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Ilya [14]
2 years ago
7

There are two consecutive odd integers. The

Mathematics
1 answer:
kifflom [539]2 years ago
3 0

Answer:

  13, 15

Step-by-step explanation:

Let x represent the smaller of the two integers. Then the larger is x+2. The required relation is ...

  x² = 154 +(x +2) . . . . . . the smaller squared is 154 more than the larger

  x² -x = 156 . . . . . . . . . . subtract x

  x² -x +1/4 = 156.25 . . . complete the square

  (x -1/2) = √156.25 = 12.5 . . . . take the square root

  x = 13 . . . . . add 1/2

The two integers are 13 and 15.

__

<em>Check</em>

  13² -15 = 169 -15 = 154 . . . as required

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Travka [436]

Answer:

If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.

3 0
3 years ago
Spanish class has a total of 30 students. The number of males is 12 more than the number of females. How many males and how many
docker41 [41]

Answer:

21, 9

Step-by-step explanation:

If girls are x, then boys are x + 12

x + x + 12 = 30

2x + 12 =  30

2x = 18

x = 9

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8 0
2 years ago
Read 2 more answers
A circle has an area of 200.96 units2 and a circumference of 50.24 units. If the radius is 8 units, what can be said about the r
AleksandrR [38]

Answer:

C. The ratio of the area to the circumference is equal to half the radius.

Step-by-step explanation:

The area of a circle can be written as;

Area A = πr^2

The circumference of a circle is;

Circumference C = 2πr

Using the formula, w can derive the relationship between the two variables.

A = kC

k = A/C

Substituting the two formulas;

k = (πr^2)/(2πr) = r/2

So,

A = (r/2)C

A/C = r/2

The ratio of the area to the circumference is equal to half the radius.

Given;

Area = 200.96

Circumference = 50.24

Radius = 8

To confirm;

k = r/2 = 8/2 = 4

Also,

A/C = 200.96/50.24

A/C = 4

6 0
3 years ago
Mary has 1/4 of a tank of gas.A quarter or a tank is equal to 5 gallons how many gallons does her tank hold
Naddika [18.5K]

20 gallons

5 times 4 is 20

Hope this helps and have a great day!

7 0
3 years ago
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frosja888 [35]

Im sorry i dont know

8 0
3 years ago
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