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jarptica [38.1K]
3 years ago
15

Write a linear inequality in two variables that has (-1, 3) as a solution but does not have (4,0) as a solution.

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:  y ≤ -x + 2

<u>Step-by-step explanation:</u>

There are an infinite number of possible solutions.

Plot the two points, draw any line between them such that the two points are NOT connected, then choose the inequality symbol that shades (-1, 3).

Here is one solution that satisfies the requirements.   y ≤ -x + 2

Here is another: y < -x + 3

And another: y > x + 3

And one more: y ≥ x + 4

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What is the geometric mean of 2 and 25? Rounded to the nearest tenth
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The geometric mean is \sqrt{2*25} = \sqrt{50}= 5\sqrt{2}=7.1.
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A city planner designs a park that is a quadrilateral with vertices at J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1). There is an e
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use the eqn below to find the mid-pts

x-mid-pt = (x₁+x₂)/2

y-mid-pt = (y₁+y₂)/2

J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1)

So

midpoint JK = (-1+1/2, 1+3/2) = (0,2)

midpoint KL = (1+5/2, 3+⁻1/2) = (3,1)

midpoint LM = (5+⁻3/2, ⁻1+⁻1/2) = (1,-1)

midpoint MJ = (⁻3+⁻1/2, -1+1/2) = (-2,0)


use the eqn to find distance:


d = √(x₂ - x₁)² + (y₂ - y₁)²


Distance between JK and LM = √(0⁻1)² + (2 - ⁻1)² = √1 + 9 = √10

Distance between JM and KL = √(3-⁻2)² + (1-0)² = √25 + 1 = √26

Scale is 10

Actual distance = 10*(√10 + √26) = 82.6 = 83 units


8 0
4 years ago
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One lunch table can hold 10 students. There are 60 students in 3rd grade. How many lunch tables are needed so that every student
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Answer:

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Which expression is equivalent to (4mn/m^-2n^6)^-2
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First, we get rid of the negative exponent in the parenthesis.  We do this by moving it to the top.  Our equation is now:

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Next, we can cross out one n from both the top and the bottom.

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Finally, we evaluate the -2

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This can not be simplified any further, so this is the final answer.
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