Answer:
The equation of required line is: 
Step-by-step explanation:
We need to write equation in the form Ax+By+C=0 of the line parallel to 
and through the point (-2,3)
First we need to find slope and y-intercept of the required line.
Using equation of line to find slope.
Since the given line and required lines are parallel there slope is same.
Writing equation in slope intercept form: 
where m is slope.
So, the slope m = 5/8
The slope of required line is 
Now finding y-intercept using slope and point(-2,3)
So, the equation of required line having slope and y-intercept 
So, The equation of required line is:
Answer:
Vertical distance between the valley and the summit = 8062.5 ft
Step-by-step explanation:
Distances above the sea level are denoted by positive notations and below the sea level by negative notation.
Summit of a mountain pass = 8050 (above the sea level)
Valley below the sea level = 12 and half ft = (-12.5) ft
Distance between the summit and the valley = 8050 - (-12.5)
= 8050 + 12.5
= 8062.5 ft
Therefore, Vertical distance = 8062.5 ft will be the answer.
Give a counterexample to disprove the statement all squares are congruent
Answer:
Empirical formula
0.34
0.33
0.33
A^c = event B or event C
Step-by-step explanation:
A = roommate A wins the game
P(A) = (Rock A and Scissors B) + (Scissors A and paper B) + (paper A and rock B)
P(A) = (0.36*0.53) + (0.32*0.25) + (0.32*0.22) = 0.3412
C = game ends in a tie :
P(C) = (RockA and rockB) + (ScissorsA and ScissorsB) + (ScissorsA and ScissorsB)
P(C) = (0.36*0.22) + (0.32*0.53) + (0.32*0.25) = 0.3288
P(B) = 1 - P(A) - P(C)
P(B) = 1 - 0.3412 - 0.3288
P(B) = 0.33
Complement of event A =event B or event C
2 times 3 times 4 times 4 times 5 equals 480
