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3 years ago

Round each number to the nearest hundred thousand 179,426 2

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

200,000 thousand is the answer kid.

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adoni [48]

Answer:

feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.

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3 years ago

You want to find the height of one of the tires. Which measurement would best describe the height

Tasya [4]

Depends pn how big the tire is so it might be meter or centimetre

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3 years ago

Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and ra

Viktor [21]

Answer:

This is a sphere with a center $(\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )$ and radius $\dfrac{4 \sqrt{3}}{3}$

Step-by-step explanation:

Given that: (x,y,z)

where;

d₁ is the distance from the origin = $\sqrt{x^2+y^2+z^2}$

d₂ is the distance from (2,2,2) = $\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}$

Also;

d₁ = 2d₂

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

By squaring both sides;

$x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)$

$x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2$

$x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)$

$x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16$

Collect the like terms:

$0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16$

$0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16$

Divide both sides by 3

$\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}$

$0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}$

Using the completing the square method;

$3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}$

$\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2$

∴

This is a sphere with a center $(\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )$ and ;

radius; $\sqrt{\dfrac{16}{3}}$

$= \dfrac{4 \sqrt{3}}{3}$

6 0

3 years ago

4. If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to

photoshop1234 [79]

Oxygen

Step-by-step explanation:

That's what I think

5 0

3 years ago

Y=x²+4x-5

Hunter-Best [27]

a = 1
b = 4
c = -5

<h3>Find y-intercept⤵️</h3>

(x,y) = (0,-5)

<h3>Minimum or maximum value⤵️</h3>

The minimum value is -9 at x=-2

<h3>Axis of symmetry⤵️</h3>

x= -2

<h3>Find x-intercepts⤵️</h3>

x= -5 & x= 1

5 0

3 years ago