Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒
⇒
⇒
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are
and
.
Then, the factorized form of the polynomial is:
.
The, the solution to the system of equations is:
and
.
Answer:
I think so, but maybe if the schools are different they change.
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then


where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy
.
For x=0, check which equation has y=0.
In option A,
.
In option B,
.
In option C,
.
In option D, 
Only in option C, we have a equation of the form
with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.