Write the equation in point -slope form of the line that passes through the given point and has the given slope (4,-7);m=-1/4

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

6 0

Y+7 = -1/4x (x-4)

Mark brainliest please

Hope this helps

You might be interested in

How do you write 15,409 in word form

postnew [5]

15,000 --> fifteen thousand
400 --> four hundred
00 --> zero
9 --> nine

If you put this all together it gives you fifteen thousand four hundred and nine.

5 0

3 years ago

Read 2 more answers

A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$