factor x^3 - 12x^2 + 36x

1. ABCD is shifted some units down, and then some othe units left.

2. The figure is just moved, not reflected, not diluted. So the distances are preserved

3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units

The length of LO is as the length of AB which is 6 units.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

According to the given information, the quadrilateral ABCD is translated down and left to form the quadrilateral OLMN.

As the quadrilateral is just shifted first down and then left but not changed in the dimensions thus, the dimensions of the new quadrilateral OLMN will also be the same as ABCD.

length of LO=OL=AB= 6 units

Hence, the length of LO is as the length of AB which is 6 units.

Learn more about quadrilaterals here:

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The complete question is;

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020

Answer:

2 units

Step-by-step explanation:

From the sides of the coordinate vertices PQ, you count how much coordinates on a graph it takes to get to one point as length.

Answer:

Either a or c

Step-by-step explanation:

Sorry I'm not entirely sure.

Answer:

Well i do not think you will be able to explain a drawing but here it goes.

Step-by-step explanation:

A. You will draw the model and color it  halfway

B. You will draw a model and color it about done but -       - away from the end

C.You will draw a model and color it about -          - in.

D.You will draw a model and color it about -                         - in.

E.You will draw a model and color it  about 20% more than A but make sure its a little more like a inch or so.

Answer:

1. a Early Pay: y = 45

b. Deposit Plus: y = 12.00 + 4.00x

c. Daily Pay: y = 6.00x

2.  Early pay = $25

  Deposit Plus = 12.00 + 4.00(4) =  12.00 + 16.00 = $28.00

Daily Pay = 6.00(4) = $24.00

Daily Pay is the cheapest one.

3. Early Pay = $45

Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00

Daily Pay = 6.00(8) = $48.00

Deposit Plus is the cheapest one.

4. Early Pay = $45

Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00

Daily Pay = 6.00(12) = $72.00

Early Pay is the cheapest one.

5.  Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.

Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.

Step-by-step explanation:

Format:

{Expression} = {Rewritten} = {Value}

Answer:

3/8 * 24 = 72/8 = 9

5/9 * 18 = 90/9 = 10

11/12 * 36 = 396/12 = 33

Answer:

x=5/2

Step-by-step explanation:

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

Answer:

f = -2x -5, which is false

Step-by-step explanation:

combine like terms, f = -2x -5

-2f = 4x +10

Answer:

The Answer would be -3

Step-by-step explanation:

(-2)=4x+10

-4x=10+2

-4x=12

-3

Answer:

3 1/2

Step-by-step explanation:

Answer:

-0

Step-by-step explanation:

Answer:

-1   0   1   2

Its just subtraction

Answer:

y=-2/3x - 2/3

Step-by-step explanation:

Answer:

yes! it's correct. Congrats :)

Step-by-step explanation:

Answer:

Your answer is correct.

Step-by-step explanation:

(−1,4);(3,0)

(x1,y1)=(−1,4)

(x2,y2)=(3,0)

m= y2−y1 /x2−x1  

0−4 /3−(−1 )

−4 /4 = −1

Answer:

210

Step-by-step explanation:

if you divide 126 by 3 you get 42 than multiply by 5 and you get 210

Answer:

D

Step-by-step explanation:

on edge 2021

Answer:

133+1728x^456

Step-by-step explanation:

Answer:

i think is D t but i think

Step-by-step explanation:

Answer is 0 probably B)

Step-by-step explanation:

Answer:

2³×3²

Step-by-step explanation;

Prime Numbers are numbers which which have only two factors the number itself and one

Examples of Prime Numbers are;

2,3,5,7,11,13,17,19,23,29,etc

To Find The Prime Factorization Of The Number 72 you'll need to follow this;

72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)

72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)

72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)

72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)

So; 72=2×2×2×3×3

So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;

2³×3²

So The Prime Factorization of 72 is; 2³×3²

Answer:

Correct option is "Both boys are correct".

Step-by-step explanation:

The equation is:

6x - 2 = -4x + 2

        6x - 2 + 4x = -4x + 2 + 4x

        10x - 2 = 2

        10x = 4

         x = 0.40

        6x - 2 - 6x = -4x + 2 - 6x

        - 2 = -10x + 2

        10x = 4

         x = 0.40

Correct option is "Both boys are correct".

9514 1404 393

Answer:

  B (correctly marked)

  1/3, 1/2, 4

Step-by-step explanation:

The rational root theorem tells you the rational roots will be of the form:

  ±(divisor of constant)/(divisor of leading coefficient)

Here, that means they will be of the form ±{1, 2, 4}/{1, 2, 3, 6}.

Right away, you can eliminate choices A and C because there cannot be 9 in the numerator, and the number of possibilities goes beyond just 1, 2, and 4.

Possible rational roots are ...

  ±1, ±2, ±4, ±1/2, ±1/3, ±1/6, ±2/3, ±4/3

__

I like a graphing calculator for finding the roots of higher-degree polynomials. A graph of this one shows roots to be 1/3, 1/2, and 4.

_____

Descartes' rule of signs tells you there are 0 negative real roots, and 1 or 3 positive real roots. The ratio of the first two coefficients suggests that one of the roots may be relatively large, so it might work to try 4.

  ((6·4 -29)·4 +21)·4 -4 = (-20 +21)·4 -4 = 0

So, x=4 is a root. Synthetic division (2nd attachment) shows the remaining quadratic factor to be 6x^2 -5x +1. Factoring this*, we have ...

  6x^3 -29x^2 +21x -4 = (x -4)(6x^2 -5x +1) = (x -4)(3x -1)(2x -1)

The roots associated with the quadratic factor are 1/3 and 1/2.

The real roots are 1/3, 1/2, and 4.

_____

* To factor ax^2 +bx +c, you look for factors of the product ac that have a sum of b. Here, you're looking for factors of 6·1 = 6 that have a sum of -5.

  6 = (-1)(-6) = (-2)(-3) . . . sums are -7 and -5

The numbers we're looking for are -2 and -3. Then the factorization is (6x -2)(6x-3)/6 = (3x -1)(2x -1).

Note that we have identified 'p' and 'q' as the factors of 'ac' that total to 'b'. The factorization is then (ax+p)(ax+q)/a. Here, both factors end up with coefficients of x that are not unity. That is not always the case.

There are other ways to make use of 'p' and 'q'. You can also rewrite the quadratic as ax^2 +px +qx +c, and factor by grouping.

Answer:

well (-2) -4=-6

Step-by-step explanation:

the the elevation he changed in is 6ft goign down

The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Marco climbed 2 feet down a ladder. He then climbed down 4 more feet.

The equivalent addition equation to represent this situation will be given as,

⇒ (-2) + (-4)

⇒ - 2 - 4

⇒ - 6

The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

clara had 16 but she gave half that leaves us with 8 + 4 gives u 12

x

2

+ 4 = 12 ; 16 attires  

Answer:

16

Step-by-step explanation:

a:2+4 =12

a:2=12-4

a:2=8

a=8 ×2

a=16 dresses

Step-by-step explanation:

brainliest would be super appreciated

Step-by-step explanation:

[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]

Answer: 3/4x

Step-by-step explanation:

I’m order to get the right answer it should be

y1 - y2 — 2- -4 = 6

x1 - x2 — 4 - -4 = 8

Now to get 6/8 to the simplest form, divide it by two which should give you 3/4

Answer:

C = K − 273.15  !!!!!

Yes, Its the equation, since we do not have either varibles it is written out like so

Step-by-step explanation:

By simplifying both sides of the equation, then isolating the variable.

Answer:

The other brother bought 6

Step-by-step explanation:

10 books in total

4 books bought by one brother

10 - 4 = 6

Answer:

2b+4b=10b  the other brother bought 6 books.

Since we already know how many the other brother bought, we don't need to find that information.

Step-by-step explanation:

2b+4b=10b

combine like terms and subtract.

6b=10b

=4b

(hope this is correct.)