Ask question

Ask question

All categories

2 years ago

10

Write an equation in point-slope form of the line that passes through (3, -8) and (7,-2).

2 answers:

sashaice [31]2 years ago

3 0

Answer:

A line that passes through (3, -8) and (7,-2).

Denote equation of that line: y = ax + b

=> Slope a can be directly determined by:

a = (7 - 3)/(-2 - -8) = 4/6 = 2/3

=> y = (2/3)x + b

This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10

=> y =(2/3)x - 10

There are other ways to find equation of line.

Hope this helps!

:)

barxatty [35]2 years ago

3 0

Answer:

$\frac{3}{2} x+10$

Step-by-step explanation:

$\frac{y1 - y2}{x1 - x2} \\ \frac{ - 8 - ( - 2)}{3 - 7} \\ \frac{ - 8 + 2}{ - 4} \\ \frac{ - 6}{ - 4} \\ = \frac{3}{2}$

y=3/2x+c

-8-3/2=c

c=10

You might be interested in

Carol drove 720 km in 9 hours. What was her rate in km/hr?<br> Please help

Nastasia [14]

Answer:

80 km/hr

Step-by-step explanation:

This is asking for speed.

Speed=Distance/Time

Speed=720/9

Speed=80 km/hr

4 0

3 years ago

Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do

const2013 [10]

Answer:

$y_p=A+Bt+Ce^{2t}$

Step-by-step explanation:

Given: $y'' - 2y' = 6t + 5e^{2t}$ .

we need to find the correct form for $y_p$ if the equation is solve using undetermined coefficients.

A first order differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}=f\left ( x,y \right )$ is said to be homogeneous if $f(tx,ty)=f(x,y)$ for all t.

Consider homogeneous equation $y''-2y'=0$

Let $y=e^{rt}$ be the solution .

We get $(r^2-2r)e^{rt}=0$

Since $e^{rt}\neq 0$ , $r^2-2r=0$ .

So, we get solution as $y_c=c_1+c_2e^{2t}$

As constant term and $e^{2t}$ are already in the R.H.S of equation

$y" - 2y' = 6t + 5e^{2t}$ , we can take $y_p$ as $y_p=A+Bt+Ce^{2t}$

6 0

3 years ago

Which graph most likely shows the experimental probability histogram of X based on 100 data points?

Archy [21]

Answer:

see attached

Step-by-step explanation:

Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...

has bars that total 100 in their length
has bars that are approximately .50, .25, .17, .08 in height, corresponding to the area fraction

We think the appropriate choice may be C, but we cannot tell for sure.

3 0

2 years ago

If ln(4x+y)=2x-3,then dy/dx=

Viktor [21]

$\ln(4x+y)=2x-3$

Differentiate both sides wrt $x$ :

$\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}$

By the chain rule, we get

$\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2$

$\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2$

Solve for $\frac{\mathrm dy}{\mathrm dx}$ :

$4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y$

$\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}$

4 0

2 years ago

Find the median from the.given data.<br>10, 30, 20, 40, 50, 20, 60<br>2

podryga [215]

Answer:

25

Step-by-step explanation:

4 0

2 years ago