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3 years ago

The equation of a line is x = -4. Will this produce a horizontal, vertical, or diagnol line?

Mathematics

1 answer:

Nuetrik [128]3 years ago

3 0

Vertical because the line passed through -4 on the x axis

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Y=1/4x interpret the slope

VLD [36.1K]

Answer:

Step-by-step explanation:

well you start at origin 0 because there is no y-intercept so you would do rise over run up 1 over 4, 1/4 is your slope

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3 years ago

Solve the formula t=v+k/g for g

Brut [27]

$t=v+\frac{k}{g}\\\\v+\frac{k}{g}=t\ \ \ \ |subtract\ v\ from\ both\ sides\\\\\frac{k}{g}=t-v\iff\frac{g}{k}=\frac{1}{t-v}\ \ \ \ |multiply\ both\ sides\ by\ k\neq0\\\\\boxed{g=\frac{k}{t-v}}$

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3 years ago

What is the length and width of the rectangle if the area is 72 squre meters?

cupoosta [38]

Answer:

sorry

Step-by-step explanation:

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2 years ago

In Owen's class there are three times as many boys as girls. There are 18 boys in the class how many pupils are in the class alt

9966 [12]

3x = 18 - 3 times girls = # boys = 18
x = 6 - # of girls in the class

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3 years ago

Read 2 more answers

In Exercises 3–10, use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independent varia

sashaice [31]

I'll use subscript notation for brevity, i.e.

$\dfrac{\partial f}{\partial x}=f_x$

$f(x,y,z)=xy+z^2\implies\begin{cases}f_x=y\\f_y=x\\f_z=2z\end{cases}$

$x(r,s)=s^2\implies\begin{cases}x_r=0\\x_s=2s\end{cases}$

$y(r,s)=2rs\implies\begin{cases}y_r=2s\\y_s=2r\end{cases}$

$z(r,s)=r^2\implies\begin{cases}z_r=2r\\z_s=0\end{cases}$

By the chain rule,

$f_r=f_xx_r+f_yy_r+f_zz_r=2xs+4zr=2s^3+4r^3$

$f_s=f_xx_s+f_yy_s+f_zz_s=2ys+2xr=6rs^2$

$x(r,s,t)=r+s-2t\implies\begin{cases}x_r=1\\x_s=1\\x_t=-2\end{cases}$

$y(r,s,t)=3rt\implies\begin{cases}y_r=3t\\y_s=0\\y_t=3r\end{cases}$

$z(r,s,t)=s^2\implies\begin{cases}z_r=0\\z_s=2s\\z_t=0\end{cases}$

By the chain rule,

$f_r=f_xx_r+f_yy_r+f_zz_r=y+3xt=3rt+3r+3s-6t^2$

$f_s=f_xx_s+f_yy_s+f_zz_s=y+4zs=3rt+4s^3$

$f_t=f_xx_t+f_yy_t+f_zz_t=-2y+3xr=3r+3s-12rt$

8 0

3 years ago