Step-by-step explanation:
For two points (x₁, y₁) and (x₂, y₂), the distance between them is:
d² = (x₁ − x₂)² + (y₁ − y₂)²
The order of points 1 and 2 don't matter. You can switch it:
d² = (x₂ − x₁)² + (y₂ − y₁)²
This is basically the Pythagorean theorem for a coordinate system.
Let's do an example. If you have points (1, 2) and (4, 6), then the distance between them is:
d² = (4 − 1)² + (6 − 2)²
d² = 3² + 4²
d² = 9 + 16
d² = 25
d = 5
If you have points with negative coordinates, remember that subtracting a negative is the same as adding a positive.
For example, the distance between (-1, -2) and (4, 10) is:
d² = (4 − (-1))² + (10 − (-2))²
d² = (4 + 1)² + (10 + 2)²
d² = 5² + 12²
d² = 25 + 144
d² = 169
d = 13
Answer:
<h3>
StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2</h3>
Step-by-step explanation:
Given the surdic equation as shown
To find the quotient, we will rationalize by multipying both numerator and denominator of the function by the conjugate of the denominator.
Given the denominator , its conjugate will be
Multiplying through by , we have;
The final expression gives the requires answer
Answer:
Step-by-step explanation:
hope it helps
explanation in the pics above
Answer:
Greatness
Magnitude means very heavy or meaningful, like depth, but Greatness is a better answer choice.