Answer:

Step-by-step explanation:
Slope Formula: 
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:




Answer:

Step-by-step explanation:
Given

Required
Determine the probability of 6 different lower case letters <em>(Question continuation)</em>
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There are 26 lower case letters.
The first can be any of letters 26
The second can be any of letters 26 - 1
The third can be any of letters 26 - 2
The fourth can be any of letters 26 - 3
The fifth can be any of letters 26 - 4
The sixth can be any of letters 26 - 5
Number of selection is:



The probability is:



<em></em>
<em> --- approximated</em>
Answer:
(−1.5,1)
Step-by-step explanation:
Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (6,7) and p2 (-9,-5)
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (-9-6)2+(-5-7)2
d = √ ((-15)2+(-12)2)
d = √ (225+144)
d = √ 369
The distance between the points is 19.2093727122985
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(6+-9)/2=-1.5
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(7+-5)/2=1
The midpoint is: (-1.5,1)
Answer:
X = -8 and X = 2
Step-by-step explanation:
X^2 + 6X - 6 = 10
Bring the 10 over:
X^2 + 6x - 16 = 0
From here, either use the quadratic formula or
manual factorization by finding its roots:
Manually:
(X + 8)(X - 2) = 0
Equate each factor to 0 you will get:
X + 8 = 0 and X - 2 = 0
Solutions are -8 and 2 respectively.
Answer:
1250
Step-by-step explanation:
50+5x
How many months in 20 years
20x12
240
50+5(240)