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2 years ago

Which of the following pairs show two congruent triangles?

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

6 0

B and C only because they are equal in size.

Dvinal [7]2 years ago

4 0

Answer:

B and C

Step-by-step explanation:

They're congruent

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Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

What is the value of (6.6*10¹⁷)-(9.2*10¹⁴) over (4*10¹⁶)

Gennadij [26K]

Answer:

6.59999999999999999977 × 10^17

Step-by-step explanation:

6.6 x 10^17 - (9.2 x 10^14)/(4 x 10^16)

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3 years ago

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Furkat [3]

Answer

It's D

Step-by-step explanation:

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3 years ago

How do I do question 5. ?

-BARSIC- [3]

The first one shown, 400/2, is showing the point on the graph where she walks 400 ft in 2 minutes. In order to find the next proportion, you just have to look two minutes over which in this case is 800 ft for 4 minutes... written 800 over 4.

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2 years ago

johan earns $650 per week and works 48 hours a week. if he gets a free tax allowance of $8000, pays tax at a rate of 10% on the

insens350 [35]

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

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2 years ago