Answer:
The function is linear; therefore, the slope of the line joining any two points is the same. We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The sum of -4 and 3 complain more because its negative
According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
<h3>What is the equation of the circle?</h3>
The equation of a circle of center
and radius r is given by:

In this problem, we have that the center is at point (0,2), hence:

It goes through point (3,3), hence:


Hence, the equation is:

<h3>What is the equation of the tangent line at point W?</h3>
It is given by:

Applying implicit differentiation, we have that:


Point W(3,3), hence:


Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
More can be learned about the equation of a tangent line at brainly.com/question/8174665
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:2516 pounds
Step-by-step explanation:
find the difference in gallons and the difference in the weights
46 - 14 = 32 gallons
2399 - 2191 = 208 pounds
so 32 gallons of gas weighs 208 pounds
find weight per pound: 208 pounds / 32 gallons = 6.5 pounds per gallon
round to 6.5 pounds per gallon
64 gallons - 46 gallons = 18 gallons
18 gallons x 6.5 pounds per gallon = 117 pounds
2399 + 117 = 2516 weight of plane with 64 gallons