Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
<h2>
Answer:</h2>
1/2
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- The school football team has a match tomorrow
- The probability of the team winning is 1/6
- The probability of the team drawing is 2/6
<h3>
Asked :</h3>
- The probability of the team losing
<h3>Solution :</h3>
Probability of the team losing the match = 1 - 1/6 - 2/6
Probability of the team losing the match = 6/6 - 1/6 - 2/6
Probability of the team losing the match = 3/6
Probability of the team losing the match = 1/2
<h3>Conclusion :</h3>
The probability of the team losing the match is 1/2
Answer:
B
Step-by-step explanation:
45-45-90 rt. triangle
