All categories

3 years ago

Use a geometric model to factor x + x - 2 by following these

Mathematics

2 answers:

Dima020 [189]3 years ago

8 0

Answer:

Mark Brainliest

Step-by-step explanation:

Factoring Trinomials using Algebra Tiles

Algebra tiles can be used as a model for factoring trinomials. When you multiply two binomials, your result is a trinomial. We used area models to multiply binomials. Therefore, to be able to factor a trinomial using algebra tiles, you must first rearrange the tiles into the shape of a rectangle.

1. Factor the expression x2 2x 1 .

a. This trinomial is made up of one x2 tile, two x tiles, and one unit tile.

b. Arrange these tiles to form a rectangle.

c. Use algebra tiles to identify the width and length of the rectangle.

d. The width has one x tile and one unit tile. The length has one x tile and one unit tile. Therefore, the factors of x2 2x 1 are x 1 and x 1. This means that:

x2 2x1x12

2. Factor the expression x2 8x 15.

a. This trinomial is made up of one x2 tile, eight x tiles, and fifteen unit tiles.

b. Arrange these tiles to form a rectangle. The key is to correctly arrange the unit tiles to match the number of x tiles.

c. Use algebra tiles to identify the width and length of the rectangle.

d. Write an equation to show the meaning of the model for this problem.

3. Special care must be taken when the c value in ax2  bx  c is negative. Let’s begin by factoring x2  x 6.

a. This trinomial is made up of one x2 tile, one x tile, and six negative unit tiles. It may be helpful to begin with the x2 tile and six negative unit tiles. Arrange these tiles to form a rectangle. (Note: There may be multiple ways to arrange the unit tiles so some trial and error may be necessary).

b. Since there are negative unit tiles, this means we will have to introduce some negative x tiles to create the rectangle. Just keep in mind – for every negative x tile you introduce, you must introduce a positive x tile. Otherwise, you are changing the value of the expression.

c. Identify the width and length of the rectangle and then write an equation to represent the model.

Practice: Factor each expression using algebra tiles.

1. x2 5x6 2. x2 5x4 3. x2 4x12

4. x2 7x8 5. 2x2 7x6 6. 2x2 5x12

Nikolay [14]3 years ago

6 0

Answer:

This should help

Step-by-step explanation:

Download pdf

You might be interested in

PLEASE HELP, 10TH GRADE GEOMETRY (REAL ANSWERS PLSSSS)

Zina [86]

Answer:

The correct option is 4.

Step-by-step explanation:

Let the line AB divided into 7 equal parts.

It is given that point P partitions the directed line segment from A to B in 3:4. It means 3 parts are before P and 4 partes are after P.

It is given that point Q partitions the directed line segment from A to B in 4:3. It means 4 parts are before Q and 3 partes are after Q.

It is given that point R partitions the directed line segment from A to B in2:5. It means 2 parts are before R and 5 partes are after R.

It is given that point S partitions the directed line segment from A to B in 5:2. It means 5 parts are before S and 2 partes are after S.

From the below figure we can say that point S is closest to point B.

It is also written as

$A$

Therefore option 4 is correct.

6 0

3 years ago

Read 2 more answers

she has 16 rabbits and feeds them one half cup of food every morning the bag she bought completely filled a five gallon bucket h

kipiarov [429]

I couldn’t tell if the .5 cup was for each rabbit or for them all. So I gave both answers.

4 0

3 years ago

Question Help Assume that when adults with smartphones are randomly selected, 6464% use them in meetings or classes. If 2020 a

Vitek1552 [10]

Answer:

16.78% probability that exactly 12 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smartphone in meetings or classes, or they do not. The probability of a person using their phone in meetings or classes is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

64% use them in meetings or classes.

This means that $p = 0.64$

20 adult smartphone users are randomly selected

This means that $n = 20$

Probability that exactly 12 of them use their smartphones in meetings or classes.

This is P(X = 12).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{20,12}.(0.64)^{12}.(0.36)^{8} = 0.1678$

16.78% probability that exactly 12 of them use their smartphones in meetings or classes.

5 0

3 years ago

Which of the following is the correct description of 'Slope'?

Gala2k [10]

Answer:

rise over run

Step-by-step explanation:

the slope in graphing is rise over run

5 0

3 years ago

A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster est

Komok [63]

Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Step-by-step explanation:

Our total add is

= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When we spherical it up to nearest tens

7.95 = 8.00

8.11 = 8.00

78.5 = 79

8.05 = 8.00

79.4 = 79.0

0.815 = 1

when we estimate the rational numbers with an extra operation once done,our results is

= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.

for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.

Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.

Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong

4 0

3 years ago

Read 2 more answers