Answer:
See the graph attached. It has one solution: (6,-4)
Step-by-step explanation:
The slope-intercept form of a line is:
Where m is the slope and b is the intersection of the line with the y-axis.
Given the first equation 
You can identify that:
b=-1
Substitute y=0 to find the intersection with the x-axis
This line passes through the points (0,-1) and (-2,0)
Given the second equation:
Solve for y:
It passes through the point (0,-4).
Now, you can graph. See the figure attached.
It has one solution,which is the point of intersection of both lines: (6,-4)
Is there only choices A and B?
From the choices I can see you don’t even have to do any work. The equation starts with (y =). This indicates you will be working with the y intercept. The y intercept is simply where the line crosses on the y axis. In this graph, the y intercept is 2.5. Out of your choices (A and B that I can see) only one contains + 2.5.
B is your answer UNLESS there are choices c and d that are cut out.
Answer:
Length of the minor arc AB = 5.27777777778 cm
Step-by-step explanation:
Here you would require a simple proportionality.
The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).
Here we can propose that the length of the minor can be equal to x.
Now let's substitute the known values:
95 / 360 = x / 20
Now cross multiply:
360 * x = 95 * 20 ⇒
360x = 1900 ⇒
x = 5.27777777778 ⇒
length of the minor arc AB = 5.27777777778 cm
Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
