Answer:
x=-5
Step-by-step explanation:
Combine like terms:
2x+4=-2x-16
4x=-20
Solve
x=-5
We need to solve the following system by substituition:
To solve by substituition means that we need to isolate one variable in one of the equations and replace one expression with the other. This is done below:
Then we need to replace the value of "x" in any of the two equations.
The solution is (-3,-5).
Answer:
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative.
Answer:
- small prism: 630 m²
- large prism: 2520 m²
Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
- small prism: 630 m²
- large prism: 2520 m²
Answer:
21.42857143 = n
Step-by-step explanation:
Is means equals and of means multiply
12 = 56% *n
Change the percent to a decimal
12 = .56*n
Divide by .56
12/.56 = .56n/.56
21.42857143 = n
