Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the point $(-8,3).$ Enter the ordered pair $(P, Q).$

(-3, -129)

Step-by-step explanation:

Given

Two lines:

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e.

Slope of a line of the form is given as:

So, slopes of given lines are:

Using the condition:

Putting the value of P in equation (1):

So, answer is (-3, -129)

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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step-by-step explanation: