Answer:
Option A. y = –2x + 27
Step-by-step explanation:
y – 7 = ½(x + 2)
We'll begin by calculating the slope of the equation above. This can be obtained as follow:
y – 7 = ½(x + 2)
Clear bracket
y – 7 = ½x + 1
Rearrange
y = ½x + 1 + 7
y = ½x + 8
Comparing
y = ½x + 8
with
y = mx + c
The slope (m) = ½
Next, we shall determine the slope (m2) of the equation perpendicular to the line. This can be obtained as follow:
For perpendicularity,
m1 × m2 = –1
m1 = ½
½ × m2 = –1
m2 /2 = –1
Cross multiply
m2 = 2 × –1
m2 = –2
Therefore, the slope of the equation perpendicular to the line is –2
Finally, we obtained the equation of the line as follow:
Coordinate = (6, 15)
x1 coordinate = 6
y1 coordinate = 15
Slope (m) = –2
y – y1 = m(x – x1)
y – 15 = –2(x – 6)
Clear bracket
y – 15 = –2x + 12
Rearrange
y = –2x + 12 + 15
y = –2x + 27
Therefore, the equation is y = –2x + 27
Answer:
0.036
Step-by-step explanation:
Number of wheels = 3
Total number of symbols on each wheel = 10
number of skulls = 4
number of Lemons = 3
number of cherries = 2
number of bell = 1
<u>Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent </u>
P(of getting Lemon, cherry and berry ) = 6 * P( lemon , cherry , Bell )
= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )
= 0.036
Y=-3/4.5-3. You can get this by plotting the points on a graph and using the rise(how far up it goes) over run(how far right) to find the Slope, then plugging in the Y-intercept.
Answer:-1/9,1/27,-1/81
Step-by-step explanation:
We are dividing by -3 each time.
3/-3=-1
-1/-3=1/3
1/3÷-3=-1/9
-1/9÷-3=1/27
1/27÷-3=-1/81