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Kaylis [27]
3 years ago
15

The line 2x + 3y = 8 meets the curve 2x² + 3y² = 110 at the points of A and B. Find the coordinates of A and B.

Mathematics
2 answers:
iren [92.7K]3 years ago
7 0
From (1), we get x = (8 - 3y) / 2 ––(3)

Substitute (3) into (2),

2 [(8 - 3y) / 2]² + 3y² = 110

(8 - 3y)² + 3y² = 220

15y² - 48y - 156 = 0

Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8

OR y = -2, then x = [8 - 3×(-2)] / 2 = 7

The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Anton [14]3 years ago
5 0
Good day //////////////

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A bus travels 12 miles in 20 minutes at this rate how many miles does the bus travel in 60 minutes
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The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, h
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If I did my math correctly, They washed 15 cars on Sunday.

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6 0
3 years ago
What should be your first step when subtracting integers?
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What does the variable r represent in the equation 10r+4=8
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The value of variable r in the equation 10r+4=8 is \mathbf{r=0.4}

Step-by-step explanation:

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So, The value of variable r in the equation 10r+4=8 is \mathbf{r=0.4}

3 0
3 years ago
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