Answer:
- 9 1/4
Step-by-step explanation:
Get a common denominator for the fractions
-5 3/4 - 3 1/2 *2/2
-5 3/4 - 3 2/4
-5 3/4 + -3 2/4
Add them together
-8 5/4
We have an improper fraction
-( 8 + 1 1/4)
- (9 1/4)
- 9 1/4
Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
In matrix form, this is
The coefficient matrix has determinant
so it has an inverse, which is
Multiply both sides by the inverse matrix:
so that 
and 
.
Answer:
18 miles run
Step-by-step explanation:
