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
__
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:
1) {0,1,4}
Step-by-step explanation:
(x,y)
domain is x
range is y
so in this case the domain is 0,1,4
By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.
<h3>How many kilograms of grapes are in the basket now?</h3>
Let's define the variables:
- x = kg of grapes on the box originally.
- y = kg of grapes on the basket originally.
We know that:
x = 2y
When we add 2kg to the basket, it has 0.5k more than the box, then:
y + 2 = x + 0.5
Then we have a system of equations:
x = 2y
y + 2 = x + 0.5
We want to solve this for y, then we can replace the first equation into the second one:
y + 2 = (x = 2y) + 0.5
y + 2 = 2y + 0.5
2 - 0.5 = 2y - y
1.5 = y
This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:
1.5kg + 2kg = 3.5kg
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
