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Olin [163]
3 years ago
11

1. For each problem, use the properties of inequalities to write a true inequality statement.

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Part a) The true inequality statement is: -2>-5

Part b) The true inequality statement is: -4>-7

Part c) The true inequality is 6

Step-by-step explanation:

We are given the two integers are -2 and -5.

Part a)

Write a true inequality statement.

The true inequality statement is: -2>-5

Part b)

Subtract-2 from each side of the inequality. Write a true inequality statement.

Subtracting -2 from each side we get:

-2>-5\\-2-2>-5-2\\-4>-7

The true inequality statement is: -4>-7

Part c)

Multiply each number by-3. Write a true inequality statement.​

Multiplying -3 on both sides:

-2>-5\\-2*-3>-5*-3\\Multiplying\,\,-3\,\,will\,\,change\,\,the\,\,inequality\,\,sign\\6

The true inequality is 6

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

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Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

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We are given the equation of a circle as

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Note we have corrected it by adding the square to the y. Simplify by 3

x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

\alpha^2+\alpha-12=0

There are two solutions for \alpha:

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Keeping the positive solution, as required:

\boxed{\alpha=3}

8 0
3 years ago
500th term of 24,31,38,45,52
tensa zangetsu [6.8K]
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.

Therefore, the Nth term is 17 + 7N. 

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The second term is 17 + 7*2 = 17 + 14 = 31

etc...

And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
3 0
3 years ago
A navigator marks three locations on a satellite map as shown. If the distance from Serravalle to San Marino is 982 miles, and t
valentina_108 [34]
THE ANSWER 

let be S1 = <span>Serravalle
S2= </span><span>San Marino and 
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(distance S1 to  S2)  +  (distance S2 to S3) = </span><span>982 miles + 833 miles =1.815 miles

the answer is </span>B. 1, 815 miles
7 0
3 years ago
Read 2 more answers
- 65 POINTS -
eduard

Answer: f(x) = ∛(x+4)^2=8 + 3 = 11

4x5=20-9=11

Step-by-step explanation:

3 0
3 years ago
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Answer:

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8 0
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