For the point pleft parenthesis 5 comma 2 right parenthesis and qleft parenthesis 12 comma 7 right parenthesis, find the distance d(p, q) and the coordinates of the midpoint m of the segment pq.

The distance is which is approximately equal to 8.602 units

The midpoint is (8.5 , 5.5)

Explanation:

1- Getting the distance:

The distance between two points can be calculated using the following rule:

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

2- Getting the midpoint:

The midpoint of two points is calculated as follows:

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

Hope this helps :)

answer: the answer is c.

step-by-step explanation:

she’s dividing 1/3 of the flour into 2 jars.

hope this : )

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages