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3 years ago

SOMEONE HELP PLEASE

Mathematics

2 answers:

gulaghasi [49]3 years ago

8 0

Answer:

So the correct answer is option B- ( b - a )

Step-by-step explanation:

Given that M and N are the mid-points of RT and ST.

We are to find the length of MN.

As shown in the figure,

the co-ordinates of the point T are (2c, 2d),

the co-ordinates of the point S are (2b, 0),

and

the co-ordinates of the point R are (2c, 2d).

Since M is the mid-point of TR, so the co-ordinates of M are

$\left(\dfrac{2c+2a}{2},\dfrac{2d+0}{2}\right)$ =(c+a,d).

Also, N is the mid-point of TS, the co-ordinates of N are

$\left(\dfrac{2c+2b}{2},\dfrac{2d+0}{2}\right)$ =c+b,d)(.

Therefore, the length of the line segment MN calculated using distance formula will be

MN= $\sqrt{(c+b-c-a)^2+(d-d)^2}=\sqrt{(b-a)^2}$ =b-a.

Thus, the required length of MN is (b - a) units.

Option (B) is correct.

yan [13]3 years ago

7 0

I have this same question, can anyone answer it?

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Next, we determine the rate at which the quantity demanded changes with respect to time.

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$\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}$

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Therefore:

$\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009$