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4 years ago

11

The coordinates of the vertices of / are G(–2, 3), H(–1, 2), and I(–3, 1). If / is reflected across the x-axis to create /, find

the coordinates of the vertex located at point W.

1 answer:

valkas [14]4 years ago

3 0

Answer:

A. (–2, –3)

that is the answer

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3 years ago

There are 6 circles arid 9 squares. What is the simplest ratio of circles to squares?<br> PLS HELP

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3 years ago

Your company is introducing a fruit drink packaged in an aluminum box with a square

solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

$S=x^2\Rightarrow x=\sqrt{S}$

The volume of the box is

$V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}$

The surface area of the box is

$SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}$

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

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Equate this derivative to 0:

$2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}$

So, the dimensions that produce a minimum surface area for this aluminum box are:

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4 0

3 years ago

The Ride for Health Bicycle Club has chosen a 60-mile course for this Saturday's ride. If the riders plan on averaging 15 mph wh

Alex Ar [27]

Answer:

6 hours

Step-by-step explanation:

Total time it will take to complete the trip = Total time spent on riding + Time taken for lunch break.

Distance to be covered = 60 miles.

D = 60

Speed of riding = 15 miles per hour

S = 15

Thus time taken to cover a distance 60 miles by riding at a speed of 15 mph:

T=D/S=60/15

T= 4hours

They will spend 4 hours on riding and 2 hour of lunch break.

Hence total time taken to complete the trip = 4 + 2 = 6 hours.

It will take 6 hours to complete the trip.

7 0

3 years ago