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3 years ago

Write the equation of the line that passes through the point (2, 4) and has a slope of 3

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

4 0

Answer:

Step-by-step explanation:

y - 4 = 3(x - 2)

y - 4 = 3x - 6

y = 3x - 2

standard form

-3x + y = -2

lidiya [134]3 years ago

3 0

Answer:

this will be step by step so bear with me

Step-by-step explanation:

first you must plug it into the point slope form

y-y1=m(x-x1)

plug in

y-y1=3(x-2)

distribute the three into the ()

y-4=3x-6

now add 4 to both sides

y=3x-2

now standard form

Ax+By=C

y=3x-2

add 2 to both sides

y+2=3x

subtract y from both sides

2=3x-y

flip around the equation

3x-y=2

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Find the projection of u onto v URGENT HELP

padilas [110]

Given:

Two vectors are:

$u=\left$

$v=\left$

To find:

The projection of u onto v.

Solution:

Magnitude of a vector $v=\left$ is:

$|v|=\sqrt{a^2+b^2}$

Dot product of two vector $v_1=\left$ and $v_2=\left$ is:

$v_1\cdot v_2=a_1a_2+b_1b_2$

Formula for projection of u onto v is:

$Proj_vu=\dfrac{u\cdot v}{|v|^2}v$

$Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left$

$Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left$

$Proj_vu=\dfrac{0+102}{293}\left$

On further simplification, we get

$Proj_vu=\dfrac{102}{293}\left$

$Proj_vu=\left$

Therefore, the projection of u onto v is $Proj_vu=\left$ .

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3 years ago

Given the function f(x) = -3x2 + 4x + 6, find f(2) and f(3). Choose the statement that is true concerning these two values.

denis23 [38]

Answer:

The value of f(2) is larger than the value of f(3).

Step-by-step explanation:

$f(x) = -3x^{2} +4x+6\\f(2) = -3*2^{2} +4*2+6=2\\f(3) = -3*3^{2} +4*3+6=-9\\$

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Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V’W’X’Y’

pav-90 [236]

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Mrrafil [7]

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Step-by-step explanation:

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Len [333]

Answer:

Step-by-step explanation:

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