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4 years ago

How do I know if a positive integer is even based on its prime factorization?

1 answer:

5 0

To know if it's even based on it's prime factorization, check to see if it is a multiple of 2. If it is, it is an even number. If it is not, it is an odd number.

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Complete the following: (2x +3y)^2 = (2x)^2+2(2x)(3y) +(____)^2

FrozenT [24]

Answer:

Complete function will be $(2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)$

Step-by-step explanation:

We have given equation $(2x+3y)^2=(2x)^2+2\times (2x)\times (3y)+..........^2$

We have to find the function in place of blank space and complete the function

We know the algebraic equation $(a+b)^2=a^2+b^2+2ab$

So $(2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)$

So in place of blank pace there will be $(3y)^2$

And complete function will be $(2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)$

3 0

3 years ago

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms o

schepotkina [342]

C) six times log base two of x times seven times log base two of y minus log base two of eight.

5 0

4 years ago

Which number is equivalent to 0.3

Strike441 [17]

3/10 that's equivalent

8 0

3 years ago

Read 2 more answers

Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =

aniked [119]

Answer:

The equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

y-intercept b = -12

slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

8 0

3 years ago

9. Which of the following do you need to know to determine the surface area and volume of a sphere?

Alexxx [7]

Answer:

A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

6 0

3 years ago