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3 years ago

(-1, 3) and (7, -1)Find the coordinates of the midpoint of the segment with the endpoints listed below.

Mathematics

1 answer:

exis [7]3 years ago

3 0

Answer:

(3,1)

Step-by-step explanation:

You add the x coordinates then divide them by 2

And then add the y coordinates then divide them by 2 also

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Suppose quantity s is a length and quantity t is a time. Suppose the quantities v and a are defined by v = ds/dt and a = dv/dt.

finlep [7]

Answer:

a) $v = \frac{[L]}{[T]} = LT^{-1}$

b) $a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

c) $\int v dt = s(t) = [L]=L$

d) $\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

e) $\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

Step-by-step explanation:

Let define some notation:

[L]= represent longitude , [T] =represent time

And we have defined:

s(t) a position function

$v = \frac{ds}{dt}$

$a= \frac{dv}{dt}$

Part a

If we do the dimensional analysis for v we got:

$v = \frac{[L]}{[T]} = LT^{-1}$

Part b

For the acceleration we can use the result obtained from part a and we got:

$a = \frac{[L}{T}^{-1}]}{{T}}= L T^{-1} T^{-1}= L T^{-2}$

Part c

From definition if we do the integral of the velocity respect to t we got the position:

$\int v dt = s(t)$

And the dimensional analysis for the position is:

$\int v dt = s(t) = [L]=L$

Part d

The integral for the acceleration respect to the time is the velocity:

$\int a dt = v(t)$

And the dimensional analysis for the position is:

$\int a dt = v(t) = [L][T]^{-1}=LT^{-1}$

Part e

If we take the derivate respect to the acceleration and we want to find the dimensional analysis for this case we got:

$\frac{da}{dt}= \frac{[L][T]^{-2}}{T} = [L][T]^{-2} [T]^{-1} = LT^{-3}$

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3 years ago

(03.06) Given the equation y − 3 = one half (x + 6) in point-slope form, identify the equation of the same line in slope interce

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y-3=1/2x +3
y = 1/2x + 6

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Find the slope of the line that contains (-3,7) and (5,-3)

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-5/4 is the slope of a line that contains those two points

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I would have to say the second answer

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Consider the function f (x)=3x+2 what is f(2)? enter answer as simplified fraction

Evgen [1.6K]

Answer:

The answer is that f(2) = 8

Step-by-step explanation:

In order to find this answer, we start by inputting the value in the parenthesis for x.

f(x) = 3x + 2

f(2) = 3(2) + 2

Now we do out the arithmetic

f(2) = 3(2) + 2

f(2) = 6 + 2

f(2) = 8

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