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aleksklad [387]
3 years ago
14

Line segment MN is graphed in the first and second quadrants of a coordinate plane. The segment is translated 2 units up, then r

eflected across the y -axis. Which characteristic of the image is always the same as the original line segment?
Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

Step-by-step explanation:

Since the line segment is only being translated and reflected it would still maintain its length. This is pretty much the only characteristic that would remain the same as te original line segment. It would not maintain the same x-axis positions for both endpoints of the line segment. This is because when it is translated 2 units up it is only moving on the y-axis and not the x-axis. But when it is reflected over the y-axis the endpoints flip and become the opposite values.

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(f/g)(x)and (f/g)(7)
Phoenix [80]

Answer:

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}

Step-by-step explanation:

Division operation of function:If\ f(x)\ and\ g(x)\ are\ two\ functions\ then\ (\frac{f}{g})(x)=\frac{f(x)}{g(x)}

Here\ we\ have\ to\ find\ (\frac{f}{g})(7)\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}

Example:

Take\ f(x)=3x^2+1,\ g(x)=x+1\\\\(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{3x^2+1}{x+1}\\\\f(7)=3\times 7^2+1\\\\f(7)=3\times 49+1\\\\f(7)=148\\\\g(7)=7+1\\\\g(7)=8\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}\\\\(\frac{f}{g})(x)=\frac{148}{8}

7 0
3 years ago
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
svet-max [94.6K]

Answer:

100.3 units²

Step-by-step explanation:

✅Find the area of the parallelogram:

Area of Parallelogram is given as base × height

base = 10

height = 5

Area of Parallelogram = 10*5 = 50

✅Next, find the area of the two semicircles:

The two semicircles = 1 circle

Area of circle = πr²

r = 8/2 = 4

Area = π*4² = 16π = 50.3 (nearest tenth)

✅Area of figure = 50 + 50.3 = 100.3 units²

3 0
3 years ago
2x+3=9 what is the answer
xxMikexx [17]

Answer : x=3

Step-by-step explanation:

Explanation:

2x+3=9

We want to find the variable x, so we have to make it alone. To do so, first subtract 3 from both sides of the equation:

2x+3  −  3=9  −  3

2x=6

Now divide both sides by 2:

2x2=62

So the final answer is:

x=3

6 0
3 years ago
How do i put this in least to greathest 0.5 -1 ,2/3, 1.1
victus00 [196]
-1, 0.5, 2/3, 1.1 is the order of the numbers from least to greatest
6 0
3 years ago
Use complete sentences to describe why it is valid to say that both a function and its inverse describe the same relationship.
Serhud [2]

Answer:

Step-by-step explanation:

A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse. 

Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse. 

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x. 

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

I hope this helped you because i barley understood this myself.

Read more on Brainly.com - brainly.com/question/2834818#readmore

3 0
3 years ago
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