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Gennadij [26K]
4 years ago
13

An isometry is a transformation that preserves?

Mathematics
1 answer:
Murrr4er [49]4 years ago
4 0
An isometry is a transformation that preserves distance.

hope this helps, God bless!
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Factor completely. (x^2 – 4)(x^2 + 6x + 9)<br>​
sertanlavr [38]
<h3>Answer:   (x-2)(x+2)(x+3)(x+3)</h3>

This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.

===============================================

Explanation:

x^2-4 factors to (x-2)(x+2) after using the difference of squares rule

x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule

So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)

We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2

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

Side notes:

  • Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
  • The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
8 0
3 years ago
Evaluate 4log4(3,100)
alexdok [17]

Answer:

{ \tt{4 log_{4}(3100) }} \\  = { \tt{4 log_{4}(775 \times 4) }} \\  = { \tt{4 log_{4}(775)  + 4 log_{4}(4) }} \\  = { \tt{4( (\frac{ log_{10}775 }{ log_{10}4 } ) +1)}} \\  = { \tt{4(4.8 + 1)}} \\  = { \tt{23.2}}

8 0
3 years ago
A rectangular glass window is divided into two equivalent right triangles by a diagonal brace.
lapo4ka [179]
15 inches because u have to use the Pythagoras formula which is a^2+b^2=c^2 Which is 9^2+12^2=225
Then the square root of 225= 15
3 0
3 years ago
Read 2 more answers
For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 – n points whenever one of its members finishe
ololo11 [35]

Answer:

The least possible score a team could have earned is 3.

Step-by-step explanation:

From the given information it is clear that the total number of teams is 3.

Total number of members in each team is 3.

A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5.

It means the points for 1st, 2nd, 3rd, 4th, and 5th place are 5, 4, 3, 2 and 1 respectively.

Total points that can be earned all teams together = 5+4+3+2+1=15

There were no ties, disqualifications, or withdrawals.

To minimize the score of a team, we have to maximize the score of the other two teams.

It is given that no team earned more than 6 points,

Let two teams earn there maximum score. i.e. 6. So the score of third team is

15-6-6=3

Therefore, the least possible score a team could have earned is 3.

8 0
3 years ago
Write x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers.
Mariulka [41]
X² − 6x + 7 = 0

Let's complete the square [x²-6x+(??)²] -(??)² +7 = 0

As you noticed we have added the unknown square & also subtract the same so that not to change the equation

The question now is to calculate this square (??)²

We know that the middle term (6x) is twice the square root of the 1st times the square root of the 2nd, That is 6x=2x (multiply) √(??)²

6x = 2x?? & ??=6x/2x===> ?? =3 & (??)² =9

Hence plug (??)² into the equation above:

x² - 6x + 9 - 9 +7 =0

(x²-6x+9) -9 + 7 =0

(x-3)² -2 =0 ====> (x-3)² = 2 (that is B)
7 0
4 years ago
Read 2 more answers
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