A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative
2 answers:
9514 1404 393
Answer:
- left table: y = 1.5x -6
- right table: y = -4x +6.1
- solution: (2.2, -2.7)
Step-by-step explanation:
In each table, the first entry tells you the y-intercept of the equation.
Since the x-values increase by 1, the difference of the first two y-values is the slope of the line.
Table 1 slope = -4.5 -(-6) = 1.5
Table 2 slope = 2.1 -6.1 = -4
The equations are then ...
Table 1: y = 1.5x -6
Table 2: y = -4x +6.1
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We can find the solution by equating expressions for y:
1.5x -6 = -4x +6.1
5.5x = 12.1
x = 12.1/5.5 = 2.2
y = -4x +6.1 = -4(2.2) +6.1 = -8.8 +6.1 = -2.7
The solution is (x, y) = (2.2, -2.7).
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Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.
