Factor the difference of cubes. Select prime if the polynomial cannot be factored

Answer:

x = 31.8

Step-by-step explanation:

From the picture attached,

By applying Pythagoras theorem in right ΔADC,

AC² = AD² + CD²

(22)² = AD² + (16)²

AD² = 484 - 256

AD = √228

     = 2√57

Now we apply Pythagoras theorem in right ΔADB,

AB² = AD² + DB²

x² = 228 + (44 - 16)²

x² = 228 + 784

x² = 1012

x = √1012

  = 31.81

  ≈ 31.8

The side x is an hypotenuse side to one of the right triangles formed by

altitude of the given triangle that has solid lines.

x is approximately 31.812

Reasons:

The figure shows a triangle with an altitude that forms two triangles inside

the main triangle.

By Pythagoras's theorem, we have;

For the right triangle on the left;

22² = h² + 16²

h² = 22² - 16² = 228

h² = 228

h = √228 = 2·√57

h = 2·√57

In the right triangle to the right, we have;

The length of the top base, b = 44 - 16 = 28

The square of the hypotenuse, x² = h² + b²

∴ x² = 228 + 28² = 1012

x = √(1012) = 2·√253

x = 2·√253 ≈ 31.812

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Answer:

2 yards

Step-by-step explanation:

10 divided by 5 is 2

Answer:

9x^2-12y^2-11x

Step-by-step explanation:

I took the test.

Answer:

a

Step-by-step explanation:

Answer:

The answer is

A ) 30

Step-by-step explanation:

For every 4 girls in the class, there is 1 boy.

24/4 = 6

24 + 6 = 30

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

A) there are 18 total, 6/18 is 1/3

B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9

Answer:

49 games

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6

Answer:

C

Step-by-step explanation:

It gib the funny check mark

Answer:

1982

Step-by-step explanation:

1934 + 42= 1982

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

Answer:

hmmmmmmmmmmmmmmmmmmmm

Answer:

The answer is y=3, my friend. I hope your grade gets better <3

Step-by-step explanation:

Answer:

The value of y is 3

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

Step-by-step-explanation

The first thing you would do is multiply both numbers inside the parenthesis by -3.

You would get -21 + (-15) or you could just wrtie -21 - 15, whichever is easier for you.

Then you'd simply add both -21 and -15 together, and you get -36. :D

Answer:

0.6069

Step-by-step explanation:

Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For x = 108 miles

z = ( 108 - 120)/24

z = -0.5

Probability value from Z-Table:

P(x = 108) = 0.30854

For x = 153 miles

z = (153 - 120) /24

= 1.375

Probability value from Z-Table:

P(x = 153) = 0.91543

The probability that a truck drives between 108 and 153 miles in a day is

P(x = 153) - P( x = 108)

0.91543 - 0.30854

= 0.60689

Approximately = 0.6069

Answer:

Yes it is a polynomial function

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Answer:

wish to be in this level. But not so. hmmm

Answer:

(6,0)

Step-by-step explanation:

Got it right on Edge 2020:)

Answer:

45/8 or 5 5/8

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

HERE

:)

Answer:

a

Step-by-step explanation:

because you can't divide by 2 yet

The first step is Add 8 to both sides of the equation

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x - 8= 20

Now, first step to solve the equation is

Add 8 on both side

2x- 8 +8 = 20 + 8

2x= 28

and, divide both side by 2

x= 28/2

x= 14

Hence, the first step is Add 8 to both sides of the equation

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Answer:

= -1.8f-19

Step-by-step explanation:

- Add the similar elements which would give you -1.8f-15-4

- Then subtract -15-4 which gives you -19

Answer:

5/21

Step-by-step explanation:

5/3/7=?

so 5/3 *1/7=5/21

so 5/21 is your answer

Answer:

261.48

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Answer:

4.5%

Step-by-step explanation:

Answer:

4.5%

Step-by-step explanation:

Answer:

it would be 700

Step-by-step explanation:

because if you are adding 350 plus 350 then you would get 700

When a number is divided by another number then it gives a quotient and a remainder. The two different solutions to the given problem is given as 26 tickets of one kind and one ticket of the remaining $12.

Euclid's division lemma can be written in mathematical form as

P = QS + R, where a number P divided by number s gives a quotient Q and a remainder R.

It is applicable to both numbers and algebraic expressions.

Given that,

Total amount for buying tickets is $350

Total number of tickets to be bought is 26.

Since the total money available is $350 for 26 tickets, the expression for price of each ticket can be written as,

P = 26t + r

Here, t is the amount for one type of ticket and r is money remained after buying tickets.

The solution to the given division gives quotient as 13 and remainder as 12.

It implies to buy tickets of each kind, 26 tickets can be bought.

And, in order to utilize the amount completely the remaining $12 can be used to buy another kind of ticket.

Hence, the two different solutions to this problem are 26 tickets of one kind and one ticket of another kind for the remaining $12.

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Answer:

cheetah, 3 hours antelope, 5 lion, 6 elephant, 10

Step-by-step explanation:

The time taken by each animal to reach another jungle are:

Cheetah = 3 hours

Antelope = 5 hours

Lion = 6 hours

Elephant = 10 hours

Speed is a scalar quantity that refers to how fast an object is moving.

Given are the speeds of different animals,

Cheetah = 50 mph

Antelope = 30 mph

Lion = 25 mph

Elephant = 15 mph

Speed = distance/time.

Time = distance/speed

Distance = 150 miles

Time taken by each :

Cheetah = 150/50 = 3 hours

Antelope = 150/30 = 5 hours

Lion = 150/25 = 6 hours

Elephant = 150/15 = 10 hours

Hence, The time taken by each animal to reach another jungle are:

Cheetah = 3 hours

Antelope = 5 hours

Lion = 6 hours

Elephant = 10 hours

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Answer:

1.6

Step-by-step explanation:

Hope this helps! :-)

check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

Answer:

It would travel 320 miles in 8 hours

Step-by-step explanation:

200 divide by 5 equals 40

40 x 8= 320

Answer: 320 miles

You divide 200 from 5, which gives you 40. Then, you multiply 40 times 8, giving you 320.

p.s. I know someone already answered this question, but I just needed to respond to any kind of question.