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TEA [102]
3 years ago
6

Explain how to determine whether a point is a solution to a linear inequality?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.

Example

Is (1, 2) a solution to the inequality

2x+3y>1

2⋅1+3⋅2>?1

2+5>?1

7>1

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Step-by-step explanation:

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The two angles are a linear pair.
(Explanations down below!)

Linear pair angles must add up to 180 degrees. You can tell that the two angles add up to 180 degrees because they form a straight line (which is 180 degrees).

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6 0
3 years ago
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a_sh-v [17]

Answer:

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≈0.111111111

Step-by-step explanation:

7 0
2 years ago
Write an equation to show that Y is directly proportional to x using the constant of proportionality given. Then solve for the u
olga55 [171]

Answer:

y = 2\frac{5}{11}

Step-by-step explanation:

y ∝ kx

y = \frac{3}{11} × 9 = 2\frac{5}{11}

8 0
3 years ago
Solve.<br><br> The answer must be a fraction. Solve by substituting.
maw [93]

Answer: x = -14/5

Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation

-2/3 (x + 2) = 1/6 (x + 6)

(-2x/3) -4/3 = (x/6) + 1

By collecting like terms we now have

(-2x/3) - (x/6) = 1 + 4/3

(-4x - x)/6 = 7/3

-5x/6 = 7/3

By cross multiplication we now have

-5x (3) = 7 (6)

-15x = 42

x = -(42/15) {simplify further by dividing the RHS by 3}

x = -14/5

Therefore x equals, minus fourteen over five (-14/5)

4 0
3 years ago
3. Each day, the furniture store sells x tables and y chairs.
gulaghasi [49]

Answer:

answer A and B are the same there just the opposite of each other. so A or B would work.

Step-by-step explanation:

95×(12) +225×(12)

3 0
3 years ago
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