Answer:
Since it is a simultaneous equation,
Using elimination method, Multiply equation 1 by the co efficient of x in equation 2 and multiply equation 2 by the co efficient of x in equation 1.
Step-by-step explanation:
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Answer:
Exponent laws:
1. Product law
In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.
x=base, a,b,c=exponent
If x=2 and a=3, b=5 , and c=10, then
2.Product raised to a power
1. ![[x^{a}]^{c}=x^{ac}](https://tex.z-dn.net/?f=%5Bx%5E%7Ba%7D%5D%5E%7Bc%7D%3Dx%5E%7Bac%7D)
2. ![[x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}](https://tex.z-dn.net/?f=%5Bx%5E%7Ba%7D%5Ctimes%20x%5E%7Bb%7D%5D%5E%7Bc%7D%3D%5Bx%5E%7Ba%2Bb%7D%5D%5E%7Bc%7D%3Dx%5E%7Bac%2Bbc%7D)
If product is raised to a certain power , keeping the base same , we just multiply the powers.for example
![[2^{3}]^{4}=2^{3\times4}=2^{12}](https://tex.z-dn.net/?f=%5B2%5E%7B3%7D%5D%5E%7B4%7D%3D2%5E%7B3%5Ctimes4%7D%3D2%5E%7B12%7D)
and
![[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}](https://tex.z-dn.net/?f=%5B2%5E%7B3%7D%5Ctimes3%5E%7B2%7D%5D%5E%7B2%7D%3D%5B2%5E%7B3%7D%5D%5E2%20%5Ctimes%5B3%5E%7B2%7D%5D%5E%7B2%7D%3D2%5E%7B6%7D%5Ctimes3%5E%7B4%7D)
![[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}](https://tex.z-dn.net/?f=%5B2%5E%7B3%7D%5Ctimes2%5E%7B2%7D%5D%5E%7B2%7D%3D%5B2%5E%7B3%2B2%7D%5D%5E%7B2%7D%3D%5B2%5E%7B5%7D%5D%5E%7B2%7D%3D2%5E%7B10%7D)
Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 10 cm
h = 2*d
Formula
- The top of the cylinder is a solid circle. So the area of the circle is pi r^2
- There is both a top and bottom to the circle so the fomula is 2*pi*r^2
- The surrounding area of the cylinder is the circumference of the circle times the height. The circumference of the circle is 2*pi*r.
- Then you just multiply by the height.
- formula = 2*pi * r * h
The combined formula is given below.
SA = 2*pi*r^2 + 2*pi*r * h
Conversions
d = 10 cm
h = 2*10
h = 20 cm
r = d/2
r = 10 / 2
r = 5cm
Solution
SA = 2*pi*r^2 + 2*pi*r * h
SA = 2*3.14*5^2 + 2*3.14*5*20
SA = 157 + 628
SA = 785 cm^2
Answer: The surface area is 785 cm^2
Answer:
207 miles
Step-by-step explanation:
92/4
9•23
36/11
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