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stellarik [79]
3 years ago
6

For all real numbers a and b, a+b=b+a

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
This is the "commutative property of addition."  The order in which you add numbers together doesn't matter, and doesn't change your final results.

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The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are
arsen [322]

Answer:

  16 cm^2 and 49 cm^2

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions, so is ...

  (4/7)^2 = 16/49

The sum of these "ratio units" is 16 +49 = 65. The sum of triangle areas is 65 cm^2, so each "ratio unit" must stand for 1 cm^2 of area. That is, the triangles must have areas of ...

  • 16 cm^2
  • 49 cm^2
3 0
3 years ago
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????? HELP PLEASEEE!!
lys-0071 [83]
What is the question?
5 0
2 years ago
I need help it’s super confusing
steposvetlana [31]

Answer:

Range = 58

Mean = 25.81

Median = 17

Mode = 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile = 11

Lower Quartile = 48

Step-by-step explanation:

Start by putting all of the values in order from least to greatest.

16, 18, 12, 9, 17, 2, 41, 48, 50, 60, 11

becomes

2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Range

The range is the difference between the highest and lowest value. So in this case, it's 58, because 60 - 2 = 58

Mean

The mean is another word for the average. To calculate the average, add all of the values and divide the sum by the number of values.

2 + 9 + 11 + 12 + 16 + 17 + 18 + 41 + 48 + 50 + 60 = 284

There are 11 values, so divide the sum (284) by 11:

284 / 11 = 25.8181818.

That rounds to 25.81

Median

The median is the middle value of the data set.

In 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60 the middle value is 17. It has 5 values on each side of it.

Mode

The mode is the number that appears the most in the data set. Each value only appears once, so the mode is the entire list of numbers. 2, 9, 11, 12, 16, 17, 18, 41, 48, 50, 60

Upper Quartile

The upper quartile of a data set is the median of the numbers that are to the left of the median for the entire data set. The median is 17, so the numbers to the left are 2, 9, 11, 12, and 16. The median of those is 11 because it is in the middle. So the upper quartile is 11.

Lower Quartile

The lower quartile is found the same way the upper quartile is, but it's the median of the numbers to the <em>right</em>. The numbers to the right of 17 are

18, 41, 48, 50, and 60. The median of those is 48 because it's in the middle. So the lower quartile is 48.

5 0
3 years ago
50 POINTSSSSS! PLEASE HELP! Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a
Brums [2.3K]
Use a straight Edge to connect the four points

6 0
3 years ago
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What is the quadratic function f(x)=x^2+6x-2 In vertex form?
Yuliya22 [10]

Answer: Option D

f(x)=(x+3)^2 -k

Step-by-step explanation:

For a quadratic function of the form

ax ^ 2 + bx + c

The x coordinate of the vertice is:

x =-\frac{b}{2a}

In this case the function is:

f(x)=x^2+6x-2\\\\

So

a=1\\b=6\\c=-2

The x coordinate of the vertice is:

x=-\frac{6}{2*1}\\\\x=-3

The y coordinate of the vertice is:

f(-3) = (-3)^2 +6(-3) -2\\\\f(-3)=-11

The vertice is: (-3, -11)

The form e vertice for a quadratic equation is:

f(x)=(x-h)^2 +k

Where

the x coordinate of the vertice is h and the y coordinate of the vertice is k.

Then h=-3 and k =-11

Finally the equation f(x)=x^2+6x-2\\\\ in vertex form is:

f(x)=(x+3)^2 -k

6 0
3 years ago
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