Find the distance between points p (-1,5) and q (3,4)

Distance = 4.123

Step-by-step explanation:

The given coordinates are P(-1,5) and Q (3,4)

- 1 = x1 = the horizontal coordinate(along the x axis) at P

3 = x2 = the horizontal coordinate (along the x axis) at Q

5 = y1 = vertical coordinate( along the y axis) at P

4 = y2 = vertical coordinate(along the y axis) at Q

The distance between points P and Q is expressed as square root of the sum of the square of the horizontal distance and the square of the vertical distance. It becomes

Distance = √(x2 - x1)^2 + (y2 - y1)^2

Distance = √(3 - - 1)^2 + (4 - 5)^2

Distance = √ 4^2 + (-1)^2

Distance = √16+1 = √17

Distance = 4.123

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.