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4 years ago

Write an equation using the given information. m = -2, b = 4

Mathematics

1 answer:

Oliga [24]4 years ago

5 0

Answer:

y = -2x + 4

Step-by-step explanation:

y = mx +b is slope intercept form so all you have to do is plug in the values. To get y= -2 + 4

Hope that helps and have a great day!

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If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o

Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

$v(t)=2 \sin(t) \: \: {ms}^{ - 1}$

To find the displacement function, we need to to Integrate the velocity function.

$s(t) = \int \: 2 \sin(t) dt$

$s(t) = - 2 \cos(t) + k$

At time t=0, there was no displacement.

This implies that,

$s(0) = 0$

$0= - 2 \cos(0) + k$

$0= - 2 + k$

$k = 2$

The displacement function then becomes,

$s(t) = - 2 \cos(t) + 2$

To find the displacement over the first π seconds, we put

$t = \pi$

into the equation for the displacement to get,

$s(\pi) = - 2 \cos(\pi) + 2$

$s(\pi) = - 2 ( - 1) + 2$

$s(\pi) = 2 + 2 =4 ft$

7 0

4 years ago

Basir buys 4 small drinks for $6.write an equation to represent the cost ,c d small drinks

alekssr [168]

C divided by D = $2......The drinks cost $2 each....Please mark as brainliest...I want a new rank...

8 0

3 years ago

Read 2 more answers

Find the radius of circle if AB = 24 and OC = 5

Likurg_2 [28]

Answer:

Step-by-step explanation:

Since OCB forms a right triangle, you can find the length of side OB and therefore the radius by simply using the pythagorean theorem. The first step is to note that, since AB=24 and OC bisects that, that both CB and AC have length 12. Therefore, the radius is $BO=\sqrt{12^2+5^2}=13$ . Hope this helps!