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Dafna11 [192]
3 years ago
7

Question 1 Determine the midpoint of the segment with endpoint (-9,3) and (7,-8). Question 2

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

m (-1, -2.5)

Step-by-step explanation:

x1=-9             x2=7             y1= 3            y2=-8

        -9+ 7        3+ -8

m= ------------ , -----------

            2             2

m= -2/2, -5/2

m (-1, -2.5)

mario62 [17]3 years ago
6 0

Answer:

(-1, -2.5)

Step-by-step explanation:

the midpoint of a segment is (\frac{x1+x2}{2} ,\frac{y1+y2}{2}), given points (x1, y1) and (x2, y2)

midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} ) = (\frac{-2}{2}, \frac{-5}{2}  ) = (-1, -2.5)

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How do I Factor -12 out of -24k + 120
Juli2301 [7.4K]

Answer:

-12(2k-10)

Step-by-step explanation:

You divide each term by -12, and then put -12 outside of the parenthesis. The parenthesis contain the new equation you just created.

4 0
3 years ago
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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
  • This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

<u>c) The given equation is 5x − 5 = x + 15</u>

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

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3 years ago
What fraction is represented by the portion of the figure that is NOT shaded? (2 out of 10 are shaded)
OverLord2011 [107]

Well let's see.

If the figure is split up into 10 pieces, then
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If  2  of the pieces are shaded, then
2/10  of the whole figure is shaded.

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There were 10 pieces all together, and
2 of them are shaded.  Hmmm.  I think
there are probably  (10 - 2) = 8  of them left
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Answer:

No solution.

Step-by-step explanation:

Nothing can be further done

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Masteriza [31]

Answer:

The value of x is 75

Step-by-step explanation:

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To find the degrees of the other angle we subtract 155 from 180.

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Now we have to find the value of x. Add 80 and 25 together to get 105. A triangle is going to be 180 degrees. Subtract 105 from 180.

180 - 105 = 75

Now we will add 80, 25, and 75 to check our work.

80+25+75 = 180

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