Question

Point A. (-5,6)is at a distance of :
a. 61 units from the origin b. 11 units from the origin c. root of 61 units from the origin D. Root of 11 units from the origin

Answer 1

Answer:

c) root of 61 from the origin

Explanation:

using distance formula

Answer 2

The correct answer is $\sqrt{61}$.

Given: Point (-5, 6) and origin.

To Find: Distance between them.

Solution:

The two points are (0, 0) and (-5, 6).

To calculate distance between two points we use distance formula.

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

= $\sqrt{(0-(-5))^{2} +(0-6)^{2} }$

= $\sqrt{5^{2} +6^{2} }$

= $\sqrt{61}$

Hence, the distance between both points is  $\sqrt{61}$.

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