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BartSMP [9]
3 years ago
15

Point A is at (-1,-9) and Point B is at (2,4). What is the midpoint of line segment AB

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0

Answer:

The answer to your question is (1/2, -5/2)

Step-by-step explanation:

Data

A = (-1, -9)

B = (2, 4)

Formula of midpoint

   Xm = (x1 + x2) / 2

   Ym = (y1 + y2)/2

x1 = -1    y1 = -9    x2 = 2  y2 = 4

To solve this problem just substitute the values in the formula and simplify.

   Xm = (-1 + 2) / 2

   Ym = (-9 + 4) / 2

-Simplify

  Xm = 1/2

  Ym = -5/2

-Solution

 Midpoint (1/2, -5/2)

Mkey [24]3 years ago
6 0

Answer:

Midpoint( .5,-2.5)

Step-by-step explanation:

To find the midpoint, add the x coordinates and divide by 2 and then add the y coordinates and divide by 2

x:  (-1+2)/2 = 1/2=.5

y: (-9+4)/2 = -5/2 = -2.5

Midpoint( .5,-2.5)

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3 years ago
James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total o
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6 0
3 years ago
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There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can t
Sunny_sXe [5.5K]

The quick way to get the answer is just type "42 choose 11" into Google.

Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.

Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.

Final expression:

C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

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4 0
3 years ago
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-8x+32=4(-2-4x)<br>What does X equal ​
marshall27 [118]

Answer:

x = - 5

Step-by-step explanation:

Given

- 8x + 32 = 4(- 2 - 4x) ← distribute parenthesis on right side

- 8x + 32 = - 8 - 16x ( add 16x to both sides )

8x + 32 = - 8 ( subtract 32 from both sides )

8x = - 40 ( divide both sides by 8 )

x = - 5

7 0
3 years ago
Which expression is equivalent to 64x^3-343
In-s [12.5K]

Answer:

B:  (4x - 7)(16x^2 + 28x + 49)

Step-by-step explanation:

64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3.  This is the difference of two cubes.  The appropriate formula for factoring such is

       a^3 - b^3 = (a - b)(a^2 + ab + b^2).  Therefore,

our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49).  This is Answer B.

4 0
3 years ago
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