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ivanzaharov [21]
2 years ago
12

The product of two consecutive numbers exceeds the square

Mathematics
1 answer:
Lyrx [107]2 years ago
8 0

Answer:

20,21

Step-by-step explanation:

Let x be the first number.

Let y be the 2nd number.

Given y - x = 1 (since they are consecutive)

Rearrange it: y = x+1 (equation 1)

Also given:

xy-20=x^{2} (equation 2)

Now we can substitute y = x + 1 into equation 2.

x(x+1)-20 = x^{2} \\x^{2} +x-20 = x^{2} \\x-20=x^{2} -x^{2} \\x-20=0\\x=20

Since we know x, the smaller number is 20, we can substitute to equation 1 to find y, the larger number.

y = 20+1

= 21.

Therefore the 2 numbers are 20 and 21.

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On August 7, 2007 Barry Bonds hit his 756th home run, breaking the all-time career home run record, formerly held by Hank Aaron.
svp [43]

From the stemplot, it can be taken that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

-------------------------------

  • From the stemplot, it can be taken that Bonds had the biggest outlier, which was the season with 73 home runs.
  • His season with the lowest amount of home runs was also less than Aaron, as he had a 5 home run season while Aaron lowest amount was 10.
  • They both had a lot of seasons with at least 20 home runs, so both very consistent.

Thus, we can take that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

A similar problem is given at brainly.com/question/24341344

4 0
3 years ago
Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.
marin [14]
Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)

Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points, 

D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)
6 0
3 years ago
What is the value of the expression? 8 x (-4.8) divided by (-4)
valentina_108 [34]
The answer is D.9.6. This is because you multiply 8 x (-4.8)= -38.4 and since you divided it by another negative it becomes positive. Hope this helped.
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6 0
3 years ago
Read 2 more answers
PLEASE HELP MATHS PROBLEM!!!
adoni [48]

Just ask google ot will halp you better but i think its -48

4 0
4 years ago
Read 2 more answers
Question 3
Yuliya22 [10]

Answer:

Median and Mode.

Step-by-step explanation:

The data could be represented in table form in ascending order as:

 <u>Number of meals</u>                      <u> Frequency</u>

      2                                                     2

       3                                                     3

       4                                                     2

       19                                                    1`

On the basis of the data now we find the mean, median and mode:

Mean= average of the data

Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5

Hence mean is 5.

Median is the central tendency of the data

on looking at our data we see that the Median=3.

also the mode of the data is the entry corresponding to the highest entry.

Hence the highest frequency is 3 and the corresponding value is 3.

Hence, Mode=3

Hence, the most appropriate measure of center for this situation is :

Median and Mode.

4 0
3 years ago
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