Answer:
y = x + 1
Step-by-step explanation:
Answer:
C. 84
Step-by-step explanation:
To make it easier to find the total area, you should break the shape into two parts, a triangle and a rectangle.
Step 1:
To find the rectangle area we now we have to multiply <em>l * w</em>
In this case, the length is 12 and the width is 4 so 12*4 = 48
Step 2:
To find the area of the triangle you have to do the formula A = 1/2bh where b is the base 12, and h is the height (10-4) 6. So 6*12 = 72 and 72/2 is 36
Step 3:
Last you need to add the area of both the rectangle and the triangle to get the total area of 84 sq meters
Have a good day!!!
We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus,
Nesterboy [21]
Answer:
![U = x](https://tex.z-dn.net/?f=U%20%3D%20x)
![V=10](https://tex.z-dn.net/?f=V%3D10)
Step-by-step explanation:
Given
![(x +3)^2 + 14(x + 3) + 49 = (U + V)^2](https://tex.z-dn.net/?f=%28x%20%2B3%29%5E2%20%2B%2014%28x%20%2B%203%29%20%2B%2049%20%3D%20%28U%20%2B%20V%29%5E2)
Required
Find U and V
We have:
![(x +3)^2 + 14(x + 3) + 49 = (U + V)^2](https://tex.z-dn.net/?f=%28x%20%2B3%29%5E2%20%2B%2014%28x%20%2B%203%29%20%2B%2049%20%3D%20%28U%20%2B%20V%29%5E2)
Expand
![x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%209%20%2B%2014x%20%2B%2042%20%2B%2049%20%3D%20%28U%20%2B%20V%29%5E2)
Collect like terms
![x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%2014x%20%2B%209%20%2B%2042%20%2B%2049%20%3D%20%28U%20%2B%20V%29%5E2)
![x^2 + 20x + 100 = (U + V)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%2020x%20%2B%20100%20%3D%20%28U%20%2B%20V%29%5E2)
Expand
![x^2 + 10x + 10x + 100 = (U + V)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%2010x%20%2B%2010x%20%2B%20100%20%3D%20%28U%20%2B%20V%29%5E2)
Group
![[x^2 + 10x] + [10x + 100] = (U + V)^2](https://tex.z-dn.net/?f=%5Bx%5E2%20%2B%2010x%5D%20%2B%20%5B10x%20%2B%20100%5D%20%3D%20%28U%20%2B%20V%29%5E2)
Factorize each group
![x[x + 10] + 10[x + 10] = (U + V)^2](https://tex.z-dn.net/?f=x%5Bx%20%2B%2010%5D%20%2B%2010%5Bx%20%2B%2010%5D%20%3D%20%28U%20%2B%20V%29%5E2)
Factor out x + 10
![[x + 10][x + 10] = (U + V)^2](https://tex.z-dn.net/?f=%5Bx%20%2B%2010%5D%5Bx%20%2B%2010%5D%20%3D%20%28U%20%2B%20V%29%5E2)
So, we have:
![[x + 10]^2 = (U + V)^2](https://tex.z-dn.net/?f=%5Bx%20%2B%2010%5D%5E2%20%3D%20%28U%20%2B%20V%29%5E2)
By comparison
![U = x](https://tex.z-dn.net/?f=U%20%3D%20x)
![V=10](https://tex.z-dn.net/?f=V%3D10)
Answer:
The cost of one bag of diapers is $11 and the cost of one can of formula is $13
Step-by-step explanation:
Let
x -----> the cost of one bag of diapers
y ----> the cost of one can of formula
we know that
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (11,13)
see the attached figure
therefore
The cost of one bag of diapers is $11 and the cost of one can of formula is $13
2 hours : 6 km
3 hours : 9 km
3.5 hours : 10.5 km