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3 years ago

If the side of the square is (4x-2y) what is the perimeter of the square

Mathematics

1 answer:

Luda [366]3 years ago

3 0

The perimeter of a square is a^2. In this case a= (4x-2y) so a^2=(4x-2y)^2 , a^2={16(x)^2-16xy+4(y)^2}

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Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets

Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x + y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0

3 years ago

Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1

weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

$f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})$

This gives

$f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})$

Evaluate the products

$f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})$

Evaluate the like terms

$f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}$

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

7 0

1 year ago

PLEASEEEEEE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU

Artemon [7]

Answer:

x=9 and z=83

Step-by-step explanation:

First you subtract 97 from 180 because that gives you z because 180 is a flat angle and 83 plus 97 gives 180. For x the opposite angle is also 97 so you set the equation 5x + 52 = 180 and you solve for x to get the x value. Hope this helps :)

6 0

3 years ago

When writing twenty-one-and-a-half-trillion in scientific notation, what is the exponent needed on the base ten?

Nat2105 [25]

1 trillion is 10^9.

Thus, 21 1/2 trillion is 21 1/2 times 10^9, or 2.15 times 10^10

Hope this helps. If not, ask for clarification.

5 0

3 years ago

Read 2 more answers

3. Which property justifies rewriting

Maksim231197 [3]

B distributive property

7 0

2 years ago