The length of “L” is 14.
Hope this helps you!!
Answer:
12π
Step-by-step explanation:
The circumference is the distance you need to walk to do 1 full rotation of a shape. The formula to calculate the circumference of a circle will be
circumference =2πr
where π is a constant that equal to 3.14 or 22/7 and r is the radius of the circle (radius = 6 feet).
The circumference of this circle will be:
circumference =2πr
circumference =2π(6)
circumference =12π
Given:
2x² + 8x - 12 = 0
Solution:
The first term 2x² can't be changed to a complete square form. If we want to change it to the complete square form, we need to change 2x² to 4x². So, multiply both sides of the equation by 2
2x² + 8x - 12 = 0
------------------------- multiplied by 2
4x² + 16x - 24 = 0
then change it to complete quadratic form by adding 16 to both sides
4x² + 16x - 24 = 0
4x² + 16x + 16 - 24 = 16
4x² + 16x + 16 = 16 + 24
4x² + 16x + 16 = 40
(2x + 4)(2x + 4) = 40
(2x + 4)² = 40
This is the complete quadratic form of the equation.
Because there is no option of the solution, we can modify the equation by multiplying the two sides by a square number. I multiply the equation by 4.
(2x + 4)² = 40
4 (2x + 4)² = 4 × 40
4 (2x + 4)² = 160
4 (2x + 4)(2x + 4) = 160
2(2x + 4) 2(2x + 4) = 160
(4x + 8)(4x + 8) = 160
(4x + 8)² = 160
The answer is option b
<h2>Answer</h2>
Janice convert a mixed number to the wrong improper fraction
<h2>Explanation</h2>
To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the result to the numerator of the fraction; while keeping the denominator of the fraction as the denominator of the improper fraction.
Let's convert our mixed numbers to improper fractions:
To convert 
we multiply the whole number 10 by the denominator of the fraction 6, and then we add the result to the numerator 5:
Now let's convert 
:
Notice that Janice converted as 
, which is incorrect.
Since 
, we can conclude that Janice convert a mixed number to the wrong improper fraction.
