Parallel lines have the same slope. This means that they will never intersect each other. The only thing that is different is their b value (the constant). So we first have to figure out what the slope is for line B; and we will find the slope of line B because the slope of line B is equal to the slope of line A.
To find the slope of a line, we must use the following equation: y2-y1/x2-x1. This may seem difficult at first but it really isn’t. All you have to do is find two points that at are on the line of line A. Two points are (0,0) and (1,2). You can now use the forumla I’ve written down. x1 is 0, y1 is 0, x2 is 1, y2 is 2. Now we do the following:
(2-0/1-0) = 2/1; 2. This means that the slope is 2. We already know what b is (the constant) because the coordinate (0,-3) is already there. Which means the answer to your question is : 2x-3
4( y-3) +9y is equal to:
Using ditributive property,
4 * y = 4y
4 * 3 = 12
Its equal to:
4y - 12 + 9y
Its also equal to:
9y + 4y = 13y
13y - 12
Answer:
- What is the mathematical relationship between I and r?
They are in direct proportion or are directly proportional to each other.
- Between I and t? They are in direct proportion or are directly proportional to each other, too.
- Why are these relationships important to you ? Because they tell you how much the interest that you will owe will grow as the rate (r) or the time (t) increase.
Explanation:
- As given, the interest follows the mathematical relation I = Prt
- In mathematics, two variables are in direct proportional or, what is the same, the variables are directly proportional, if one variable is always the product of the other variable and some constant.
- To state the relation between two variables you say that the other parts on the equation (in this case the amount borrowed, P) are held constant. So, in order to tell the relation between I and r you assume P and t are constant, that leaves you with the relation:
I = r × constant, which is the definition of direct proportion.
The same happens when you assume that P and r are constant:
I = t × constant, meaning, again, that I and t are directly proportional.
- In conclusion, in both cases, the interest that you will owe will increase in a proportional way as the rate or the time increase: if the time is doubled or tripled, the interest will be doubled or tripled. In the same way, if the rate is doubled or tripled the interest will be doubled or tripled.
That is how direct proportion works: one variable is multiplied by the same factor that the other variable is.
Answer:
.3
Step-by-step explanation:
let x= P(f)
.65= .55+x-.2
P(F)=.3