when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght s
1 answer:
You might be interested in
Based on the task content given; the initial fee and the fee per stop is $2 and $1.5 respectively.
<h3>Equation</h3>let
- Initial fee = x
- Fee per stop = y
x + 3y = 6.50
x + 7y = 12.50
- Subtract both equation to eliminate x
7y - 3y = 12.50 - 6.50
4y = 6
y = 6/4
y = 1.5
- Substitute y = 1.5 into
x + 3y = 6.50
x + 3(1.5) = 6.50
x + 4.5 = 6.50
x = 6.50 - 4.5
x = 2
Therefore, the initial fee and the fee per stop is $2 and $1.5 respectively.
Learn more about equation:
#SPJ1
Answer:
1) The slope-intercept and standard forms are and
, respectively.
2) The slope-intercept form of the line is . The standard form of the line is
.
3) The slope-intercept form of the line is . The standard form of the line is
.
4) The slope-intercept and standard forms of the family of lines are and
,
, respectively.
5) The slope-intercept form of the line is . The standard form of the line is
.
Step-by-step explanation:
From Analytical Geometry we know that the slope-intercept form of the line is represented by:
(1)
Where:
- Independent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
- Dependent variable, dimensionless.
In addition, the standard form of the line is represented by the following model:
(2)
Where ,
are constant coefficients, dimensionless.
Now we process to resolve each problem:
1) If we know that and
, then we know that the slope-intercept form of the line is:
(3)
And the standard form is found after some algebraic handling:
(4)
The slope-intercept and standard forms are and
, respectively.
2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that and
, then we construct the following system of linear equations:
(5)
(6)
The solution of the system is:
,
The slope-intercept form of the line is .
And the standard form is found after some algebraic handling:
(7)
The standard form of the line is .
3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that and
, then we construct the following system of linear equations:
(8)
(9)
The solution of the system is:
,
The slope-intercept form of the line is .
And the standard form is found after some algebraic handling:
(10)
The standard form of the line is .
4) If we know that and
, then the standard form of the family of lines is:
,
And the standard form is found after some algebraic handling:
,
(11)
The slope-intercept and standard forms of the family of lines are and
,
, respectively.
5) If we know that and
, then the y-intercept of the line is:
Then, the slope-intercept form of the line is .
And the standard form is found after some algebraic handling:
(12)
The standard form of the line is .