Answer:
p = 
Step-by-step explanation:
Given that p varies inversely with q then the equation relating them is
p = 
← k is the constant of variation
To find k use the condition p = 2 when q = 1, thus
k = pq = 2 × 1 = 2
p = ← equation of variation
<h2>
Answer: 
</h2>
Step-by-step explanation:
- Cross-multiply.
- Divide both sides by 9.
The answer is 36
Multiply each side by 9
9 times for and 9 times n/9
The n/9 will cancel out so you are left with n= 9 times 4
This comes to 36
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
