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 should be 7(x+8)
Answer:
Yes
Step-by-step explanation:
<h3>Hank</h3>
Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.
<u>
This relation is: </u>
This is proportional but not directly proportional.
<h3>Lynn</h3>
Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.
<u> This relation is: </u>
This is directly proportional.
<u>So the answer is:</u>
Yes, the relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.
Answer:
42
Step-by-step explanation:
to find the perimiter youre gonna want to add up all the sides you already have,
so we have 4, 4, 11, and 6.
the reason we dont count the other 4 inside of the figure is because that is inside of it, so we would consider that perimiter
as we see there are other sides not labeled. we have to use that area four to help us.
for the top left side, we do 6 - 4 = 2
for the bottom right side, we do 11 - 4 = 7
then, as we see at the top right we have a four labeled, these look the same width so add a four.
and at the top left, we see another four so add that.
then, add up everything giving you 42.
i hope this helped! <3
Answer:x=4
Step-by-step explanation:
To solve
10(x+1)=56-2(x-1)
Open the brackets
10x+10=56-2x+2
Collect like terms
10x+2x=56-10+2
12x=48
Divide through by 12
x=4
