Answer:
17 units
Step-by-step explanation:
Use distance formula,
, to find the distance between (-9, 5) and (8, 5):
Let,


Plug in the values into the distance formula:





<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
The 3 consecutive integers are
n
n + 1
n + 2
Then
n2 + (n + 1)2 + (n + 2)2 = 194
n2 + (n2 + 2n + 1) + (n2 + 4n + 4) = 194
3n2 + 6n + 5 = 194
3n2 + 6n - 189 = 0
n2 + 2n - 63 = 0
(n - 7)(n + 9) = 0
n = 7 or -9
If n = 7, the 3 integers are 7, 8, and 9
If n = -9, the 3 integers are -9, -8, and -7
Mark brainliest please
Hope this helps you
It would be 11 + 12 = 23 atomic mass units.
(electrons have about a mass of 5.489×10−4<span> atomic mass units, so their mass would be negligible in this calculation).
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