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2 years ago

Which polynomial expression represents the area of the outermost square tile, shown below?

Mathematics

2 answers:

Andreyy892 years ago

8 0

A= sides²
A = (x+3)²
A = (x + 3) (x + 3)
Next step is to FOIL.
x² + 3x + 3x + 9
x² + 6x + 9

Serggg [28]2 years ago

7 0

Answer: The expression of polynomial that represents the area of the square is $x^2+6x+9$

Step-by-step explanation:

Since we have given that

Length of square shaped tile = (x+3)

We have to find the area of the outermost square tile:

As we know the formula for "Area of square":

$Area=Side^2\\\\Area=(x+3)\times (x+3)\\\\Area=(x+3)^2\\\\Area=x^2+6x+9$

Hence, the expression of polynomial that represents the area of the square is $x^2+6x+9$

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Simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls o

ludmilkaskok [199]

Answer:

It would be a 3/4 chance that he will pull the right 4 coins.

Step-by-step explanation:

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2 years ago

Given CS=2x+1, SB=6x, CR=7.5, and RA=18. What must the value of x be in order to prove SR || BA? Justify your answer

dangina [55]

The picture in the attached figure

we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA. CS / CB = CR / CA
which can also be written as,
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25

the answer is
x=3.25

4 0

2 years ago

The function f(x)=tan(3/2x-pi/2) has:

zlopas [31]

I think the best option here is B. <span>period 2pi/3 and asymptote at x=0
</span>because period of tanx is pi so period of tan(3/2x) is pi/(3/2) = 2pi/3. I hope this can work good for you.

3 0

2 years ago

A manager receives 8 applications for a specific position. She wants to narrow it down to 5. In how many ways can she rank 5 app

nata0808 [166]

Answer:

56 number of ways

Step-by-step explanation:

This question is a combination question since it involves selection.

Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5

8C5 = 8!/(8-5)!5!

= 8!/3!5!

= 8*7*6*5!/3*2*5!

= 8*7*6/3*2

= 8*7

= 56 number of ways.

This means that the manager can rank 5 applications in 56 number of ways

7 0

2 years ago

The data plan for Shawn's phone has 32,000 megabytes of storage for

olga nikolaevna [1]

Answer:

Yes she 1280 megabytes of additional 4% data and requires 1000 megabytes to upload 200 photos

Step-by-step explanation:

Given:

Data Plan for Shawn's Phone = 32000 megabytes.

She want to increase the data by 4% = $\frac{4}{32000}\times 100$ = 1280 megabytes

Each Photo uses 5 megabytes so 200 additional Photo will require = $5\times200= 1000\ megabytes$

She has 1280 megabytes of additional data and requires 1000 megabytes to upload 200 photos, so she have enough memory to do so.

4 0

2 years ago