# Find the horizontal and vertical intercepts for r4 + s2 − r s = 16 , if the r-axis is the horizontal axis and the s-axis is the vertical axis.

1 answer

###### Question:

Find the horizontal and vertical intercepts for

r4 + s2 − r s = 16

, if the r-axis is the horizontal axis and the s-axis is the vertical axis.

r4 + s2 − r s = 16

, if the r-axis is the horizontal axis and the s-axis is the vertical axis.

## Answers

Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.According to the question;the r-axis is the horizontal axis.the s-axis is the vertical axis.Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).i.e s = 0the equation r⁴ + s² − r s = 16, then becomes;r⁴ = 16Therefore, r = ±2.Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).i.e r = 0.the equation r⁴ + s² − r s = 16, then becomes;s² = 16.Therefore, s = ±4.Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.Read more:https://brainly.com/question/18466425

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