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3 years ago

The endpoints of EF are E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of EF?

Mathematics

2 answers:

tatyana61 [14]3 years ago

7 0

Answer:

The coordinates of the midpoint of EF is equal to

$(\frac{xE+xF}{2},\frac{yE+yF}{2})$

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

In this problem we have

$(x1,y1)=(xE,yE)$

$(x2,y2)=(xF,yF)$

Substitute the values in the formula

$M=(\frac{xE+xF}{2},\frac{yE+yF}{2})$

baherus [9]3 years ago

7 0

I guess you are looking for a general way of writing a midpoint in coordinate system.
we have the following:
E(xe, ye) and F(xf,yf)
then mind point is as follows
((xe+xf)/2, (ye+yf)/2)

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Integrate dx/sin3xtan3x

disa [49]

$\displaystyle\int\frac{\mathrm dx}{\sin3x\tan3x}=\int\frac{\cos3x}{\sin^23x}$

Set $u=\sin3x$ , so that $\mathrm du=3\cos3x\,\mathrm dx$ . Then the integral is

$\displaystyle\frac13\int\frac{\mathrm du}{u^2}=-\frac1{3u}+C=-\frac1{3\sin3x}+C=-\frac13\csc3x+C$

Or, if you meant exponents in place of coefficients,

$\displaystyle\int\frac{\mathrm dx}{\sin^3x\tan^3x}=\int\csc^3x\cot^3x\,\mathrm dx=\int\csc^2x\cot^2x\csc x\cot x\,\mathrm dx$

Let $u=\csc x$ , so that $\mathrm du=-\csc x\cot x\,\mathrm dx$ , and use the fact that $\csc^2x=\cot^2x+1$ to get

$\displaystyle-\int u^2(u^2-1)\,\mathrm du=\int (u^2-u^4)\,\mathrm du=\frac13u^3-\frac15u^5+C$
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3 years ago

PLEASE HELP ME!!! THE HIGHLIGHTED IS MY GUESS!! BRAINLIEST OFFERED!!! THANKS!!

AURORKA [14]

Answer:

it is B. 5

Step-by-step explanation:

9/-3= -3

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3 years ago

Find The Missing Term.

wel

Hey!
So the number between needs to be the same number away from 23 and 49. 18 is less than 23 and 49 but we need a number between 23 and 49, so thats a no. same with 72.
Now we are left with 36 and 29.5.
well 29.5 is 6.5 points away from 23 but it is 19.5 points away from 49. So thats a no too because the difference is not the same.
now 36 is 13 away from 23 and also 13 away from 49 and the difference is the same
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5 0

3 years ago

Read 2 more answers

Choose the correct solution and graph for the inequality "-x/3<=6"

lina2011 [118]

Answer:

Step-by-step explanation:

To solve this inequality, we have to find x (or make x the subject of the inequality:

since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]

- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]

<h3> x ≥ - 18 [this is the solution]</h3><h3 />

To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.

We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.

7 0

3 years ago

Florence works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 3 ki

Damm [24]

Answer:

50 kg

Step-by-step explanation:

Given that:

SMALL HELICOPTERS:

Weight of small helicopters = 3kg

Weight of shipping container = 20kg

LARGE HELICOPTERS:

Weight of large helicopters = 4kg

Weight of shipping container = 10kg

Number of helicopters each shipping container can hold = s ; all of the packed containers will have the same shipping weight

Shipping weight :

(Weight per helicopter * number of helicopter) + weight of shipping container

Shipping weight of Small helicopters :

(3kg * s) + 20

Shipping weight Large helicopters :

(4kg * S) + 10

Shipping weight of Small helicopters = shipping weight of large helicopters

3s + 20 = 4s + 10

20 - 10 = 4s - 3s

10 = s

Hence, member of shipped helicopters = 10

Total shipping weight :

(4 * S) + 10

(4*10) + 10

40 + 10 = 50kg

4 0

3 years ago