To solve for x means to put x on one side, and everything else on the other side.
Let's do that:


And now we have to divide with -a.
Be careful: When dividing with anything that's negative, you have to reverse the inequality.
Final solution:
Hi okay i’m gonna write the explanation i hope you give me a brilliant if you think I’m deserving it thank you
(x-5)2=16
The first step you can take to solve this quadratic is to take the square root of both sides of the equation.
√[(x-5)2]=√(16)
When you take the square root of a term that is square it equals what is inside the parentheses.
So on the left side, you have x-5
On the right side, you are what we call "forcing" the square root. When this happens, you need to put ±. Why? Good question. When you square a negative number it positive; when you square a positive number it is also positive.
The √16 = ±4
So now we have;
x-5=±4
What do you do with that?
You make two separate equations.
x-5=4 and x-5=-4
x=9 x=1
Let's check our answers
x=9
(x-5)2=16
(9-5)2=16
42=16
16=16 it checks
x=1
(x-5)2=16
(1-5)2=16
(-4)2=16
16=16 it also checks
ANSWER: x=9 and x=1
The answer is p v q and some other one, I haven't done logic in 2 years already, so I don't know the other one. BUT, if p is true, then p v q HAS to be true because if one of the statements, p or q, is true, then p v q is true. For or statements to be true, at least one of the statements included has to be true.
Answer: VI)

VII)

Step-by-step explanation:
VI)



VII)



Can't type fast enough, LaTex is hard :(
Answer:
The distance between Harry’s home and his office? is 15 miles.
Step-by-step explanation:
The speed, distance time formula is:

Given:
Speed (<em>s</em>) = 30 miles/hour
Then the relation between distance and time is:

If Speed was 60 miles/hour the time taken is
hours.
Then the relation between distance and time is:

Use the value of <em>d</em> = 30t in (ii)
<em />
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Determine the distance as follows:

Thus, the distance between Harry’s home and his office? is 15 miles.