Answer:
The correct option is C).
Figure show the line with slope of -1/2 and a y-intercept of 3
Step-by-step explanation:
The equation of line is given by y=mx+c.
Where m is slope and c is y-intercept.
Given that line has slope
m=
and c=3
Thus equation of line will be
y=mx+c.
y=
To plot the line we need at least two points
Take x=0
y=
y=
y=3
The required point is A(0,4)
Take x=2
y=
y=2
The required point is B(2,2)
Using this points to graph the given equation of line
Figure show the line with a slope of -1/2 and a y-intercept of 3
The correct option is C).
Answer:
The system of equations has no solutions
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously;
-2 = -y - x
y = -1 - x
Substitute the second into the first
-2 = -(-1-x) - x
-2 = 1 + x - x
We can see that the system has no solutions
Answer:
k= -9
Step-by-step explanation:
2k-3=9k+63-3 [expand the 9(k+7) first]
2k-9k=63-3+3 [put the like terms together]
-7k=63 [do the simple math]
k= 63 ÷ by -7
k=-9
Answer:
Width is 120ft but may be different if the "times the width" information is given. Follow the same process.
Step-by-step explanation:
To solve the problem, write an expression that relates length and width using the information given to you. "The length of a rectangular park is 3 feet shorter than times its width" means that l = 3 + w. Since no number is given for "times its width" we disregard this portion. If you have the information then you would include it here l = 3 + _w.
So using the expression l = 3 + w, substitute l = 123. Then the width will be:
l = 3 + w
123 = 3 + w
120 = w
