Answer: 15
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
Step 2: Multiply both sides by 5/2.
The correct answer is -b+12
Answer:
B. 70
Step-by-step explanation:
We have the sum given by ![\sum_{i=1}^{5}(i+11)).](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7B5%7D%28i%2B11%29%29.)
Now, we open the summation by substituting the values of 'i',
i.e.
= (1+11) + (2+11) + (3+11) +(4+11) +(5+11)
i.e.
= 12 + 13 + 14 + 15 + 16
i.e.
= 70.
Hence, the sum of
is 70.
So, option B is correct.
Step-by-step explanation:
![{x}^{2} + 25 = 0 \\ \therefore {x}^{2} = - 25 \\ \therefore {x} = \sqrt{ - 25} \\ \therefore {x} = \pm\sqrt{ - 1 \times 25} \\ \therefore {x} = \pm \sqrt{ 25} \times \sqrt{ - 1} \\ \therefore {x} = \pm5 \: i \\ \therefore {x} = \{ - 5i, \: \: 5i \} \: \\ is \: the \: solution \: set.](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%2025%20%3D%200%20%5C%5C%20%20%5Ctherefore%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20-%2025%20%5C%5C%20%5Ctherefore%20%7Bx%7D%20%20%3D%20%20%5Csqrt%7B%20-%2025%7D%20%20%5C%5C%20%20%5Ctherefore%20%7Bx%7D%20%20%3D%20%20%20%5Cpm%5Csqrt%7B%20-%201%20%5Ctimes%2025%7D%20%20%5C%5C%20%5Ctherefore%20%7Bx%7D%20%20%3D%20%5Cpm%20%20%5Csqrt%7B%20%2025%7D%20%20%5Ctimes%20%20%5Csqrt%7B%20-%201%7D%20%20%5C%5C%20%5Ctherefore%20%7Bx%7D%20%20%3D%20%20%5Cpm5%20%5C%3A%20i%20%20%5C%5C%20%5Ctherefore%20%7Bx%7D%20%20%3D%20%5C%7B%20-%205i%2C%20%5C%3A%20%20%5C%3A%205i%20%5C%7D%20%5C%3A%20%5C%5C%20%20is%20%5C%3A%20the%20%5C%3A%20solution%20%5C%3A%20set.)