Answer:


Step-by-step explanation:
Given




See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:

Open bracket

Equate to 0

Expand

Factorize

Factor out x + 2

Solve for x
or 
or 
The value of x cannot be negative
So:

Recall that:


So:

---- i.e. 5 - 3
You should know that cos2x =1-2sin^2x, so you substitute and take everything to one side. After that I took out a common factor of sinx which simplified my equation and gave me my first solution x=0. I go and find the relative acute angle in my second solution 2sinx+1=0, and as the value of raw is negative you have to obtain two solutions from where sin is negative. And you are given all you solutions. Hopefully this helps, if you don’t understand what I am saying just ask me anything. :)
Answer:
4
Step-by-step explanation:
ok
Step-by-step explanation:
You have to substitute... 0, 5, & 10, & 3
y = 2x + 3
y = 2(0) + 3
y = 0 + 3
y = 3
(0,3)
y = 2x + 3
y = 2(5) + 3
y = 10 + 3
y = 13
(5,13)
y = 2x + 3
y = 2(10) + 3
y = 20 + 3
y = 23
(10,23)
y = 2x + 3
y = 2(3) + 3
y = 6 + 3
y = 9
(3,9)
okay well usually what I would tell you would be to use the ABC method. you would multiply A (2) by C (6) to get twelve. so you need two numbers that multiply to twelve and add to -4 (the B value). but there are no numbers that fit this description so you have to use the GCF method instead
for this method you must find the GCF for all three numbers which in this case is 2. 2(x^2-2x+3) all these numbers are now prime so this is the factored form