Answer:
![(x^{2}-x-2)\ units^{2}](https://tex.z-dn.net/?f=%28x%5E%7B2%7D-x-2%29%5C%20units%5E%7B2%7D)
Step-by-step explanation:
step 1
Calculate the area of the shaded portion
![A1=(2x+3)(x+1)\\ \\A1=2x^{2}+2x+3x+3\\ \\A1=(2x^{2}+5x+3)\ units^{2}](https://tex.z-dn.net/?f=A1%3D%282x%2B3%29%28x%2B1%29%5C%5C%20%5C%5CA1%3D2x%5E%7B2%7D%2B2x%2B3x%2B3%5C%5C%20%5C%5CA1%3D%282x%5E%7B2%7D%2B5x%2B3%29%5C%20units%5E%7B2%7D)
step 2
Calculate the area of the unshaded portion
![A2=(x+5)(x+1)\\ \\A2=x^{2}+x+5x+5\\ \\A2=(x^{2}+6x+5)\ units^{2}](https://tex.z-dn.net/?f=A2%3D%28x%2B5%29%28x%2B1%29%5C%5C%20%5C%5CA2%3Dx%5E%7B2%7D%2Bx%2B5x%2B5%5C%5C%20%5C%5CA2%3D%28x%5E%7B2%7D%2B6x%2B5%29%5C%20units%5E%7B2%7D)
step 3
Find the difference of the areas
![A1-A2=(2x^{2}+5x+3)-(x^{2}+6x+5)=(x^{2}-x-2)\ units^{2}](https://tex.z-dn.net/?f=A1-A2%3D%282x%5E%7B2%7D%2B5x%2B3%29-%28x%5E%7B2%7D%2B6x%2B5%29%3D%28x%5E%7B2%7D-x-2%29%5C%20units%5E%7B2%7D)
There will be 60 rainbow colored balloons.
150/5 = 30
2 times 30 = 60
2/5 = 0.4
60/150 = 0.4
Answer:
Infinite
Step-by-step explanation:
Get both in the form y = first.
12x - 4y = -8
-4y = -8 - 12x
y = 2 + 3x
y = 3x + 2
These are the same line so all points are the same so that means there are infinite answers.
If ONLY the number in front of the x was the same there would be 0 answers, they would be parallel lines, and if the number in front of the xs were different there would only be one answer.
Answer:
13 1/2 smoothies
Step-by-step explanation:
i divided 7 1/4 and 2/3 and then i turned it into a mixed number to get the answer as a fraction. And if you need it as a decimal i got 10.8
Answer:
x=13i, -13i
Step-by-step explanation:
Take the square root of both sides which gives you plus or minus the square root of -169. Then you get plus or minus 13times the square root of negative 1. Now you can say that x equals positive or negative 13i