First of all, you should know/notice that
![125=5^3](https://tex.z-dn.net/?f=125%3D5%5E3)
You should also know how negative exponents work:
![a^{-m}=\dfrac{1}{a^m}](https://tex.z-dn.net/?f=a%5E%7B-m%7D%3D%5Cdfrac%7B1%7D%7Ba%5Em%7D)
So, if you wanted
![5^x=125](https://tex.z-dn.net/?f=5%5Ex%3D125)
the answer would be x=3, but since you want 125 to be at the denominator, the answer is x=-3:
![5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}](https://tex.z-dn.net/?f=5%5E%7B-3%7D%3D%5Cdfrac%7B1%7D%7B5%5E3%7D%3D%5Cdfrac%7B1%7D%7B125%7D)
Answer:
2(5x + 2)
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.
Step 1: x2 +4x= 6
Step 2: x2 +4x+4=6+4
Step 3: (x +2)^2=10
What are the next 3 steps?
we have
step 4
Take square root both sides
![\sqrt{(x+2)^2} =\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B2%29%5E2%7D%20%3D%5Csqrt%7B10%7D)
step 5
Simplify
![x+2=\pm\sqrt{10}](https://tex.z-dn.net/?f=x%2B2%3D%5Cpm%5Csqrt%7B10%7D)
step 6
Solve for x
subtract 2 both sides
![x=-2\pm\sqrt{10}](https://tex.z-dn.net/?f=x%3D-2%5Cpm%5Csqrt%7B10%7D)
![x_1=-2+\sqrt{10}](https://tex.z-dn.net/?f=x_1%3D-2%2B%5Csqrt%7B10%7D)
![x_2=-2-\sqrt{10}](https://tex.z-dn.net/?f=x_2%3D-2-%5Csqrt%7B10%7D)
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
Answer: 40%
Step-by-step explanation:
Total: 760.
304 of 760 as a percentage = 40%.
760 - 304 = 456.
456 of 760 as a percentage = 60%.