Don't let them fool you. This is algebra.
1
a. Replacing equals with equals
b. Adding -12 to both sides
c. Multiplying both sides by 1/9
2
a. Associativity, replacing equals
b. Adding -8 to both sides
c. Multiplying both sides by 1/9
3
a. Distributive law
b. Adding -6x to both sides
c. Multiplying both sides by -1
4.
a. Replace equals with equals
b. Add -6m to both sides
c. Add -5 to both sides
d. Multiply both sides by 1/2
5. Symmetric property
6. Distributive property
7. Reflexive property
8. Transitive property
Answer:
- 2/5
Step-by-step explanation:
Answer
Have an nice day and good luck
Total length of stick = 42 inches.
Let the shorter piece be x inches.
Thus, the longer piece is 2x.
2x + x = 42
3x = 42
x = 14
Therefore, the length of the two pieces are 14 inches and 28 inches.
Answer:
attached below
Step-by-step explanation:
The Function; F(x) = x^2 / (x^4 + 81 )
power series representation
F(x) = x^2 / ( 81 + x^4 )
= ( x^2/81 ) / 1 - ( -x^4/81 )
attached below is the remaining part of solution
The prism has 6 faces.
Each pair of opposite faces is congruent.
The front and back faces are rectangles that measure 10 cm by 5 cm.
The right and left faces are rectangles that measure 5 cm by 3 cm.
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Now we find the area of each rectangle.
The front and back faces are rectangles that measure 10 cm by 5 cm.
Each face:
A = 10 cm * 5 cm + 50 cm^2
The right and left faces are rectangles that measure 5 cm by 3 cm.
Each face:
A = 5 cm * 3 cm = 15 cm^2
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Each face:
A = 10 cm * 3 cm = 30 cm^2
There are two faces shaped like each rectangle above, so we multiply each rectangle's area by 2, and we add them together.
total surface area = 2 * 50 cm^2 + 2 * 15 cm^2 + 2 * 30 cm^2
total surface area = 100 cm^2 + 30 cm^2 + 60 cm^2
total surface area = 190 cm^2
