Answer:
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
Step-by-step explanation:
Slope formula: m = (x' - x)/(y' - y)
m-AD: (6-3)/(-5 - -9) = 3/4 (I'm not detail other Other slopes)
m- BC = 3/4
m-AB = - 4/3
m-AD = m-BC AD // BC (ABCD is a Trapezoid)
m-AB = - 1 / m-BC
AB ⊥ BC
segment length formula: d = √(x' - x)² + (y' - y)²
AD = √(-5 - -9)² + (6 - 3)² = √4² + 3² = √25 = 5
DC = √50 = 7.1
BC = √100 = 10
AB = √25 = 5
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
area ABCD = (5+10)x5 / 2 =
You can solve a system using substitution, elimination, or graphing method.
If you solve using substitution or elimination, the variable will cancel out on both sides and you will be left with a number equal to a number. If "number = number" is a TRUE statement, then the solution is ALL Real Numbers. <em>If it is a FALSE statement, then you will have NO solutions.</em>
If you solve using the graphing method and the lines are exactly the same, then the solution is Infinite solutions (aka ALL Real Numbers). <em>If the lines are parallel, then you will have NO solution.</em>
Answer:
,
Step-by-step explanation:
First, simplify the denominator. Ignore the numerator for the time being.
To simplify it, we need to multiply each numerator by the opposite's denominator so we can add them together:
![\frac{1(x+2)}{x(x+2)} + \frac{1(x)}{x(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%28x%2B2%29%7D%7Bx%28x%2B2%29%7D%20%2B%20%5Cfrac%7B1%28x%29%7D%7Bx%28x%2B2%29%7D)
You can simplify this to get
![\frac{2x + 2}{x^2 + 2x}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20%2B%202%7D%7Bx%5E2%20%2B%202x%7D)
So this is your denominator when simplified. To simplify the entire fraction, we need to divide it. We can do this by reversing the numerator and denominator of the bottom fraction to
. This is done when dividing fractions by fractions.
Now, it should look something like this:
![\frac{x}{x+2} *\frac{x^2+2x}{2x+2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%2B2%7D%20%2A%5Cfrac%7Bx%5E2%2B2x%7D%7B2x%2B2%7D)
This is equal to
![\frac{x^2(x+2)}{(x+2)(2x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%28x%2B2%29%7D%7B%28x%2B2%29%282x%2B2%29%7D)
Seeing as there is a (x+2) on both the numerator and the denominator, you can eliminate it from the equation to get this:
![\frac{x^2}{2(x+1)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B2%28x%2B1%29%7D)
Since i bought 1 tray of chips, and a cake, the equation is:
![$9.25 + 24 = 33.25](https://tex.z-dn.net/?f=%249.25%20%2B%2024%20%3D%2033.25)
Now for the pizza, since i bought 4 pizzas for 10.50 each, with 1/3 off. The equation is:
![10.50 * 4 = 42](https://tex.z-dn.net/?f=10.50%20%2A%204%20%3D%2042)
The special is 1/3 for the pizzas:
![1/3 * 42 = 14](https://tex.z-dn.net/?f=1%2F3%20%2A%2042%20%3D%2014)
Now adding the prices its:
![33.25 + 14 = 47.25](https://tex.z-dn.net/?f=33.25%20%2B%2014%20%3D%2047.25)
The total: $47.25
<em>you're welcome :D</em>