Answers
Step-by-step explanation:
i) answer =1
ii) 2 -3m + 6n -2 x 3 3-m
Answer:
( i ) [tex]\boxed{1}[/tex]
( ii ) [tex]\boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]
.
Step-by-step explanation:
( Part i )
[tex]\left(\frac{1}{x^{a - b}} \right)^{a + b}\left(\frac{1}{x^{b + a}} \right)^{b - a}[/tex]
[tex]= \left(\frac{1}{x^{(a - b)(a + b)}} \right)\left(\frac{1}{x^{(b + a)(b - a)}} \right)[/tex]
[tex]= \left(\frac{1}{x^{a^2 - b^2}} \right)\left(\frac{1}{x^{b^2-a^2}} \right)[/tex]
[tex]= \frac{1}{x^{a^2 - b^2 + (b^2 - a^2)}}[/tex]
[tex]= \frac{1}{x^0}[/tex]
[tex]= \frac{1}{1}[/tex]
[tex]= \boxed{1}[/tex]
.
( Part ii )
[tex]\frac{2^{m + n}\times 3^{2m + 3} \times 4^{2n -1}}{6^{2m + n}\times 12^{m - n}}[/tex]
[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{2(2n -1)}}{(2\times3)^{2m + n}\times (3\times 2^2)^{m - n}}[/tex]
[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{4n -2}}{2^{2m + n}\times3^{2m + n}\times 3^{m - n}\times 2^{2(m - n)}}[/tex]
[tex]=\frac{2^{m + n + 4n - 2}\times 3^{2m + 3}}{2^{2m + n + 2m - 2n}\times3^{2m + n + m - n}}[/tex]
[tex]=\frac{2^{m + 5n - 2}\times 3^{2m + 3}}{2^{4m - n}\times3^{3m}}[/tex]
[tex]= 2^{m + 5n - 2 - (4m - n)}\times3^{2m + 3 - 3m}[/tex]
[tex]= \boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]
.
Happy to help :)
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Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically given that z1 = 8 – I and z2 = -9 + 2i. Then, give the sum 21 + Z2 in rectangular form.
Answers
Answer:
Given are two complex numbers as
When we add algebraically, we add the real parts and then add the imaginary parts separately
Hence
Geometrically we draw position vector of both the points. The sum would be resultant of these two vectors.
Step-by-step explanation:
The sum of the complex number in rectangular form is -1 +i
Sum of complex numberComplex numbers are written in the form x + iy
Given the complex numbers expressed as:
z1 = 8 - i
z2 = -9 + 2i
Take the sum
z1 + z2 = (8 - 9) + (-i+2i)
z1 +z2 = -1 + i
Hence the sum of the complex number in rectangular form is -1 +i
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Answers
It wouldn’t be a decimal because 0.24 x 100 = 24
It wouldn’t be a fraction because it would be a whole number
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Step-by-step explanation:
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Maggie and three friends are going to the movies. It cost them ten dollars for their tickets and
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Answers
Answer:
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Answers
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Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
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Step-by-step explanation:
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Here is the solution:
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Step-by-step explanation:
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Answers
Answer:
It will take them 4.44 days to decorate 2 homes.
Step-by-step explanation:
Given that:
Camilla can decorate a home in 5 days
Anne can complete a home in 4 days
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Answers
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Step-by-step explanation:
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108.9
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Answer:
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Answer:
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Step-by-step explanation:
60% of $60 is the question
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Cube 2: side length = 2 feet
The surface area of a cube is 6s², where s is the length of one side.
Find the total surface area that Abby will paint.
1. Find the surface area of cube 1. Show your work, and include units with your answer.
2. Find the surface area of cube 2. Show your work, and include units with your answer.
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Answers
Answer:1: 56. 3 squared is 9, times 6 is 56.2: 24. 2 squared is 4, times 6 is 24.3: 80. 56+24=80
Step-by-step explanation:
1. The surface area of cube 1 is 54 sq ft, the surface area of cube 2 is 24 sq ft, the total area Abby will paint is 78 sq ft
What is a cube?A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.
We are given that Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube = 6s², where s is the length of one side.
1. Each side of cube 1 is
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so, each side has an area of 9 square feet.
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brainly.com/question/15420947
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Answers
Answer:
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Answer:
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Step-by-step explanation:
Given
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Also can I please have Brainliest?
Only if I'm correct of course.
Your welcome, Loves!
16(x+3)=4(x+9)
solve for x
Answers
⭐ Respuesta :
Ecuación : 16 (x + 3) = 4 (x + 9)⭐ Resolvemos :
[tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]
⭐ Explicación paso a paso :
16 (x + 3) = 4 (x + 9)
Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"16x + 48 = 4x + 36
Términos semejantes ...16x - 4x = 36 - 48
Restamos respectivamente ...12x = -12
El número 12 multiplicando a "x" pasa a dividir...x = -12 ÷ 12
Dividimos y ya tenemos el resultado!! ^-^ x = -1❤ Ver mas ejemplos : brainly.lat/tarea/29507142 ❤
Tell whether the following equation represents or not represents a linear function. 20x + 4y = 8 The equation represents a linear function.
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Answer:
— 20x + 4y = 8 The equation represents a linear function.. Add answer+5 pts.
Step-by-step explanation:
How do I do this?
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Answer:
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Step-by-step explanation: