Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary

Step-by-step explanation:

Distance between two points and is given by the formula,

Distance =

a). A(-6, -4), B(-3, -1)

Distance between A and B =

                                             =

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D =

                                              =

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance =

                    =

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

can i see the following ?

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.