Step-by-step explanation:
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Answer:
y = -(1/3)x + 2
Step-by-step explanation:
Keeping in mind the equation of a line: y = mx + c
Notice three discernible points on the graph: (0,2), (3,1), (6,0).
The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.
Therefore, when x = 0, y = 2. And 2 = m(0) + c
c = 2
Also, when y = 0, x = 6. And 0 = 6m + 2
6m = -2. And m = -(2/6) = -(1/3)
Therefore, y = -(1/3)x + 2
Answer:
Step-by-step explanation:
We are trying to find the hypotenuse of a right triangle
We will use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
11^2 + 7^2 = c^2
121 + 49 = c^2
170 = c^2
Taking the square root of each side
The inequality 3x-5y ≥ 5 when plotted in an x-y graph, change the inequality with an equal sign to determine the x-y values.
3x -5y = 5
x y
-2 -11/5
-1 -8/5
0 -1
1 -2/5
2 1/5
Plot these point in the graph and this will represent the inequality, shade the upper portion of the graph including the curve represented by the inequality.
