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3 years ago

Is the following relation a function?

Mathematics

1 answer:

evablogger [386]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

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MAX POINTS

mrs_skeptik [129]

Let's do

$\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k$

Release k for some while

we take h=0

y=3/x

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

put -5 in place of h

$\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}$

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}$

Vertical asymptote at x=-5

Now

for k=0 horizontal asymptote at origin

But it's given

y is at 12

Same put y=12 in place of k

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12$

h=-5
k=12

Graph attached for verification

3 0

3 years ago

Please help me with this

juin [17]

Answer:

The radius of the cylinder is $r=6$ meters.

Step-by-step explanation:

To determine:

What is radius?

Information Fetching and Solution Steps:

The volume of the cylinder = 1,921.68 cubic meters

$\pi \approx 3.14$

The height = 17 m

As the formula of the volume of the cylinder

$V=\:\pi \:r^{2} \:h$

The radius can be determine as

$r^{2} \:=\:\frac{V}{\pi \:h}$

$r=\sqrt{\frac{V}{\pi \:\:h}}$

$\:r=\sqrt{\frac{1921.68}{\left(3.14\right)\:\left(17\right)}}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$r=\sqrt{\frac{1921.68}{3.14\cdot \:17}}$

$\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:17=53.38$

$r=6$ meters

Therefore, the radius of the cylinder is $r=6$ meters.

Keywords: radius of the cylinder, volume of cylinder

Learn more about volume of cylinder from brainly.com/question/1027712

#learnwithBrainly

7 0

4 years ago

Solve<br> ¾.(z to the 3rd power . 4)=

netineya [11]

Answer:

In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.

3 0

3 years ago

Traingle BUG has measurements as shown below.

Harrizon [31]

Answer:

48*52=2496/2=1248

Step-by-step explanation:

Triangle syprine=b*h/2

16*14=224/2=112

answer b is the most similar:48*52=2496/2=1248

48 is 3x>16

4 0

3 years ago

Which statements are correct regarding the properties of trapezoids? Check all that apply.

exis [7]

Answer:

Properties of trapeziods:

Step-by-step explanation:

Convex polygon/Cyclic

-The bases of an iscoceles trapeziod are parallel

-Opposite sides of an iscoceles trapeziod are congruent

-The diagonals are congruent

5 0

3 years ago