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3 years ago

Find an equation of the line through the point (3,2) with a slope of −2.

Mathematics

2 answers:

topjm [15]3 years ago

3 0

Answer:

y=-2x+b

Step-by-step explanation:

Just use the formula y=ax+b, and input -2 as A, and 3, as x, and 2, as y, and then simplify.

zlopas [31]3 years ago

3 0

Y=-2x+(-3)

Because you still need to find b so you plug in 3,2 into y=Mx+b so you get 2=-2*3+b
And you solve -2*3 = -6 and 2 divided by -6 is -3 so you get y=-2x+(-3)

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A particle starts at the point P=(−5,−1,3) when t=0 and moves along a straight line toward Q=(−6,−6,8) at a speed of 9 cm/sec. L

navik [9.2K]

Answer:

Step-by-step explanation:

Given

Particle moves from $P\ (-5,-1,3)\ to\ Q\ (-6,-6,8)$

speed of particle is $v=9\ cm/s$

Unit vector in the direction of vector $\vec{PQ}$ is given by

$\hat{n}=\frac{\vec{Q}-\vec{P}}{|\vec{Q}-\vec{P}|}$

$\hat{n}=\frac{-}{\sqrt{(-1)^2+(-5)^2+(5)^2}}$

$\hat{n}=\frac{}{\sqrt{1+25+25}}$

Now Position of Particle at any time is given by

$\vec{r(t)}=velocity\cdot time\cdot direction$

$\vec{r(t)}=9\cdot t\cdot \frac{}{\sqrt{1+25+25}}$

Parametric vector equation is given by

$x=\frac{-9t}{\sqrt{51}}$

$y=\frac{-45t}{\sqrt{51}}$

$z=\frac{45t}{\sqrt{51}}$

6 0

3 years ago

WHAT IS X AND PLEASE SHOW WORK!!!!

Semenov [28]

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4 0

2 years ago

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vichka [17]

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2 years ago

Read 2 more answers

Simplify the expression. 4√ 6+ 5√6

pshichka [43]

Answer:

9√6

Step-by-step explanation:

4√6+5√6

=(4+5)√6

=9√6

5 0

2 years ago

1. The ordered pair (-1, -1) is a solution of the system -4x + 2y = 2 and x + y = -2.

Nastasia [14]

1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.

5 0

2 years ago