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il63 [147K]
3 years ago
7

Which sentences represent the inequality? Check all that apply. 2. 1 (-1. 2x) Greater-than-or-equal-to 8 The sum of 2. 1 and –1.

2 times a number is at least 8. The sum of 2. 1 and –1. 2 times a number is no more than 8. The sum of 2. 1 and –1. 2 times a number is a maximum of 8. The sum of 2. 1 and –1. 2 times a number is greater than or equal to 8. The sum of 2. 1 and –1. 2 times a number is a minimum of 8.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0

The correct sentences that represent the inequality are as follows;

The sum of 2.1 and –1.2 times a number is at least 8.

The sum of 2.1 and –1.2 times a number is greater than or equal to 8.

The sum of 2.1 and –1.2 times a number is a minimum of 8.

<h2>Given </h2>

Inequality; \rm 2.1 + (-1.2x) \geq  8

<h3>What is inequality?</h3>

When two real numbers or two algebraic expressions are represented with symbols like <, > or ≤, ≥ they can be called an inequality.

Inequality; \rm 2.1 + (-1.2x) \geq  8

The correct sentences that represent the inequality are as follows;

  • The sum of 2.1 and –1.2 times a number is at least 8.

  • The sum of 2.1 and –1.2 times a number is greater than or equal to 8.

  • The sum of 2.1 and –1.2 times a number is a minimum of 8.

To know more about Inequality click the link given below.

brainly.com/question/432376

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HELP PLEASE ASAP
Pie

\bold{\huge{\underline{ Solution }}}

<u>We </u><u>have</u><u>, </u>

  • Line segment AB
  • The coordinates of the midpoint of line segment AB is ( -8 , 8 )
  • Coordinates of one of the end point of the line segment is (-2,20)

Let the coordinates of the end point of the line segment AB be ( x1 , y1 ) and (x2 , y2)

<u>Also</u><u>, </u>

Let the coordinates of midpoint of the line segment AB be ( x, y)

<u>We </u><u>know </u><u>that</u><u>, </u>

For finding the midpoints of line segment we use formula :-

\bold{\purple{ M( x,  y) = }}{\bold{\purple{\dfrac{(x1 +x2)}{2}}}}{\bold{\purple{,}}}{\bold{\purple{\dfrac{(y1 + y2)}{2}}}}

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

  • The coordinates of midpoint and one of the end point of line segment AB are ( -8,8) and (-2,-20) .

<u>For </u><u>x </u><u>coordinates </u><u>:</u><u>-</u>

\sf{  -8  = }{\sf{\dfrac{(- 2 +x2)}{2}}}

\sf{2}{\sf{\times{ -8  = - 2 + x2 }}}

\sf{ - 16 = - 2 + x2 }

\sf{ x2 = -16 + 2 }

\bold{ x2 = -14  }

<h3><u>Now</u><u>, </u></h3>

<u>For </u><u>y </u><u>coordinates </u><u>:</u><u>-</u>

\sf{  8  = }{\sf{\dfrac{(- 20 +x2)}{2}}}

\sf{2}{\sf{\times{ 8   = - 20 + x2 }}}

\sf{ 16 = - 20 + x2 }

\sf{ y2 = 16 + 20 }

\bold{ y2 = 36  }

Thus, The coordinates of another end points of line segment AB is ( -14 , 36)

Hence, Option A is correct answer

7 0
3 years ago
Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on ti
user100 [1]

Answer:

Flower bed A has circumference = 31 feet, area = 79 feet²

Flower bed B has circumference = 38 feet, area = 113 feet²

Step-by-step explanation:

* <em>Lets revise the rules of the circumference and the area of the circle</em>

- The circumference of the circle = 2πr

- The Area of the circle = πr²

- r is the radius of the circle and it is half the diameter of the circle

# <em>Flower bed A has a diameter 10 feet</em>

∵ The radius = 1/2 the diameter

∴ The radius = 1/2 × 10 = 5 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 5 = 31.42 ≅ 31 feet

∵ The area = πr²

∴ The area = π (5)² = 78.54 ≅ 79 feet²

* Flower bed A has circumference = 31 feet, area = 79 feet²

# <em>Flower bed B has a radius 6 feet</em>

∵ The circumference = 2πr

∴ The circumference = 2 × π × 6 = 37.70 ≅ 38 feet

∵ The area = πr²

∴ The area = π (6)² = 113.10 ≅ 113 feet²

* Flower bed B has circumference = 38 feet, area = 113 feet²

* These answers not in the choices

8 0
4 years ago
5. Find the discriminant of 15x2 = 4x – 1 and describe
diamong [38]

Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c) x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

8 0
3 years ago
Help please bad please ​
Sergio [31]

Answer:

\displaystyle A .20

Step-by-step explanation:

<u>By </u><u>tangent</u><u> </u><u>theorem</u><u> </u>we acquire:

\displaystyle  x + 10 = 9 + 21

simplify addition:

\displaystyle  x + 10 = 30

cancel 10 from both sides:

\displaystyle  x = 20

hence,

our answer is A

4 0
3 years ago
Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?
anygoal [31]

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 =  n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

7 0
3 years ago
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