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Orlov [11]
3 years ago
13

I WILL GIVE BRAINLIEST, 5 STARS AND THANKS!!! When an inequality models a practical problem, why might some of the points on the

graph not be solutions to the problem even though they are solutions to the inequality?

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

An inequality often covers an infinite area. Depending on the problem, any area either below or above the function is included in the set of solutions.

For example, see the attached photo.

y < x is graphed here.

When you substitute x = 0 into the function, y will equal 0 and this point is a solution to the problem. However, if any point under this line, such as (1, 0), (-9, 0), or even (1000000000, 0), was chosen, these are still solutions to the inequality, but not the problem.

Step-by-step explanation:

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A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for
zmey [24]

Answer:

Perimeter: 18.28

Area: 22.28

Step-by-step explanation:

1. Approach

An easy method that can be used to solve the given problem is the partition the given figure into two smaller figures. One can divide this figure into a square and a semi-circle. After doing so, one can find the area of the semi-circle and the area of the square. Finally, one can add the two area together to find the final total area. To find the perimeter of the figure, one can add the lengths of three of the sides of the square and then one can add half of the circumference of the circle to the result. The final value will be the perimeter of the entire figure.

2. Find the circumference of the semi-circle

The circumference of a circle is the two-dimensional distance around the outer edge of a circle, in essence the length of the arc around a circle. The formula to find the circumference of a circle is as follows,

C = 2(pi)r

Since a semi-circle is half of a circle, the formula to find its circumference is the following,

C = (pi)

Where (pi) is the numerical value (3.1415) and (r) is the radius of the circle. By its definition, the radius of a circle is the distance from a point on the circle to the center of the circle. This value will always be half of the diameter, that is the distance from one end of the circle to the other, passing through the center of the circle. The radius of a circle is always half of the diameter, thus the radius of this semi-circle is (2). Substitute this into the formula and solve for the circumference;

C = (pi)r

C = (pi)2

C ~ 6.28

3. Find the area of the semi-circle

The formula to find the area of a circle is as follows,

A = (\pi)(r^2)

As explained earlier, a semi-circle is half of a circle, therefore, divide this formula by (2) to find the formula for the area of a semi-circle

A = ((pi)r^2)/(2)

The radius of this circle is (2), substitute this into the formula and solve for the area of a semi-circle;

A = ((pi)r^2)/(2)

A = ((pi)(2^2))/(2)

A = (pi)2

A = 6.28

4. Find the area and perimeter of the square,

The perimeter of a figure is the two-dimensional distance around the figure. Since the semi-circle is attached to one of the sides of a square, one only needs to add three sides of the square to find the perimeter of the square;

P = 4+4+4

P = 12

The area of a square can be found by multiplying the length by the width of the square.

A = l*w

Substitute,

A = 4*4

A=16

5. Find the area and the perimeter of the figure,

To find the perimeter of the figure, add the value of the circumference to the vlalue of the perimeter of the square;

A = C+P

A = 6.28+12

A = 18.28

To find the area of the figure, add the value of the area of the circle to the area of the square;

A = 6.28+16

A = 22.28

3 0
3 years ago
(x+1)^2+(x-1)^2-2x(x+2)=0
antoniya [11.8K]

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • (x+1)^2+(x-1)^2-2x(x+2)=0
  • x^2 + 2x + 1 + x^2 - 2x + 1 -2x^2 -4x = 0
  • (x^2 + x^2-2x^2) + (2x-2x-4x)+(1+1)=0
  • -4x + 2 = 0

Step 2: Subtract 2 from both sides.

  • -4x + 2 - 2 = 0 - 2
  • -4x = -2

Step 3: Divide both sides by -4.

  • \frac{-4x}{-4} = \frac{-2}{-4}
  • x = \frac{1}{2}
8 0
2 years ago
Are these right and can u help with number 4
alexdok [17]
7/4th s should be the answer sorry if i,m wrong
3 0
3 years ago
Read 2 more answers
Which equation can be used to solve forB?
Bess [88]

Answer:tan 30 = 5/b

Step-by-step explanation:

From the diagram line BC is opposite to the angle 30 and line AC is adjacent to that same angle

From trigonometric ratios

Tan 30 = opposite /adjacent

5 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the equation?
shepuryov [24]

Answer:

  A  Only (2, 3)

Step-by-step explanation:

The given equation is in point-slope form:

  y -k = m(x -h) . . . . . a line with slope m through point (h, k)

The point in the given equation is ...

  (h, k) = (2, 3)

so you know the equation is satisfied at that point.

__

When you try the other point, you find ...

  For (x, y) = (3, 2), you have

  2 -3 = 5(3 -2)

  -1 = 5(1) . . . . FALSE

Point (3, 2) does not satisfy the equation.

  Only (2, 3) is a solution of the equation

_____

Of course, the equation of a line is satisfied by an infinite number of points. Of the two listed here, only (2, 3) is a solution.

8 0
3 years ago
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