Ask question

Ask question

All categories

3 years ago

15

The slope of the line passing through the points (7,5)and(21,15) is

2 answers:

Delicious77 [7]3 years ago

6 0

Y= $\frac{5}{7}$ x+0 is the equation. $\frac{5}{7}$ is the slope.

yan [13]3 years ago

4 0

Answer:

The slope is $\frac{5}{7}$

Step-by-step explanation:

Since, the slope of a line that passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ is,

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

Thus, the slope of the line passes through the points (7,5) and (21,15) is,

$m=\frac{15-5}{21-7}$

$=\frac{10}{14}$

$\implies m=\frac{5}{7}$

You might be interested in

AREA OF A CIRCLE<br> r=3 cm

statuscvo [17]

28.27 is the area bc i had this as an example before lol

5 0

3 years ago

I don't understand can some one help me plz

vaieri [72.5K]

The answer is 7.76 because the fraction written as a decimal would be 7.76 and not any of the other choices they want you to find which number is equal to the fraction number

6 0

3 years ago

Read 2 more answers

4.9 as a imporper fraction

vladimir2022 [97]

Answer:

4/9

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Simplify<br> (2a^3b^5)^2

Andrew [12]

Answer:

2^2a^6b^10

_______________

32

6 0

3 years ago

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.

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

3.

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

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

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

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

By the chain rule,

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

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

4.

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

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

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

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