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Marina CMI [18]
2 years ago
13

Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0
The ordered pair is (-4,2)
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To find Angle A we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is 17

The hypotenuse is 38

So we have

cos A = 17/38

A = cos-¹ 17/38

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To find Angle C we use sine

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The opposite is 17

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3 years ago
The sum of 2 rational numbers is 5/2. if one of the number is -7/3. then find the other number.
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Answer:

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6 0
3 years ago
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The angles of a quadrilateral measure 80, 100, 100, 80 in this order what kind of quadrilateral has this shape what attributes h
Harrizon [31]

Answer:

Isosceles trapezoid

Step-by-step explanation:

-An isosceles trapezoid is also sometimes called a convex quadrilateral.

-It properties include:

  • A line of symmetry can often bisects a pair of opposite sides.
  • It has to obtuse alternating with each other after which a pair of acute angles alternate with each other i.e 80°, 80°,100°,100°
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8 0
3 years ago
An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its
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Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment,  V = (x+2)x(x-1) = x^3 + x^2 - 2x

But, the volume of the compartment must be 8 cubic meters.

⇒ x^3 + x^2 - 2x = 8

⇒ x^3 + x^2 - 2x - 8=0

⇒ (x-2)(x^2+3x+4)=0

If x-2=0\implies x = 2 and if  x^2+3x+4=0\implies x = \text{complex number}

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

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When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.




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