown, how far apart are points b and d? explain how you can use the pythagorean theorem to determine this.

10.3 units

Step-by-step explanation:

From the given graph, we can see the coordinates of the points B (-2, 4) and D (3, -5).

To use the Pythagorean Theorem, we must have a right angled triangle. So we can select a point X (3, 4) to calculate the distance between B and D using the Pythagoras Theorem.

BX = 5, XD = 9

BD =

BD =

Therefore, the points B and D are 10.3 units apart.

l.ln.lln.k.nkl

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b