All categories

2 years ago

Which expression is equivalent to 6(-7k - 2) + 6k?

Mathematics

1 answer:

makvit [3.9K]2 years ago

4 0

Answer:

-36k - 12 that is the answer

You might be interested in

a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find

daser333 [38]

The line has equation

$\vec r(t)=(4,-4,8)+(-1,4,-3)t$

where $t$ is any real number. $(-1,4,-3)t$ is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

$\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}$

Solving for $t$ in each equation gives the symmetric form,

$t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}$

The line has intercepts in the coordinate planes wherever either the $x$ , $y$ , or $z$ coordinate is 0.

$xy$ -plane:

$z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)$

$yz$ -plane:

$x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)$

$xz$ -plane:

$y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)$

7 0

2 years ago

Edward wants to determine which skateboarder won a race. The actual time taken by four skateboarders to skate the same distance

iogann1982 [59]

Skateboarder B. 4.24 will show as a different time since the stopwatch rounds to the nearest tenth and to round up it has to be 0.5+ and to round down you need 0.4 or below and in this case Skateboarder B. has a time of 4.24 thus it has a different time than the other times.

I Hope this helped you!

7 0

2 years ago

Read 2 more answers

Given that g(x)=3x - 12, what is the value of x when g(x)=-27?

Lorico [155]

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

-27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12