Completing the square is done as follows:<span>
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
</span>x^2 – 6x = 5<span>
2. Make sure that the coefficient of the x^2 term is 1.
</span>x^2 – 6x = 5<span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
</span>x^2 – 6x + 9 = 5 + 9<span>
(x-3)^2 = 14
Therefore, 9 should be added to both sides to complete the square.</span>
The length for the sides of the rug could be 4 feet, 4 feet, and 4 feet.
Answer:
Lisa's percentage of error regarding the weight of the dog was 57.14%.
Step-by-step explanation:
Given that the German Shepard actually weighs 28 pounds, but Lisa thought the dog weighed 44 pounds, to determine what is the percent error the following calculation must be performed:
28 = 100
44 = X
(44 x 100) / 28 = X
4,400 / 28 = X
157.14 = X
157.14 - 100 = 57.14
Thus, Lisa's percentage of error regarding the weight of the dog was 57.14%.
V = 25,364.4 cm^3 Is volume
r = 2.7g/cm^3 Is density
To calculate mass you use formula:
m= V*r
To avoid remembering this formula you can see the type of unit on each given variable. We can see that we have g/cm^3 and cm^3. If we multiply them, we negate cm^3 and cm^3 and we are left with g which is unit for mass.
m = 68,486,6 g is the answer.
The curve is represented by f(x) = sin 320πx