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Leviafan [203]
3 years ago
7

Express each answer in simplified radical form. . 18√5−12√5=?

Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer: Hello mate!

our equation is 18√5−12√5 and we want to simplify it.

Simplification is triyng to "eliminate" all the roots (if possible). In our equation we have a square root of 5, wich is a problem, but let's se wat we can do:

18√5−12√5

= (18 - 12)√5

= 6√5

and we can not simplify furthermore, because the √5 cant be simplifyed.

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Roy and Sam start solving the equation as follows.
denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

-3x+4=5x-6

According to the addition property of equality a=b and a+c=b+c are equivalent equations.

Use addition property of equality, add 3x on both the sides.

-3x+4+3x=5x-6+3x

4=8x-6

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality a=b and a-c=b-c are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

-3x+4-5x=5x-6-5x

-8x+4=-6

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

7 0
3 years ago
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
mart [117]

Answer:

The area is 11317.51

Step-by-step explanation:

The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.

b+c<a

133+174 < 240

A triangle can be formed

To use Herons formula for the area

We find S = 1/2( a+b+c)

                 = 1/2(240+133+174)

                 =  1/2 (547)

                     = 273.5


Area = sqrt( S (S-a) (S-b)(S-c))

           sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))

           sqrt((273.5)(33.5) (140.5) (99.5))

            sqrt(128085964.4)

           11317.50699

The area is 11317.51

5 0
4 years ago
_9) What are the solutions of the equation (x – 3)2 + 2(x – 3) - 8 = 0?
Mashcka [7]

Answer:

Step-by-step explanation:

Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.

8 0
3 years ago
The quotient of a number tripled and 5
Verdich [7]

This would be displayed as

3x/5

5 0
3 years ago
hawnda incorrectly found the distance between -26 and 25 by following these steps: Step 1: |25 – (-26)| Step 2: |25 – 26| Step 3
tekilochka [14]

Answer:

Step 2

Step-by-step explanation:

Step 2 is not correct. It should be abs(25 - - 26) = abs(25 + 26) = 51

Given that Step 2 is accepted (as - 1) then three is OK and and so is 4. But technically they are incorrect as well. I think you are likely to say that step 2 is the problem.

7 0
3 years ago
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