Answer:
C. y = -6
Step-by-step explanation:
3x – 6y = 9
–3x + 3y = 9
-3y = 18
y = -6
9514 1404 393
Answer:
(a) x^2/16 +y^2/9 = 1
Step-by-step explanation:
The form for the equation of an ellipse centered at the origin is ...
(x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1
The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...
(x/4)^2 +(y/3)^2 = 1
x^2/16 +y^2/9 = 1
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In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.
Answer:
4 hours
Step-by-step explanation:
Please see attached picture for full solution.
Negative numbers would not make sense for the <span>values of the variables especially when the equation represents a real world problem which mostly is the case. Having a negative value for a real world problem is not favorable because there is no such thing as negative time or negative height.</span>
Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.