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guajiro [1.7K]
3 years ago
5

the vertices of figure QRST and translation 3 units left and 11 units down to form Q'R'S'T'. Explain the similarities and differ

ences between two figures
Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:    

Similarities: same size, and same orientation  

Differences:  different location, and different points

Step-by-step explanation:

When your doing a translation, the only thing that changes is the location. For example if you for your pencil, the location changes not size.

Thank you :D

I Hope This Helps You And Stay Safe!

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Can anyone help me find the volume of this pyramid? Asappp
Radda [10]
The volume formula of a pyramid is:
      V =\frac{1}{3} x length x width x height

The given are
Length = 24 cm, Width = 18 cm, Height = 35 cm

Substitute the values to find the volume

  V = \frac{1}{3} x 24 x 18 x 35
  V = 5040 cm³    
4 0
3 years ago
Using the pattern, give the coefficients of (x + y)^5 and (x + y)^6
musickatia [10]

Answer:

(x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5

(x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6

Step-by-step explanation:

In order to find the values of (x+y)^5 and (x+y)^6, you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).

(x+y)^5 = \sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i = \frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5 = x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5.

(x+y)^6 = \sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i = \frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6= x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6.

5 0
3 years ago
Given a set of data sorted from smallest to largest, define the first, second, and third quartiles.
Nikolay [14]

Answer:

Step-by-step explanation:

Given a set of data sorted from smallest to largest, i.e. arranged in ascending order we are to find out the median, I and III quartiles

We know that the median is the middle entry of data arranged in ascending order

Q1 is the entry below which 25% lie and Q3 is one above which 25% lie

Hence proper definition would be

d. The first quartile is the median of the lower half of the data below the overall median.

The second quartile is the overall median

The third quartile is the median of the upper half of the data above the overall median.

Option b is wrong becuase mean is not necessary here.  Option a is wrong because this has nothing to do with std deviation

Option c is wrong since minimum value cannot be q1

Option e is wrong because we have exactly 25% lie below Q1

4 0
3 years ago
Solve the system using elimination. 3x – y = 28 3x + y = 14
Alenkasestr [34]
The answer is no solution

5 0
3 years ago
Read 2 more answers
In 1979, there were 2.4 million licensed registered nurses in a country. This number increased to 3.6 million in 2012. What is t
Dennis_Churaev [7]

Answer:

It is a 50% increase

Step-by-step explanation:

2.4 million /2 = 1.2 million

2.4m + 1.2m = 3.6m

50% of 2.4 is 1.2

it is a +50% increase to get from 2.4 to 3.6

6 0
3 years ago
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