2 years ago

Slope of a line -2 and IT contains the point (4,1 ) write the point slope equation

Mathematics

1 answer:

ivolga24 [154]2 years ago

7 0

Answer:

y - 1 = -2 (x - 4)

You might be interested in

Round 100.9158 to the nearest whole number

Natalka [10]

The answer would be 101

6 0

2 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

WITCHER [35]

4sqrt(3)

See the diagram below.

5 0

2 years ago

Find x. Round your answer to the nearest tenth of a degree.

Kaylis [27]

Answer:

Step-by-step explanation:

hello :

tanx= 15/20

x=36.97°

7 0

3 years ago

In the portrait mode, your camera will automatically use the smallest aperture possible.

Natali5045456 [20]

<span>False. It will choose a larger aperture for quality.</span>

5 0

2 years ago

Read 2 more answers

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago