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maks197457 [2]
3 years ago
10

If the positive z-axis points upward, an equation for a horizontal plane through the point \left(3,2,4\right) is

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
The equation of a (horizontal) plane through (3,2,4) is a plane that has a value of z=4 everywhere on the plane.
Therefore the equation of the required plane is  z=4.
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Answer: -7

Step-by-step explanation:

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1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0
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Answer:

<h3>#1</h3>

The normal overlaps with the diameter, so it passes through the center.

<u>Let's find the center of the circle:</u>

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<u>The center is:</u>

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<u>Since the line passes through (-g, -f) the equation of the line becomes:</u>

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<h3>#2</h3>

Rewrite equations and find centers and radius of both circles.

<u>Circle 1</u>

  • x² + y² + 2ax + c² = 0
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<u>Circle 2</u>

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<u>Since they are same we have:</u>

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<u>Divide both sides by a²b²c²:</u>

  • 1/a² + 1/b² = 1/c²

Proved

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Answer:

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3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $ 1500 higher than in the fir
swat32

Answer:

In city one, the hotel charges before taxes were $5,250.

In city two, the hotel charges before taxes were $6,750.

Step-by-step explanation:

Let the hotel charge in the first city be x and in the second city be y.

Given that the hotel charge before tax in the second city was $ 1500 higher than in the first. That can be written as:

y - x = \$1500 ...[1]

The tax in the first city was 5 %, and the tax in the second city was 8.5 %.

The total hotel tax paid for the two cities was $ 836.25

5% of x + 8.5% of y = $836.25

0.05x+0.085y=\$836.25...[2]

Now putting value of y from [1] in to [2]:

y = \$1500+x

0.05x+0.085\times (\$1500+x)=\$836.25

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x = $5,250

Using vakue of x in [1] to find y:

y=\$1500+\$5,250=\$ 6,750

In city one, the hotel charges before taxes were $5,250.

In city two, the hotel charges before taxes were $6,750.

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3 years ago
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