Question

what is the distance from the origin to the point (-12, 35)?

Answer 1

Answer:

37

Step-by-step explanation:

d= √[(x1-x2)²+(y1-y2)²]

d= √[{0-(-12)}² + {0-35}²]

d= √(144+ 1225)

d= √(1369)

d= 37

Answer 2

The distance from the origin to the point (- 12, 35) = 37 units

Step-by-step explanation:

The origin be (0, 0)

Here, $x_{1}$ = 0, $y_{1}$ = 0 and $x_{2}$ = - 12, $y_{2}$ = 35

To find, the distance from the origin to the point (- 12, 35) = ?

We know that,

The distance between the two points

= $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

∴ The distance from the origin to the point (- 12, 35)

= $\sqrt{(-12-0)^2+(35-0)^2}$

= $\sqrt{(-12)^2+(35)^2}$ units

= $\sqrt{144+1225}$ units

= $\sqrt{1369}$ units

= $\sqrt{37\times 37}$ units

= 37 units

∴  The distance from the origin to the point (- 12, 35) = 37 units