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Alexxandr [17]
2 years ago
14

The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot

: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.
Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

x^2+9x+14

To get the factors, we will factorize the given quadratic function as shown:

g(x) = x^2+2x+7x+14

Group the functions to have;

g(x) = (x^2+2x) + (7x+14)\\

Factor out the GCF from both parenthesis:

g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)

Hence the factors of the given model are (x+2) and (x+7)

Learn more on factorization here: brainly.com/question/25829061

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Suppose there are n people on a bus. At the next stop, 9 more people get on the bus. No one gets of the bus. Draw a bar diagram
nordsb [41]

Answer:

Algebaric Expression & Bar Diagram graphic representation of number of people in bus.

Step-by-step explanation:

No. of people on bus = n

After 9 more boarding & no one deboarding the bus , no. of people = n + 9

Bar diagrams is graphical method for presentation of data. Presenting the given in bar diagram :

7 0
2 years ago
Explain why a set of points that defines a plane cannot be collinear
USPshnik [31]

Answer:

Three non-collinear points determine a plane.

Step-by-step explanation:

This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is

3 0
3 years ago
find the values of x and y that make these triangles congruent by the hl theorem x=2,y=3 x=-2,y=3x=3,y=2x=4,y=8
AnnyKZ [126]

Answer:

The correct option is x=3 , y=2

Step-by-step explanation:

According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

Now we will plug the value y+1 of equation 1 in equation 2.

2x+3 = 3y+3

2(y+1)+3=3y+3

2y+2+3=3y+3

2y+5=3y+3

Now combine the like terms:

5-3=3y-2y

2=y

y=2

Now plug the value y=2 in equation 1.

x=y+1

x=2+1

x=3

Thus the values of(x.y) are{(2,3)}

Therefore the correct option is x=3 , y=2 .....

3 0
3 years ago
(x - 2)² + 6x – 7 Which of the following is equivalent to
podryga [215]

Answer:

x^2 +2x-3

Step-by-step explanation:

Given

(x - 2)\² + 6x - 7

Required

The equivalent

We have:

(x - 2)\² + 6x - 7

Expand

(x - 2)\² + 6x - 7 = x^2 -2x-2x +4 +6x - 7

Collect like terms

(x - 2)\² + 6x - 7 = x^2 -2x-2x+6x +4  - 7

(x - 2)\² + 6x - 7 = x^2 +2x-3

Hence, the equivalent is:

x^2 +2x-3

6 0
3 years ago
Need help asap!!!!!!!
kherson [118]

Answer:

Multiplication

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
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