when we have an undefined slope, it means simply is a vertical line, check the picture below.
Answer:
y = -3x + 5
Step-by-step explanation:
You want it in y = mx + b form
-5 = -y - 3x
Add y to both sides
-5 + y = -y + y - 3x
-5 + y = -3x
Add 5 to both sides
- 5 + 5 + y = -3x + 5
y = -3x + 5
Answer:
32 orange marbles.
Step-by-step explanation:
First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.
This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.
You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,
and 8 × 4 = 32.
It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.
So:
3/4 = 24/O
Red marbles / orange marbles = red marbles / orange marbles.
(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).
3O = 96
÷3 ÷3
O [orange marbles] = 32
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 52 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 20% of the output value, so we can write it down as x=20%.
5. Now we have two simple equations:
1) 52=100%
2) x=20%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
52/x=100%/20%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 20% of 52
52/x=100/20
(52/x)*x=(100/20)*x - we multiply both sides of the equation by x
52=5*x - we divide both sides of the equation by (5) to get x
52/5=x
10.4=x
x=10.4
now we have:
20% of 52=10.4
Step-by-step explanation: