The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
Answer:
see below
Step-by-step explanation:
To check your solution , plug the value of k into the original equation
6(7k-10) =24
k=2
6(7*2-10) =24
6(14-10) =24
6(4) =24
24=24
The solution is correct
Total people in the cafeteria = 7 + 48 + 45 = 100
There are 45 boys.
The probability would be the number of boys over the total number of people:
45/100, which simplifies to 9/20
5(3)-(-3)
15- (-3)
15+3 = 18