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2 years ago

Describe the sequence of transformations that maps the congruent figures.

1 answer:

6 0

Answer: The types of transformations that preserve congruency includes: Rotation (Turn) Turns a figure around a fixed point. Reflection (Flip) Flip of figure over a line where a mirror image is created. Translation (Slide or glide) Sliding a shape to a new place without changing the figure.

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Compare 4.5x10^6 and 2.1x10^8 explain how you can compare them

Roman55 [17]

4.5 x 10^6 = 4,500,000
2.1 x 10^8 = 210,000,000

Therefore, 4.5 x 10^6 < 2.1 x 10^8

8 0

3 years ago

Rewrite the system of linear equations as a matrix equation AX = B.

iren2701 [21]

Answer:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]$

And the vector of vriables (X) is:

$\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]$

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

$\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

In conclusion, AX=B is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

7 0

3 years ago

Find the missing value 8- = -5

podryga [215]

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5 Subtract 8 from both sides

8-8 - x = -5-8 Combine

-x = - 13 Multiply by -1

x = 13

6 0

3 years ago

What is the value of this expression when b=5 <br> 6(2b-4)

REY [17]

Remember distributive property

6(2b-4)
6(2(5)-4)
6(10-4)
6(6)
36

7 0

3 years ago

What is 1.1428571429 as a what is fraction

polet [3.4K]

11428571429/10000000000 because all you have to do is say the number as a decimal and count the place values

7 0

2 years ago