Well, your question is basically;
x²+6x+5
Well first you have to find two numbers that when added will give you +6 and when multiplied will give you 5. Well, in this case, the numbers are; (+1 and +5). So you add them to the equation. So;
x²+1x+5x+5
Hope you noticed that 6x was removed. Anyway;
You have to put the equation in two brackets with two terms in each
(x²+1x)+(5x+5)
Next, you bring out what is commom in each bracket and use it to divide what is in the bracket
x(x+1)+5(x+1)
Now you notice that the two things in the bracket are the same. They have to be.
Next, you put the terms outside the bracket together and choose one of the terms in a bracket. So;
(x+5) (x+1)
So the equation factorised is (x+5) (x+1). But if you want to go ahead to find x, then you can say;
(x+5) (x+1)
x+5=0 x+1=0
Take the +5 over Take the +1 over the equal to, where it becomes -1. So;
the equal sign where x=-1
it becomes -5. So;
x=-5 OR x=-1
By the way, here's a little secret, the answers are always the opposite of the two numbers chosen at the beginning(+1 and +5). Hope i helped. If you have any more problems, let me know.
Answer:
<u>S': (2, 1)</u>
<u>T': (5, 3)</u>
<u>U': (1, -4)</u>
<u>S'': (1, 3)</u>
<u>T'': (4, 5)</u>
<u>U'': (0, -2)</u>
Step-by-step explanation:
Hi!
For Reflection Across the X-Axis use this :
(x, y) -> (x, - y)
So :
S': (2, 1)
T': (5, 3)
U': (1, -4)
and then the question also asks for a translation so we follow what it gave us:
S'': (1, 3)
T'': (4, 5)
U'': (0, -2)
Please ask me any questions that you still may have!
and Have a great day! :)
Answer:
1
Step-by-step explanation:
Absolute value means take what is inside and make it positive
|5| - |-4|
5 - 4
1
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
