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Yanka [14]
3 years ago
11

How do the graphs of y = 1/x and y=5/x+6 compare?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

Answer:

y=\frac{5}{x+6} stretches out the graph by 5 times and makes the graph 6 units higher as compare with y=\frac{1}{x}

Step-by-step explanation:

Given two functions y=\frac{1}{x} and y=\frac{5}{x+6}

We have to compare the two graphs.  

Here, the graph of y=\frac{1}{(x+6)} is obtained by  a translation shift to left by 6 from the graph of y=\frac{1}{x}.

and also the graph of y=\frac{5}{x+6} is  obtained by a stretching 5 upwards from the graph y=\frac{1}{x+6}

Hence,  y=\frac{5}{x} stretches out the graph by 5 times. It increases and decreases 5 times more.  

y=\frac{5}{x+6} stretches out the graph by 5 times and makes the graph 6 units higher as compare with y=\frac{1}{x}

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podryga [215]

\huge{\underline{\boxed{\tt{Answer:}}}}

Let AB be a chord of the given circle with centre and radius 13 cm.

Then, OA = 13 cm and ab = 10 cm

From O, draw OL⊥ AB

We know that the perpendicular from the centre of a circle to a chord bisects the chord.

∴ AL = ½AB = (½ × 10)cm = 5 cm

From the right △OLA, we have

OA² = OL² + AL²

==> OL² = OA² – AL²

==> [(13)² – (5)²] cm² = 144cm²

==> OL = √144cm = 12 cm

Hence, the distance of the chord from the centre is 12 cm.

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3 years ago
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dedylja [7]

Answer: 40 unit²

Step-by-step explanation:

A square pyramid is composed of 1 square and 4 congruent triangles

STEP ONE. Find the area of the square.

A=b²

b=base

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STEP TWO. Find the area of the triangle

A=(1/2)bh

b=base

h=height

A=(1/2)bh

A=(1/2)(4)(3)

A=(1/2)(12)

A=6

There are 4 congruent triangles, so 6×4=24

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SashulF [63]

Answer:

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Country-6

Hip Hop-5

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hope this helps

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Step-by-step explanation:

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RUDIKE [14]

If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

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