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4 years ago

Find the equation of the sphere of radius 5 that lies above the xy-plane that just touches the xy-plane at the point (4, −6, 0)

Mathematics

1 answer:

aev [14]4 years ago

4 0

touches the xy-plane at the point (4, −6, 0)

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The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago

Your paycheck this week is $138.25. You put the $42.54 in a savings account that pays an interest rate of 6%, compounded yearly.

ASHA 777 [7]

Amount of money you will have = 42.54(1+6/100)^5=56.9

3 0

3 years ago

i know that it’s B, and i’ve explained that it’s because there is no correlation among the data points but for some reason it’s

Elina [12.6K]

I think the answer would be C

As it is basically a straight line so there wouldn't be necessary for there to be a scatter diagram for it.

I may be wrong so take it with a grain of salt

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2 years ago

The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?

olga nikolaevna [1]

Answer:

Step-by-step explanation:

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3 years ago

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padilas [110]

Answer:

Step-by-step explanation:

15*20*30= 9,000

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3 years ago

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