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2 years ago

What property is m+7=7+m

Mathematics

1 answer:

Dmitry [639]2 years ago

4 0

Answer:

<h3> Commutative property</h3>

Step-by-step explanation:

The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.

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Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from

ikadub [295]

Now despite what you may think, 1:3 is not 1/3 in this situation, but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. In short, they want the point that is at the 1/4 mark from A to B.

Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:

$\frac{1}{4}\times \frac{4}{1}=\frac{4}{4}=1$

Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:

$\frac{1}{4}\times \frac{1}{1}=\frac{1}{4}$

Next, since from 1 to 5 you are increasing, add 1 to 1.

$1+1=2$

2 is the x-coordinate of the new point.

Next, since from 2 to 3 you are increasing, add 1/4 to 2.

$2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4}$

9/4 is the y-coordinate of the new point.

Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.

4 0

3 years ago

For the real-valued functions f(x)=2x+1 and g(x)=sqrt(x-1), find the composition f o g and specify its domain using interval not

Anettt [7]

Answer:

fog = 2√(x-1) + 1

Domain = [1, $\infty$ )

Step-by-step explanation:

Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog

fog = f(g(x))

f(g(x)) = f(√(x-1))

f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)

f(√(x-1)) = 2(√(x-1))+1

f(√(x+1)) = 2√(x-1) + 1

fog = 2√(x-1) + 1

For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)

If x-1≥0

x≥0+1

x≥1

This means the range of variable x must be values of x greater than or equal to 1.

Domain = [1, $\infty$ )

8 0

3 years ago

Help I need to pass test

rewona [7]

Answer: I know that the answer is 47.

Step-by-step explanation: add up all the angles to get 180 degrees.

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3 years ago

Read 2 more answers

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Strike441 [17]

24 sponge fingers and 420 jelly

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3 years ago

How Can you represent writing a check for $10 as an integer? A b c or d

Lynna [10]

The answer to represent a check for 10$ is A. -10

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3 years ago