Respuesta :
Same as last time:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--1)^2+(-2-4)^2
d^2=7^2+(-6)^2
d^2=49+36
d^2=85
d=√85 (85=5*7 and both 5 and 7 are prime so √85 cannot be simplified any further)
The exact distance is √85 units.
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--1)^2+(-2-4)^2
d^2=7^2+(-6)^2
d^2=49+36
d^2=85
d=√85 (85=5*7 and both 5 and 7 are prime so √85 cannot be simplified any further)
The exact distance is √85 units.
Answer:
The distance is √ 85 units
Step-by-step explanation:
To find the exact value, all we will simply do is to use the distance formula to solve;
D =√ (x₂ - x₁)² + (y₂ - y₁)²
From the question given;
The points given are (−1, 4) and (6, −2)
so; x₁ = -1 y₁ = 4 x₂ = 6 y₂ = -2
We can now proceed to substitute the formula into the equation
D = √ (x₂ - x₁)² + (y₂ - y₁)²
=√ (6 - -1)² + (-2 - 4)²
=√ (6+ 1)² + (-2 - 4)²
=√ (7)² + (-6)²
=√ 49 + 36
=√ 85
The distance is √ 85 units