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soldier1979 [14.2K]
2 years ago
13

A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it​

Mathematics
1 answer:
Lorico [155]2 years ago
7 0

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

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PLEASE ANSWER picture shown
Alexxx [7]
\frac{x}{2} + \frac{7}{9x}
= \frac{x*9x}{2*9x} + \frac{7*2}{9x*2}
= \frac{9x^2}{18x} + \frac{14}{18x}
= \frac{9x^2+14}{18x}

Therefore the answer is B.

Hope this helps !

Photon
5 0
3 years ago
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of
Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so n = 50

4% of the U.S population has blood type AB, so p = 0.04.

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0
3 years ago
Write the product in standard form.<br>(2 - 3i)(2 + i)​
Stels [109]

Answer:

Brainelist?

Step-by-step explanation:

7-4i

just use a online calculator

8 0
3 years ago
Read 2 more answers
Felicity babysat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Felicity wants to calculate her hourl
Virty [35]

Answer:

$9 a hour.

Step-by-step explanation:

2 hours for 10 nights, In total felicity worked for 20 hours.

To hind the hourly rate you would take your number of hours worked ( 20)

and divide it by 180 to see how much felicity got paid for one hour.

<u>180 </u>

<u>20</u>

<u>After dividing you will get the answer 9.</u>

<u />

4 0
3 years ago
What is the length of the hypotenuse of a right triangle with legs or 5cm and 6cm
Oksana_A [137]

Answer:

hypotenuse = squareroot of 61 cm.  which is approximately 7.81025 cm

Step-by-step explanation:

5 squared + 6 squared = hypotenuse squared

square root of (5 squared + 6 squared)= hypotenuse

6 0
2 years ago
Read 2 more answers
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