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Tanzania [10]
3 years ago
12

Find a the coordinate of the midpoint M given the two endpoints

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

The midpoint of these two points would be (2, 8)

To find the midpoint of any two points, simply take the average of the x's and then the average of the y's. This will create a point directly in between them. To take an average, add the points together and then divide by 2. We'll start with the x values.

X VLAUE

11 + - 7 = 4

4/2 = 2

Next we do the same for the y value.

Y VALUE

3 + 13 = 16

16/2 = 8

Now we can take these two answers and put them together for the ordered pair of (2, 8)

jolli1 [7]3 years ago
5 0

The midpoint of the two coordinates are M (2, 8)

Midpoint is calculated with the following formula:

\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}

\frac{11+-7}{2}, \frac{3+13}{2}

\frac{4}{2}, \frac{16}{2}

2, 8

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Write as an addition problem: 53 - (-53 )
Vlad [161]

Answer: 106

Step-by-step explanation:

53-(-53)

= 53 + 53     [ the product of - and - gives +]

= 106

Hope it helped u,

pls mark as the brainliest

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7 0
3 years ago
Kayaks rent for $35 per day.Write an expression using the distributive property that can help you find the cost in dollars of re
Nataly_w [17]

Answer:

($35/day per kayak)(3 kayaks)(1 day) = $105

Step-by-step explanation:

($35/day per kayak)(3 kayaks)(1 day) = $105, total cost to rent 3 kayaks for a day.

6 0
3 years ago
AB is parallel to DC.
PilotLPTM [1.2K]

Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)

6 0
3 years ago
Help!! Explain why the triangles are similar. Then find the distance represented by x
mart [117]

Answer:

Q- 8 ) The value of x  is 48 feet

Q-9 ) The value of x  is 10  

Step-by-step explanation:

Given two figures as :

8 ) Let AB = 3 ft

          AO = 5 ft

         PQ = x ft

         PO = 80 ft

Now, From figure ,

  AB║PQ

∠ AOB = ∠ POQ  ( vertically opposite angles )

∠ A = ∠ P

So , Δ AOB \sim  Δ POQ

Now <u>From similar triangle property </u>

 \dfrac{AB}{PQ} =   \dfrac{AO}{PO}

Or,   \dfrac{30}{x} =   \dfrac{50}{80}

Or, x =  \dfrac{2400}{50}

∴   x = 48 feet

9 ) Now, From the figure

 ABC is a large Triangle and  ADE is a small triangle

So, To prove both are similar

Since  DE ║ BC

∠ ADE = ∠ ABC                     corresponding angles

and , ∠ AED = ∠ ACB            corresponding angles

So, by angle angle

Δ ADE \sim  Δ ABC

Now, <u>From the similarity property</u>

 \dfrac{AE}{AC} =   \dfrac{DE}{BC}

Or,   \dfrac{6}{6+x} =   \dfrac{x-1}{2x+4}

Or,  6 × ( 2 x + 4 ) = ( x - 1 ) × (6 + x )

Or,  12 x + 24 = 6 x + x² - 6 - x

Or,  12 x - 5 x + 30 = x²

or,  x² - 7 x - 30 = 0

Or, x² - 10 x + 3 x - 30 = 0

or, x ( x - 10 ) + 3 ( x - 10 ) = 0

Or , ( x - 10 ) ( x + 3 ) = 0

∴  x = 10 , - 3

so, positive value of x is consider , i.e x = 10

Hence The value of x for Q- 8 is 48 feet

And the value of x for Q-9 is 10   .  Answer

5 0
3 years ago
Find the sequence: -1, 3, -9, 18, -54,....
Alex17521 [72]

Answer:

The negative numbers are going up by x9, and the positive numbers are going up by x6

Step-by-step explanation:

the pattern continued would be -1,3,-9,18,-54,108,-458.....

5 0
3 years ago
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