Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
Answer:
-1/4
1
-1/4
1
Step-by-step explanation:
Slope is obtained thus :
(y2 - y1) / (x2 - x1)
Slope ST :
S(1, 4) ; T(5, 3) ;
x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3
Slope ST = (3 - 4) / (5 - 1) = - 1 / 4
Slope TU :
T(5, 3) ; U(3, 1)
x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1
Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1
Slope UV :
U(3, 1) ; V(-1, 2)
x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2
Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4
Slope SV:
S(1, 4) ; V(-1, 2)
x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2
Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1
B. 1,147, I’m not quite sure
Solution:
For the first marble chosen by the player1,
The probability that the marble is red is 3/9=1/3
After that the second player chose without replacement, there are 8 marbles left, of which 6 are blue. So the probability of the second one being red is 6/8 = 3/4.
Since the question is asking the probability of both events happening,
So we have to multiply the two probabilities.
So the answer is (1/3) * (3/4) = 1/4.
