Answer:
d=hf+5
Step-by-step explanation:
Step 1: Factor out variable d.
d(f+5)=h
Step 2: Divide both sides by f+5.
d(f+5)f+5=hf+5
d=hf+5
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8 - 3/4 = 7 1/4 hours
u(x) = -2x², v(x)= 1/x
(u o v)(x) = u(v(x)) = -2(1/x)²= -2/x²
We can see that domain for x is going to bee all real numbers except 0. From the equation above we can see that graph of the function (u o v)(x) = -2/x² has horizontal asymptote y=0, because degree of numerator is less than degree of denominator ( (u o v)(x) = -2x⁰/x² ).
x² is always going to be positive, so range is going to be all negative numbers.
y<0, or y∈(0,-∞)
Answer:
(1)


(2)


Step-by-step explanation:
Solving (1):
Considering

We have:

This gives:

Solve for a


So:


To solve for b, we make use of Pythagoras theorem

This gives



Collect like terms

Take LCM and solve


Take square roots

Solving (2):
Considering

We have:

This gives:

Solve for a


So:



To solve for b, we make use of Pythagoras theorem

This gives


Collect like terms


Take square roots
