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Oksana_A [137]
3 years ago
6

The quotient of b and 2 is at least -16

Mathematics
1 answer:
belka [17]3 years ago
6 0

Hi! The equation to this problem is:

b/2 ≥ -16

Here are the steps to solving it:

b/2 * 2 ≥ -16 * 2

b ≥ -32

Hope this helps you!

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Charlotte completed 12 pages of her 18-page report. What percent has she completed thus far?
Mashutka [201]

Answer:

Charlotte has 23 of her book left to read. She can read 29 of it each day.

Step-by-step explanation:

5 0
3 years ago
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Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. X2 y2 − 2x 2y −
Colt1911 [192]

Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

<h3>What is the equation of circle?</h3>

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

(x-h)^2+(y-k)^2=r^2

Here (h,k) is the center of the circle and (r) is the radius of the circle.

Lets arrange the first equation, in standard form of equation of circle as,

x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2

The radius of this circle is √(3).

Lets arrange the second equation, in standard form of equation of circle as,

x^2 +y^2 - 4x+ 4y - 10 = 0  \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2

The radius of this circle is √(18).

Lets arrange the third equation, in standard form of equation of circle as,

x^2 +y^2 - 8x - 6y - 20 = 0   \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2

The radius of this circle is √(45).

Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.

Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

Learn more about the equation of circle here;

brainly.com/question/1506955

3 0
2 years ago
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What is the simplest form of 874/942
soldi70 [24.7K]

Answer:

437/471

Step-by-step explanation:

would consider downloading photomath

3 0
3 years ago
Kia wants to order a large pizza from Frank's Pizza. Each large cheese pizza costs  $8.75 and each additional topping costs $0.5
Afina-wow [57]
<h2>Hello!</h2>

The answer is: A. 8.75 + 0.50 x ≤ 15.00

<h2>Why?</h2>

By isolating the variable (x), we have:

8.75 + 0.50x \leq15.00 \\0.50x\leq 15-8.75\\0.50x\leq 6.25\\x\leq \frac{6.25}{0.50}\\x\leq 12.5

So, with the result of x ≤ 12.5 , we can know that the most amount of additional toppings Kia got, is 12 toppings.

The inequality is telling us that Kia will spend 15$ or less if she orders 12 toppings or less.

Have a nice day!

7 0
3 years ago
Read 2 more answers
Will give brainlist
Cloud [144]

72 = 6*12  = 3*2 * 4*3  = 3*2*2*2*3

72 = 2*2*2*3*3

72=2^3 * 3^2

You can check your answer by multiplying out the factors

2*2*2*3*3

2*2 is 4

4*2 is 8

8*3 is 24

24*3 is 72

checks

4 0
3 years ago
Read 2 more answers
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