Simplify.7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54A) 11 square root of 6 end root minus 7 square root of 12
B) 11 square root of 3 end root minus 7 square root of 6
C) negative 3 square root of 9
D) 4 square root of 9

Answers

Answer 1
Answer:

The simplest form of the expression ''7 square root of 3 end root minus 4 square root of 6 end root plus the square root of 48 end root minus the square root of 54'' would be, ''11 square root of 3 end root minus 7 square root of 6''. Hence, option B is true.

Used the concept of the square root of a number that states that,

The square root of a number is the number that, when multiplied by itself, gives the original number.

Given that the expression is,

7 square root of 3 end root minus 4 square root of 6 end root plus the square root of 48 end root minus the square root of 54.

Now, the mathematical form of the expression is,

7√(3) - 4√(6) + √(48) - √(54)

Simplify each term,

7√(3) - 4√(6) +4 √(3) - 3√(6)

Combine like terms,

7√(3) +4 √(3) - 4√(6) - 3√(6)

11√(3) - 7√(6)

It can be written as,

11 square root of 3 end root minus 7 square root of 6.

Hence, option B is true.

To learn more about square root visit:

brainly.com/question/428672

#SPJ6

Answer 2
Answer: 7√(3)-4√(6)+√(48)-√(54)=7√(3)-4√(6)+√(16*3)-√(9*6)\n=7√(3)-4√(6)+4√(3)-3√(6)=11√(3)-7√(6)

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A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is​

Answers

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

  • For a triangle to be right angle triangle,

           c^2=a^2+b^2

       By this law it is observed that,

  • For a triangle to be acute angle triangle,

         c^2<(a^2+b^2)

  • For a triangle to be obtuse angle triangle,        

        c^2>(a^2+b^2)

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

c^2=5^2\nc^2=25

Other two sides,

a^2+b^2=3.8^2+3.7^2\na^2+b^2=14.44+13.69\na^2+b^2=28.13

Therefore,

25<28.13\n

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

Learn more about the type of triangle here;

brainly.com/question/2644832

It is a scalene triangle because none of the sides are the same!

What is the greatest number of acute angles that a traingle can contain?

Answers

Answer:

A triangle, by definition, has three sides and three angles. In a triangle, the sum of the angles is always 180 degrees. In order for an angle to be considered "acute," it must be less than 90 degrees.

So, to find the greatest number of acute angles that a triangle can contain, we need to maximize the number of angles that are less than 90 degrees. Since there are only three angles in a triangle, and the sum of the angles must be 180 degrees, the maximum number of acute angles a triangle can contain is three.

Therefore, a triangle can contain a maximum of three acute angles.

Find the mean 449, 450, 419, 448, 479, 410, 446, 465, 415, 455, 345, 305, 491, 479, 390, 393, 403, 298, 503, 327, 460, 351, 409, 319

Answers

The mean is 412.875 to find the mean find the sum of the values by adding them all up. Divide the sum by the number of values in the data set

Through:
(-4,2) and (-3,-3)

Answers

Answer:

m=-5

Step-by-step explanation:

In which situation would you opt for a car lease?A. You don't like to drive, and would prefer the services of a driver.
B. You want to buy a car, and keep it for a long period of time.
C. You like to change cars frequently without the hassles of selling and trading them.

Answers

There are several reasons why a person may opt for a car lease. The main reason is that a person may like to change frequently without the hassles of selling and trading them.

Can someone pleeeeeasssse help with 3x-2/x^2-2x-3 divided by 1/x-3

Answers

If im correct your final answer should be 2x-3/(x+1)(x-3). #TeamAlvaxic