The area of the house is the amount of space on the house.
- The length of the addition is x + 20
- The area of the original house is
![x^2 + 30x + 200](https://tex.z-dn.net/?f=x%5E2%20%2B%2030x%20%2B%20200)
<h3>The length of the addition</h3>
The area of the addition is given as:
![Area = x^2 + 10x - 200](https://tex.z-dn.net/?f=Area%20%3D%20x%5E2%20%2B%2010x%20-%20200)
Expand
![Area = x^2 + 20x - 10x - 200](https://tex.z-dn.net/?f=Area%20%3D%20x%5E2%20%2B%2020x%20-%2010x%20-%20200)
Factorize
![Area = x(x + 20) - 10(x + 20)](https://tex.z-dn.net/?f=Area%20%3D%20x%28x%20%2B%2020%29%20-%2010%28x%20%2B%2020%29)
Factor out x + 20
![Area = (x -10)(x + 20)](https://tex.z-dn.net/?f=Area%20%3D%20%28x%20-10%29%28x%20%2B%2020%29)
The width of the addition is x - 10.
Hence, the length of the addition is x + 20
<h3>The area of the original house</h3>
The dimension of the original house is
x + 20 by x + 10
So, the area is:
![Area =(x + 20)(x + 10)](https://tex.z-dn.net/?f=Area%20%3D%28x%20%2B%2020%29%28x%20%2B%2010%29)
Expand
![Area =x^2 + 20x + 10x + 200](https://tex.z-dn.net/?f=Area%20%3Dx%5E2%20%2B%2020x%20%2B%2010x%20%2B%20200)
This gives
![Area =x^2 + 30x + 200](https://tex.z-dn.net/?f=Area%20%3Dx%5E2%20%2B%2030x%20%2B%20200)
Hence, the area of the original house is ![x^2 + 30x + 200](https://tex.z-dn.net/?f=x%5E2%20%2B%2030x%20%2B%20200)
Read more about areas at:
brainly.com/question/24487155
Answer:
and?
Step-by-step explanation:
Answer:
email the picture to me email: 4804169663atstudents,ocps,net
Step-by-step explanation:
Answer:
C. 490.
Step-by-step explanation:
25% = 0.25.
If the number of emails that Ryan and Taylor each received is x emails then Sara received 2x + 0.25 * 2x = 2.5 emails.
So 2x + 2.5x = 882
x = 882/4.5
x = 196.
So Sara received 2.5 * 196
= 490 emails.
In Graph x-axis represents number of visits and y-axis represents cost.
As graph comes up to be a linear one, so we can clearly say that cost is increasing linearly in multiples of 5.5 with increase in number of visits.
Example :
If museum is visited once then cost (y) = 5.5 x 1 = 5.5
If museum is visited twice then cost (y) = 5.5 x 2 = 11
If museum is visited thrice then cost (y) = 5.5 x 3 = 16.5
... cost (y) goes on in creasing when number of visits (x) increase with multiples of 5.5