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Harlamova29_29 [7]
3 years ago
11

find the distance between the pair of points. ( square root 5, square root 2) and -3 square root 5, 5 square root 2)

Mathematics
1 answer:
Nata [24]3 years ago
7 0
Use the distance formula 

d  = sqrt ((y2-y1)^2  + (x2-x1)^2))

    =   sqrt ( (5 sqrt2 - sqrt2)^2  +  ( -3sqrt5 - sqrt5)^2)
  
   =     sqrt [( 4sqrt2)^2 + (4sqrt5)^2]

   = sqrt   (32 +  16*5)  =  sqrt 112  = sqrt16 * sqrt7  = 4 sqrt7

The answer is  4 sqrt7
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Read 2 more answers
Slope : - 9/7 point : ( -7,4 )
dolphi86 [110]
To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4  = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

-----------------------------------------------------------
Answer : 7y + 9x + 5 = 0
-----------------------------------------------------------
7 0
3 years ago
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