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3 years ago

If 1 kilometer equals 1,000 meters, how many meters are equal to 6 kilometers?

Mathematics

2 answers:

Andreas93 [3]3 years ago

3 0

Answer:

6000

Step-by-step explanation:

if 1 kilometer equals 1000 meters then 6 kilometers is equal to 6000 kilometers

djverab [1.8K]3 years ago

3 0

6,000 meters

If 1 kilometer equals 1,000 meters
All you gotta do is 6 x 1,000 which equals 6,000 and there go your answer

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In two or more complete sentences describe the process in writing the equation of a line given two points?

Alona [7]

Answer:

First, we have to find slope. We do that by using slope formula. Once we have found slope, we have start to write our equation in slope-intercept form. To get the complete equation, we need to find the y-intercept. To do so, we simply plug in one of the coordinates given to us into our half-formed equation. We should be able to find the y-intercept and then have our complete linear equation once we write it all out.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m = \frac{y_2-y_1}{x_2-x_1}$

4 0

3 years ago

Find all possible values of α+

const2013 [10]

Answer:

$\rm\displaystyle 0,\pm\pi$

Step-by-step explanation:

please note that to find but α+β+γ in other words the sum of α,β and γ not α,β and γ individually so it's not an equation

===========================

we want to find all possible values of α+β+γ when tanα+tanβ+tanγ = tanαtanβtanγ to do so we can use algebra and trigonometric skills first

cancel tanγ from both sides which yields:

$\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \alpha ) \tan( \beta ) \tan( \gamma ) - \tan( \gamma )$

factor out tanγ:

$\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \gamma ) (\tan( \alpha ) \tan( \beta ) - 1)$

divide both sides by tanαtanβ-1 and that yields:

$\rm\displaystyle \tan( \gamma ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{ \tan( \alpha ) \tan( \beta ) - 1}$

multiply both numerator and denominator by-1 which yields:

$\rm\displaystyle \tan( \gamma ) = - \bigg(\frac{ \tan( \alpha ) + \tan( \beta ) }{ 1 - \tan( \alpha ) \tan( \beta ) } \bigg)$

recall angle sum indentity of tan:

$\rm\displaystyle \tan( \gamma ) = - \tan( \alpha + \beta )$

let α+β be t and transform:

$\rm\displaystyle \tan( \gamma ) = - \tan( t)$

remember that tan(t)=tan(t±kπ) so

$\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm k\pi )$

therefore when k is 1 we obtain:

$\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm \pi )$

remember Opposite Angle identity of tan function i.e -tan(x)=tan(-x) thus

$\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm \pi )$

recall that if we have common trigonometric function in both sides then the angle must equal which yields:

$\rm\displaystyle \gamma = - \alpha - \beta \pm \pi$

isolate -α-β to left hand side and change its sign:

$\rm\displaystyle \alpha + \beta + \gamma = \boxed{ \pm \pi }$

when is 0:

$\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta \pm 0 )$

likewise by Opposite Angle Identity we obtain:

$\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm 0 )$

recall that if we have common trigonometric function in both sides then the angle must equal therefore:

$\rm\displaystyle \gamma = - \alpha - \beta \pm 0$

isolate -α-β to left hand side and change its sign:

$\rm\displaystyle \alpha + \beta + \gamma = \boxed{ 0 }$

and we're done!

8 0

3 years ago

Read 2 more answers

a 3 dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sect

Kruka [31]

Answer:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

Step-by-step explanation:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

8 0

3 years ago

Tye is making trail mix with 3 cups of nuts for every 4 cups of granola. if tye has 6 cups of nuts, how many cups of granola sho

lyudmila [28]

8 cups of granola for 6 cups of nits

8 0

3 years ago

Write your answer as a fraction or as a whole

NeTakaya

Answer:

Perimeter=25

Step-by-step explanation:

HOPE THIS HELPS YOU

6 0

2 years ago