Answer:
x=7
Step-by-step explanation:
Step 1- simplify both sides of the equation
step 2- add 9 to both sides
step 3- divide both sides by 27
final answer will get you x=7
have good day ((:
Answer:
(3 (pm) sqrt(7))/2
Step-by-step explanation:
First step: Identify a,b, and c
a=2
b=-6
c=1
Second step: Find b^2-4ac (this is called the discriminant-I will call this D)
(-6)^2-4(2)(1)=36-8=28
Third step: Find the square root of the discriminant aka sqrt(D)
sqrt(28)
Let's see if we can simplify sqrt(28)
Here is there a factor of 28 that is a perfect square? How about 4? Yep!
sqrt(28)=sqrt(4)sqrt(7)=2sqrt(7).
Fourth Step: What is -b? If b=-6 then -b=6.
Fifth step: What is 2a? 2(2)=4
So the formula is
x=(-b (pm) sqrt(D))/(2a)
or
x=(step4 (pm) step 3)/(step 5)
x=(6 (pm) 2sqrt(7))/4
Simplify
x=(3 (pm) sqrt(7))/2
*pm means plus or minus
*sqrt( ) means square root of the number that follows in the ( )
Step 1) ![\frac{56}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B56%7D%7B1%7D%20)
/
![\frac{7}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B8%7D%20)
=
![\frac{56}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B56%7D%7B1%7D%20)
x
![\frac{8}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B7%7D%20)
=
![\frac{448}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B448%7D%7B7%7D%20)
= 64
Step 2) 64 x 0.03 = $1.92
Instructions step-by-step: 1) First take the total inches and divide it by the length of each paper clip to figure out how many paper clips there are. When fractions divide they do copy, dot, flip-flop (how I learned it) it basically means to keep the dividend (the number you are dividing) and multiply it with the reciprocal of the number that will be dividing by is called the divisor. It becomes
![\frac{56}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B56%7D%7B1%7D%20)
x
![\frac{8}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B7%7D%20)
which equals
![\frac{448}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B448%7D%7B7%7D%20)
and when simplified it equals 64.
2) Next, multiply the amount of paperclips to the cost. So as shown above: 64 x 0.03 = $1.92
The cost is $1.92.I hope this was understandable. :)
Answer: ![\Large\boxed{C.~21}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7BC.~21%7D)
Step-by-step explanation:
<u>The goal of the question</u>
Find the value of 2abcosC
<u>Given information</u>
a = 4
b = 3
c = 2
<u>Given formula (Law of Cosine)</u>
![c^2=a^2+b^2-2abcosC](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2abcosC)
<u>Substitute values into the formula (Leave 2abcosC as it is)</u>
![(2)^2=(4)^2+(3)^2-2abcosC](https://tex.z-dn.net/?f=%282%29%5E2%3D%284%29%5E2%2B%283%29%5E2-2abcosC)
<u>Simplify the exponents</u>
![4=16+9-2abcosC](https://tex.z-dn.net/?f=4%3D16%2B9-2abcosC)
<u>Simplify by addition</u>
![4=25-2abcosC](https://tex.z-dn.net/?f=4%3D25-2abcosC)
<u>Add 2abcosC on both sides</u>
![4+2abcosC=25-2abcosC+2abcosC](https://tex.z-dn.net/?f=4%2B2abcosC%3D25-2abcosC%2B2abcosC)
![4+2abcosC=25](https://tex.z-dn.net/?f=4%2B2abcosC%3D25)
<u>Subtract 4 on both sides</u>
![4 + 2abcosC-4=25-4](https://tex.z-dn.net/?f=4%20%2B%202abcosC-4%3D25-4)
![\Large\boxed{2abcosC=21}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B2abcosC%3D21%7D)
Hope this helps!! :)
Please let me know if you have any questions