Answer:
So the correct answer is"none of the above".
Step-by-step explanation:
z+(z+6)=z+z+6=2z+6. \\ \\ (z+z)+(z+6)=z+z+z+6=3z+6. \\ \\ (z+6)+6=z+12 \\ \\
Answer:
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of 
would be 2, and in the case of 
the value would be 2. This would result in the equation: 
. Then simply combine like terms to get your final answer.
Answer:
The distance between the two points is 13 units.
Step-by-step explanation:
take the test
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
Subtract 1 from both sides
3 - 1 = -2x
Simplify 3 -1 to 2
2 = -2x
Divide both sides by -2
-1 = x
Switch sides
<u>x = -1</u>
