Answer:
A) y = 1/3x + 4
B) y = 1/2x - 9
Step-by-step explanation:
A) In order to find this, we must first solve the initial equation for y to get the slope.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
Now we know the slope to be 1/3 since parallel lines have the same slope. So we take this slope and the point and use point-slope form to find the equation.
y - y1 = m(x - x1)
y - 5 = 1/3(x - 3)
y - 5 = 1/3x - 1
y = 1/3x + 4
B) To find this line, we again have to find the slope of the initial equation by solving for y.
2x + y = -4
y = -2x - 4
Now we know our new slope to be 1/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use this and the point to solve in the same way.
y - y1 = m(x - x1)
y - - 8 = 1/2(x - 2)
y + 8 = 1/2x - 1
y = 1/2x - 9
Answer:
1/5
Step-by-step explanation:
5 = 1/5
6= 1/6
1/6= 6/1 (or just 6)
5/6= 6/5
Do you see the pattern?
Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.
We can Add/Subtract 7 to the x-value or y-value of the point.
(10, 6)
(10 - 7, 6)
(3, 6)
(10 + 7, 6)
(17, 6)
(10, 6 - 7)
(10, -1)
(10, 6 + 7)
(10, 13)
The only point in the options is (3, 6).
Answer:
The ticket is bought for 28 students.
Step-by-step explanation:
It is given that the teacher is going to buy museum ticket for each students.
Total money spent = $182
Price of each ticket = $6.50
Let total number of tickets bought = 
We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) number of times.
OR
In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.
Total money spent = 
We know that total money spent is $182.
The ticket is bought for 28 students
Answer:
Step-by-step explanation:
Expression => | -2 |
Equation => 6 - 1 = 2 + 3
Inequality => 8^m > 64
