All categories

3 years ago

What is the endpoint formula given midpoint?

Mathematics

1 answer:

zysi [14]3 years ago

7 0

Answer:

B = 2M -A

Step-by-step explanation:

For given endpoint A and midpoint M, the other endpoint B can be found using the definition of the midpoint:

M = (A+B)/2

2M = A+B . . . . . multiply by 2

2M-A = B . . . . . subtract A

The second endpoint can be found by subtracting the given endpoint from twice the midpoint:

B = 2M -A

You might be interested in

A number,n, is at least -1.5

Whitepunk [10]

Change that into a mathematical inequality and you get
n>_ -1.5
n is greater than or equal to -1.5
Hope this helps :)

7 0

3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

One number is 3 less than 5 times another number. The sum of the numbers is 27. What are the two numbers? Enter your answers in

kaheart [24]

x ,y are the numbers

x = 5y-3

x+y = 27

substitute first equation into the second

(5y-3) +y =27

combine like terms

6y-3=27

add 3 to each side

6y=30

divide by 6

y=5

x = 5y-3

x=5*5-3

x=22

the two numbers are 22 and 5

5 0

3 years ago

Hello, please help me out on this, I really need help (:

Nadya [2.5K]

15 tenths 3 ones

total of 153

4 0

2 years ago

A circle with a shaded sector has a circumference of 12 pi millimeters. What is the area of the shaded sector? Express the answe

valentinak56 [21]

Answer:

The answer is C. 8 mm

Step-by-step explanation:

For me, i was able to divide the 80 by 12 and get 6.667 thus i was able to round up and conclude the answer in the answer choices

7 0

3 years ago

Read 2 more answers