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-Dominant- [34]
3 years ago
8

Please help CANT MISS ANYMORE!

Mathematics
1 answer:
dsp733 years ago
3 0

Given points,

(x1,y1)=(2,9)

(x2,y2)=(10,6)

now the distance between two points is,

d = \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2} }  \\  =  \sqrt{  {(10 - 2)}^{2} +  {(6 - 9)}^{2}  }  \\  =  \sqrt{ {8}^{2} +  {( - 3)}^{2}}  \\  =  \sqrt{64  + 9}  \\  =  \sqrt{73 \:}  \: units

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What are the coordinates of one of the vertices of a rectangle when two sides are given by the lines x - 3y = -8 and 3x + y = 6?
Aleonysh [2.5K]

Answer:

(1, 3)

Step-by-step explanation:

x - 3y = -8

3x + y = 6

Isolate a variable in one of the equations:

y = 6 - 3x

Substitute the value of y into the other equation:

x - 3(6 - 3x) = -8

Use distributive property:

x - 18 + 9x = -8

Combine like terms:

10x - 18 = -8

Isolate the variable:

10x = 10

x = 1

Substitute the value of x into any equation:

3(1) + y = 6

3 + y = 6

Isolate the variable:

y = 3

5 0
3 years ago
University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7
liq [111]

<u>Answer:</u>

355 senior citizen tickets were sold.

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

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

a +s=465 --- (1)

23a+13s=7145 --- (2)

From equation 1, a=465-s.

Substitute a in equation 2 to get:

23 (465-s) + 13s = 7145

10695 - 23s +13s =7145

-10s = -3550

s = 355

Therefore, there were 355 senior citizen tickets sold.

8 0
3 years ago
-9 is greater than<br> a. -10<br> b. -7 <br> c. -6 <br> d. -9<br> e. 0
Alex_Xolod [135]

Answer:

-10

Step-by-step explanation:

On the number line -9 appear before -10. Thw futher the number, the smaller it gets

4 0
3 years ago
3x+2y-z=8<br> -3x+4y+5z=-14<br> X-3y+4z=-14
Luda [366]

Answer:

B? I think

Step-by-step explanation:

sorry I really want to help but I dont get what the question is asking

4 0
4 years ago
A basketball player has attempted 24 shots and made 13. Find the experimental probability that the player will make the next sho
disa [49]

P(will make next shot) = 13/24.  This is an experimental probability, based upon observation, not theory.


7 0
3 years ago
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