Let's say for example you wanted to graph the linear equation 
At minimum, we'll need 2 points to form this line.
To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.
For example, replace x with 0 to find that...
Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.
Then we repeat this process for other x values. Let's try x = 1
Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.
We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.
Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.
Answer:
7 donkeys
Step-by-step explanation:
Given
A system consisting of donkeys and tourists
Heads = 50
Legs = 114
Required
Calculate number of donkeys.
Represent donkeys with D and tourists with T.
By means of identification; donkeys and tourists (human) both have 1 head.
This implies that
Number of Heads = D + T
50 = D + T ----- Equation 1
While each donkey have 4 legs, each tourists have 2 legs.
This implies that
Number of legs = 4D + 2T
114 = 4D + 2T ---- Multiply both sides by ½
114 * ½ = (4D + 2T) * ½
57 = 4D * ½ + 2T * ½
57 = 2D + T ----- Equation 2
Subtract equation 1 from 2
57 = 2D + T
- (50 = D + T)
---------------------
57 - 50 = 2D - D + T - T
7 = D
Recall that D represents the number of donkeys.
So, D = 7 implies that
The total number of donkeys are 7
Answer:
The length of the wire is 76.19 m.
Step-by-step explanation:
It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.
It means base of the right angled triangle is 40 m.
The wire makes an angle of 58deg 20min with the ground.
1 degree = 60 min
Using this conversion convert the given angle in degree.
In a right angled triangle
Therefore the length of the wire is 76.19 m.
Answer:
- 14, - 7 or 7, 14
Step-by-step explanation:
Let the the two integers be x and (x + 7)
Hence the required integers are - 14, - 7 or 7, 14
