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LenaWriter [7]
3 years ago
10

Choose the equation of the graph shown below:

Mathematics
2 answers:
Verdich [7]3 years ago
8 0

Answer:

B. y=|x+1|-3.

Step-by-step explanation:

We have been image of an absolute value function on coordinate plane. We are asked to find the equation of our given function.

We know that standard form of an absolute value function is in format y=a|x-h|+k with vertex at (h,k).

Upon looking at our given graph, we can see that vertex of the given function is at point (-1,-3).

Upon substituting coordinates of the vertex in standard form of absolute value function, we will get:

y=1|x--1|+-3

y=|x+1|-3

Therefore, our required equation would be y=|x+1|-3 and option B is the correct choice.

STatiana [176]3 years ago
4 0
The correct answer is y= |x + 1| - 3
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kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
2 years ago
How many times greater is the value of the digit 8 in 82.77 than the value of the digit 8 in 20.18
Kitty [74]

Answer:

Option 3. 1,000 times

Step-by-step explanation:

we know that

The value of digit 8 in 82.77 is equal to 80

The value of digit 8 in 20.18 is 0.08

so

Divide 80 by 0.08

80/0.08=1,000 times

3 0
3 years ago
What are the angles sizes
Rus_ich [418]
Answers:
(x+2) = 55 degrees

x = 53 degrees

the given is 72 degrees


Explanation:
A triangle always equals 180 degrees. It was given that one of the angle measures is 72 degrees. 180-72=108. Now I need to find the value of x. (x+2)+x=108. Solving this equation I get x=53. Substitute this back into the angle measures and u get the answers as stated above.
5 0
3 years ago
Complete the statement below to explain how this model shows that 1/3÷1/5=5/3
Galina-37 [17]
To divide by a fraction, multiply by the reciprocal of that fraction.

1/3 • 5/1 or 1/3 • 5


Calculate the product straight across.

1/3 • 5/1 = 5/3



3 0
3 years ago
Each row in the table shows how a picture was enlarged or reduced
Fed [463]

Answer:

1. Tall Dog

2. Small Dog

3. Regular Dog

4. Fat Dog

Step-by-step explanation:

It's simple. Look at the problem ;)

8 0
3 years ago
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