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3 years ago

If M is the midpoint of line segment XY, find the coordinates of X if M(-3,1) and Y(-8,4)

Mathematics

1 answer:

lozanna [386]3 years ago

6 0

Answer:

The coordinates of point X are (-11/2, 5/2)

Step-by-step explanation:

To find the coordinates of X , we shall apply the midpoint formula;

Mathematically, that would be;

(x , y) = (x1 + x2)/2 , (y1 + y2)/2

From the question

x1 = -3 , x2 = -8

y1 = 1 , y2 = 4

So substituting these values, we have;

(x ,y) = (-3-8)/2, (1 + 4)/2

(x ,y) = -11/2, 5/2

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Sa = 2(pi)(r)(h) + 2(pi)(r^2) v = (pi)(r^2)(h) find the surface area and the volume.

LenKa [72]

If Sa=2πrh+2π $r^{2}$ v=π $r^{2}h$ then the surface area is π $r^{2} h$ and volume is

(rh-2h)/2r.

Given Sa=2πrh+2π $r^{2} v$ =π $r^{2}h$ .

We have to find surface area and volume from the given expression.

Volume is basically amount of substance a container can hold in its capacity.

First we will find the value of v from the expression. Because they are in equal to each other, we can easily find the value of v.

2πrh+2π $r^{2}$ v=π $r^{2}$ h

Keeping the term containing v at left side and take all other to right side.

2π $r^{2}$ v=π $r^{2}h$ -2πrh

v=(π $r^{2}$ h-2πrh)/2π $r^{2}$

v=π $r^{2} h$ /2π $r^{2}$ -2πrh/2π $r^{2}$

v=h/2-h/r

v=h(r-2)/2r

Put the value of v in Sa=2πrh+2π $r^{2} v$

Sa=2πrh+2π $r^{2}$ *h(r-2)/2r

=2πrh+2πrh(r-2)/2

=2πrh+πrh(r-2)

=2πrh+π $r^{2}$ h-2πrh

=π $r^{2}$ h

Hence surface area is π $r^{2}$ h and volume is h(r-2)/2.

Learn more about surface area at brainly.com/question/16519513

#SPJ4

6 0

2 years ago

Help please!!!!!!!!!!

ladessa [460]

Hi! This is a difficult problem because I'm not too familiar with exponential functions but I think that 4^x is an exponential function and 2 multiplied by it means that it's multiplying by an exponential function. Does it make the whole rule exponential? I'm not sure but I don't think it does.

8 0

2 years ago

Which of the following numbers doesn't belong? Why?

algol [13]

Answer:

36 most likely

Step-by-step explanation:

4, 8, 16, 32, 64 is a pattern. You multiply by 2 to get the next term. I would think 36 doesn't belong for this reason.

8 0

3 years ago

Read 2 more answers

Need help ASAP