All categories

3 years ago

Find the other endpoint given the following Endpoint: (5,-3) Midpoint: (7,-6)

Mathematics

1 answer:

dusya [7]3 years ago

7 0

The answer is (9, -9) for The second endpoint.

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 5)/2 = 7

Kx + 5 = 14

Kx = 9

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -3)/2 = -6

Ky + 3 = -12

Ky = -9

This gives us the final point of (9, -9)

You might be interested in

Solve For Q<br><br> q/10=4<br><br> Please Answer This For Me. Thanks.

Maurinko [17]

$\frac{q}{10} = 4\\q = 4 * 10\\q = 40$

Answer: 40.

3 0

2 years ago

Read 2 more answers

Find the rectangular coordinates of the point with the polar coordinates (3, 3 divided by 2 pi ). (1 point)

kifflom [539]

Answer:

The correct choice is (0,-3)

Step-by-step explanation:

To convert from polar coordinates to rectangular coordinates, we use the parametric equations:

$x=r\cos \theta$ and $y=r\sin \theta$

The point given to us in polar coordinates is $(3,\frac{3}{2}\pi)$ .

where $r=3,\theta=\frac{3\pi}{2}$

$x=3\cos (\frac{3\pi}{2})$ and $y=3\sin( \frac{3\pi}{2})$

$x=3(0)$ and $y=3(-1)$

$x=0$ and $y=-3$

The correct choice is (0,-3)

5 0

2 years ago

Find the volume of a cylinder of radius 10 cm and height 22 cm. ANSWERS: 6,911.5 cm3 691.2 cm3 20.9 cm3 62.8 cm3

goldfiish [28.3K]

Answer:

$= 6911.5 {cm}^{3} \\$

Step-by-step explanation:

$v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3}$

hope this helps you.

7 0

2 years ago

Somebody please help me out!

dmitriy555 [2]

Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12

I hope this somewhat helped :)
Was my explanation clear enough?

4 0

2 years ago

Find an equation of the line that has undefined slope and contains the point left parenthesis negative 1 comma 6 right parenthes

Rudiy27

When the slope isn't defined, it's not possible to write the line in slope-intercept form. No slope means a vertical line, which here must be

$x= -1$

The ordered pair (-1,6) obviously satisfies the above equation so is on the vertical line $x=-1$ .

6 0

3 years ago