Using the relation between velocity, distance and time, it is found that:
- The rate of the plane is of 840 km/h.
- The rate of the wind is of 210 km/h.
<h3>What is the relation between velocity, distance and time?</h3>
Velocity is <u>distance divided by time</u>, that is:

Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:



Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:



Hence, solving for the wind's speed:




For the plane, we have that:
v = 1050 - 210 = 840.
More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569
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The standard equation of a circle with centre (xc,yc) and radius R is given by

Substituting
centre (xc,yc) = (4,-3)
R=2.5
The equation is therefore



or
(x-4)^2+(y+3)^2=6.25
The rate of change is 5 cards / hour
Multiply 5 and 6
She makes 30 cards in 6 hours
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Given

Distribute the 3 parenthesis on the numerator
= 
Collect like terms on the numerator
= 
Divide each of the terms on the numerator by 4
=
+
+ 
= - 6a + 9b - 12c ← factor out - 3 from each term
= - 3(2a - 3b + 4c)
Compare with
X(2a + Bb + Cc) to obtain
X = - 3, B = - 3, C = 4