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3 years ago

The symmetry of a hyperbola with a center at (h, k) only occurs at y = k. True or False

1 answer:

6 0

A hyperbola with a center at (0, 0) can be defined as x²/a² − y²/b² = ±1.
The statement "The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.

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Correct answer gets brainiest.

eimsori [14]

Answer:

the answer is D

Step-by-step explanation:

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3 years ago

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Can you solve this I am confused

mr Goodwill [35]

The answer is B and C. Hope this helps!

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3 years ago

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Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!

Nadya [2.5K]

QUESTION 1

If a function is continuous at $x=a$ , then $\lim_{x \to a}f(x)=f(a)$

Let us find the limit first,

$\lim_{x \to 4} \frac{x-4}{x+5}$

As $x \rightarrow 4$ , $x-4 \rightarrow 0$ , $x+5 \rightarrow 9$ and $f(x) \rightarrow \frac{0}{9}=0$

$\therefore \lim_{x \to 4} \frac{x-4}{x+5}=0$

Let us now find the functional value at $x=4$

$f(4)=\frac{4-4}{4+5} =\frac{0}{9}=0$

Since

$\lim_{x \to 4} f(x)=\frac{x-4}{x+5}=f(4)$ , the function is continuous at $a=4$ .

QUESTION 2

The correct answer is table 2. See attachment.

In this table the values of x approaches zero from both sides.

This can help us determine if the one sided limits are approaching the same value.

As we are getting closer and closer to zero from both sides, the function is approaching 2.

The values are also very close to zero unlike those in table 4.

The correct answer is B

QUESTION 3

We want to evaluate;

$\lim_{x \to 1} \frac{x^3+5x^2+3x-9}{x-1}$

using the properties of limits.

A direct evaluation gives $\frac{1^3+5(1)^2+3(1)-9}{1-1}=\frac{0}{0}$ .

This indeterminate form suggests that, we simplify the function first.

We factor to obtain,

$\lim_{x \to 1} \frac{(x-1)(x+3)^2}{x-1}$

We cancel common factors to get,

$\lim_{x \to 1} (x+3)^2$

$=(1+3)^2=16$

The correct answer is D

QUESTION 4

We can see from the table that as x approaches $-2$ from both sides, the function approaches $-4$

Hence the limit is $-4$ .

See attachment

The correct answer is option A

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3 years ago

Rule y = x - 3 plz help me :(

Andru [333]

<h3>The answer!</h3>

<h3>Lets do the Solve the equetion first!</h3>

<h3>Solution:</h3><h3> $y = x - 3 \\ = y - x = - 3 \\ = - x = - 3 - y \\ = - x = - y - 3 \\ = x = y + 3$ </h3><h3>The answer is </h3><h3> $x = y + 3$ </h3><h3>꧁✰_______❀Edilyn❀_______✰꧂</h3><h3 />

#CarryOnLearning

#NoToCopyPaste

<h3>Correct me if im wrong</h3>

Its base on my understanding

<h3>For brainly user:</h3>

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Please dont delete this:((

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2 years ago

Bottom left Angle: Top Angle: Bottom right Angle:

Arturiano [62]

Angles in a triangle always add up to 180 degrees

Here, we add up all the angles given to equal it to 180 degrees:

X + X + 10 + X + 5 = 180

Collect like terms -> 3X + 10 + 5 = 180

Add the whole numbers -> 3X + 15 = 180

Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15

The subtract -> 3X = 165

Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3

Finally, X = 55

Now wherever you see X in the triangle, replace it with 55.

With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 degrees

8 0

2 years ago