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
Answer:
C. (2,1)
Step-by-step explanation:
Shortest leg in triangle ABC is leg AB, shortest leg in triangle A'B'C' is leg A'B'.
Find distances AB and A'B':
So, the coefficient of similarity is (triangle A'B'C' is of triangle ABC).
If we go from point B to point C 14 units down and 4 units left, then we go from point B' to point C' 7 units down and 2 units left.
If point B' has coordinates (4,8), then point C' has coordinates (4-2,8-7) that is (2,1).
Answer:
im going so asume you mean a 6 sided dice since thats the most common
(i) 16 2/3%
(ii) 0%
(iii) 16 2/3
(iv) (2,3,5) 50% (1,2,3,5) 66 2/3%
(v) 50%
(vi) 50%
(vii) 33 1/3
Hope This Helps!!!
5/5 is less that 2 3/4 because 5/5 is equal to 1 and 2 3/4 is already greater than 1
There are 3 terms : 7x , 4y, and 1.
a term is separated by any math symbol
examples are =, +, *