Answer: k=21
Step-by-step explanation:
1. Distribute the 9 to the k and the -4 in the parentheses.
9 · k = 9k and 9 · -4 = -36
You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.
2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.
-2 · k = -2k and -2 · -8 = 16
You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.
3. Now you should have the equation 2k - 36 = 48 - 2k.
You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.
Ex: 2k - 36 = 48 - 2k
+2k +2k
4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.
You should now have 4k = 84 (48 + 36 = 84).
Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.
Do recall that squaring and the *radical sign* cancel each other out... like so:(

)

= a
When you put it that way, it isn't enough :P
(

)

= a
(

)

=?
so you start with
(

)

=

8x+1=25 <-- subtract 1 to both sides
8x=24 <- divide 8 to both sides
x= 3
To find out if it's an extraneous solution ask yourself: It mustn't result in a radical that I like to call... 'illegal'. Plug it into the radicand 8x+1 and make sure you get something that is not a negative number.... so, DO you get a negative number when you plug in x = 3 into the radicand?
(extraneous solution is a invalid solution)
x=3 not extraneous
<span>Jocelyn
bought 2 sweaters for the same price.
She paid $23.56, including sales tax of $1.36 and a $5.00 discount coupon.
Problem: Find the price of 1 sweater before the tax and coupon
=> 2 sweaters = 23.56 dollars included tax and discount
=> remove the tax and discount first
=> 23.56 + 5.00 = 28.56 dollars since this is a discount, we need to add
this to the amount
=> 28.56 – 1.36 = 27.2 dollars is the
price of 2 sweaters
=> 1 sweater costs 13.6 dollars </span>
Answer:
19 degrees
Step-by-step explanation:
You know the sum of the interior angles of a triangle is 180 degrees.
So then you can make the equation 82 + 41 + 3x = 180
By solving for x, you get the answer:
123 + 3x = 180
3x = 57
x = 19 degrees
Hope dis helps ya