Answer:
Step-by-step explanation:
Starting with ...
I = V/R
Multiply by R to find V:
IR = V
The equation is ...
V = I·R
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Using the given values for I and R, we have ...
V = (2)(6)
V = 12 . . . required voltage (volts)
A compound fraction is simplified by multiplying the numerator by the reciprocal of the denominator fraction. This process is repeated as often as necessary at every level of the fraction.
Examples:
(a/b)/(c/d) = (ad)/(bc)
a/(b/c) = (ac)/b
(a/b)/c = a/(bc)
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When the fraction has numerators or denominators that are fractions, you need to be very clear about what is being divided by what. If it isn't clear by the typesetting (length or boldness of fraction bars), then parentheses are required around numerators and around denominators.
Answer:
see explanation
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y = 
← k is the constant of proportionality
To find k use the condition that y = 7, x = 9
k = yx = 7 × 9 = 63, thus
y = 
← equation of proportion
When x = 21, then
y = 
= 3
Answer:
y = x/4
Step-by-step explanation:
First, replace f(x) with y, so it's easier to find the inverse:
y = 4x
To find the inverse of this function, you would replace all the y's with x's and all the x's with y's, and then solve for y. That would be:
x = 4y
y = x/4
Therefore, the inverse function of y = 4x is y = x/4.
First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
