If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
1 answer:
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = ( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = ← equation of variation
When x = 5 and z = - 5, then
y = =
= 36
You might be interested in
Same way can find BD length
Answer: .
Step-by-step explanation: We are given expression .
And expression is converted in
.
Now, we need to transform the expression into a single exponent expression using the properties of exponents.
We know, according to the properties of exponents
Applying same rule in given expression, we get
On simplifying exponents, we would get t in exponent.
= .