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ExtremeBDS [4]
3 years ago
7

M is the midpoint of line segment AB. If the coordinates of M are (2, 6) and the coordinates of B are (5, 10), which of the foll

owing represents the coordinates of point A?
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

The coordinates are A(-1,2)

Step-by-step explanation:

we know that

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

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

In this problem we have

M(2,6)\\A(x_1,y_1)

B(x_2,y_2) ---> B(5,10)

substitute the given values

(2,6)=(\frac{x_1+5}{2},\frac{y_1+10}{2})

Solve for x_1

2=(x_1+5)/2\\4=x_1+5\\x_1=4-5=-1

Solve for y_1

6=(y_1+10)/2\\12=y_1+10\\y_1=12-10=2

therefore

The coordinates are A(-1,2)

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san4es73 [151]

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Answer:

  • domain: all real numbers
  • range: y ≥ 0

Step-by-step explanation:

The function is defined for all values of x, so its domain is all real numbers.

The function can produce values of f(x) that are 0 or greater, so its range is ...

  y ≥ 0

4 0
3 years ago
-3x-4=-13 solve inequality plz show work!
Lady bird [3.3K]
Hello Again!

What you want to do first is add 4 to -4 and to -13. After doing so, you'll equation will look a little something like this...

-3x=9

You'll then want to divide both -3 and 9 by -3. After doing so, the equation will look like this...

x=-3

Your answer is x=-3

I hope this helps


6 0
3 years ago
Read 2 more answers
Help math sucks THESE MAKE MY BRAIN DIE​
Flura [38]

Answer:

A ∩ B = {1, 3, 5}

A - B = {2, 4}

Step-by-step explanation:

The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:

A = {1, 2, 3, 4, 5}

B = {1, 3, 5, 6, 9}

One is asked to find the following:

A ∩ B,

A - B

1. Solving problem 1

A ∩ B,

The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,

A ∩ B = {1, 3, 5}

2. Solving problem 2

A - B

Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).

A - B = {2, 4}

3 0
3 years ago
(50 POINTS)
inna [77]
The formula of a function is the rise over run.

The slope would be 2/5.

Hope this helps!
8 0
3 years ago
Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16
AleksandrR [38]

Answer:

  (f\cdot g)(x)=\dfrac{7x-21}{x+4}

Step-by-step explanation:

(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}

7 0
3 years ago
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