Answer: The required point is A(6, 3) in the attached graph.
Step-by-step explanation: We are to find the point on the given graph that shows the price of 6 ounces of cheese.
The formula to be used is given by
Given that,
when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.
when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.
when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.
Therefore, these points satisfy the given relation (i).
Hence, if x = 6, then from equation (i), we have
Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.
4 weeks at 7 days per week = (4 x 7) = 28 days
28/-14 = - 2....so the average change is -2 per day
This work is faster rate than grading 36 assignments in 30 minutes because :
25 ÷ 20 = 1.25
1.25 hw assignment per minute
36 ÷ 30 = 1.2
1.2 hw assignments per minute
the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
Answer:
The equation of the circle is
(x + 2)² + (y + 2)² = 9
Centered at (-2, -2), with radius of 3 units.
Step-by-step explanation:
The general equation of a circle is given as
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).
The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.
Using these in the general equation, we have
[x - (-2)]² + [y - (-2)]² = 3²
(x + 2)² + (y + 2)² = 9
And this is the equation.
