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3 years ago

(x-2)(x+2) Find The Product?

2 answers:

5 0

(x-2)*(x+2) = x*(x+2) - 2*(x+2)

(x-2)*(x+2) = x*x + x*2 - 2*x - 2*2

(x-2)*(x+2) = x^2 + 2x - 2x - 4

(x-2)*(x+2) = x^2 - 4

That's the long way to do it. You can use the difference of squares formula as a shortcut

(a-b)*(a+b) = a^2 - b^2

(x-2)(x+2) = x^2 - 2^2

(x-2)(x+2) = x^2 - 4

either way, the final answer is x^2 - 4

jekas [21]3 years ago

4 0

(X-2)(x+2)
So use "f.o.i.l" meaning you multiply each first term, the outside terms, the inside terms and last terms, and then add. You'd get x^2-4 in this example

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Is 1.7 greater than 1 7/9

Simora [160]

17 = 1 7/10

1.7 < 1 7/9

1.7 is less than 1 7/9

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3 years ago

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A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

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2 years ago

What is the diameter of a circular swimming pool with a radius of 8 feet?

Alenkasestr [34]

We know that,

diameter is twice the radius, I.e d = 2r

Now d = 2(8)ft = 16 feet

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2 years ago

The figure below is a right rectangular prism. which expression represents the volume of the prism?

Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:

" right rectangular prism " ; is represented by:

____________________________________________________

→ " V = L * w * h " ;

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in which: all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;

and in which:

" V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as: "units³ " ; or, [insert the particular units used}^ ³ " ;

→ that is, [units] raised to the "3rd [third] power" ; assuming these units are the same same "fundamental units of measurement" as the "other 2 (two) values in the expression".

If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ; of a "right rectangular prism" as: " units ³ " ; or "cubic units" ;

in our answer— if we are asked to solve for the:

"volume; "V"; of a "right rectangular prism" ;

_________________________________________________

and in which:

"L" represents the "length" of a "right rectangular prism" ;

"w" represents the "width" of a "right rectangular prism" ;

"h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

Say we have a "right rectangular prism" ; with the given measurements:

width , "w" : w = 2 units;

length, "L" : L = 3 units ;

height, "h" : h = 8 units.

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We are asked to "find the volume " ; of this "right recentangular prism" .

The formula for the volume; "V" ; of this "right rectangular prism" ;

is:

_________________________________________________

→ Volume = Length * width * height ;

that is:

→ V = L * w * h ;

Solve for the volume; "V" .

_________________________________________________

→ V = L * w * h ; Now plug in the values given:

→ V = (3 units) * (2 units) * (8 units) ;

= 3 * 2 * 8 * (units) * (units) * (units) ;

= 3 * 2 * 8 * units ³ ;

= 48 units ³ .

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Hope this answer— and explanation—is helpful to you!

Wishing you the best in your academic pursuits

— and within the "Brainly" community!

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4 0

2 years ago

Read 2 more answers

32 people volunteers to donate blood. n dident have he health requirment so they couldent donate the rest of the volunteers dona

Vesna [10]

Answer:

the equation representing total amount of blood donated is $470(32-n)=15040-470n \ ml$ .

Step-by-step explanation:

Total number of volunteers = 32

number of volunteers couldn't donate blood = $n$ .

So Number of volunteers who donated blood can be calculated by subtracting number of volunteers couldn't donate blood from Total number of volunteers.

Framing in equation form we get;

So, the number of remaining volunteers who donated blood = $32-n$ .

Each of these volunteers donated blood = 470 ml

Now Total Amount of Blood donated is equal to Amount each of these volunteers donated blood times the number of volunteers who donated blood.

Framing in the equation form we get;

total amount of blood donated milliliters = $470(32-n)=15040-470n \ ml$

Hence the equation representing total amount of blood donated is $470(32-n)=15040-470n \ ml$ .

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3 years ago