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

extra: This is the first time I’ve seen this type of question without a diagram. Pls help!

Answers

Answer 1

Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).

Step-by-step explanation: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

Answer 2

Answer:

The coordinates are A. (-3.8, 5.2) and B. (7, -2).

Step-by-step explanation:

At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:

2x^2 + 3y^2 = 110

2x + 3y = 8

From the above equation

x = (8 - 3y)/2

So substituting for x in the first equation:

2 [(8-3y)/2]^2 + 3y^2 = 110

(8-3y)^2 / 2 + 3y^2 = 110

Multiply through by 2:

(8 - 3y)^2 + 6y^2 = 220

64 + 9y^2 - 48y + 6y^2 - 220 = 0

15y^2 - 48y - 156 = 0

3(5y^2 - 16y - 52) = 0

(5y - 26)(y + 2) = 0

y = 26/5, 2

y = 5.2,  -2.

So substituting in 2x + 3y = 8

When y = -2:

2x - 6 = 8

2x = 14

x = 7.

When y = 5.2

2x + 3(5.2) = 8

2x = 8 - 15.6 = -7.6

x = -3.8.


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Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

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Answer:

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Step-by-step explanation:

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5. Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
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Step-by-step explanation:

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I want full answer

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Ans : 156 Hope you understand
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Bu sorunu nasil olur?
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Answer:

i can't see your handwriting

In mosquito, more itchy bites are dominate to less itchy bites. If a male mosquito with a heterogeneous, more itchy bite mates with a less itchy, homologous female, what will the offspring likely be like?

4 Points Total:

Key (assign letters and traits) 1

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Answer:

a rash

Step-by-step explanation:

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Answers

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Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4


To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters
Conversion a mixed number 2 2/
5
to a improper fraction: 2 2/5 = 2 2/
5
= 2 · 5 + 2/
5
= 10 + 2/
5
= 12/
5


To find a new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
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4
* 12/
5
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7x - 2 = 5x + 14

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x = 16/2

x = 8

______

Hope it helps ⚜

Answer:

x = -8

Step-by-step explanation:

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Hello there! :)

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We are also given a point that the line passes through.

That's enough information to find the equation of the line.

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~A lonely teen who helps others with a smile

-Grace

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Answers

Answer:

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=15km

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Step-by-step explanation:

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The shape of the cross-section resulting from the cut is Rhombus.

Given that,

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Answer:

1. they both are the same length and diameter, the difference is thw diameter is a different direction.

2. 4 cm

3. EB and 8 cm

Step-by-step explanation:

Diameter is the length of the circle aross, hope this helps!

In the rectangle below,

Answers

Answer:

EI = FI and EG is twice the length of EI. Try setting up algebraic equations 3x + 8 = 6x -4 to find the value of x. Then substitute it back into the equation to find the length.

Step-by-step explanation:

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Answers

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

We can conclude that the statement:

There are values of x for which f(x) = g(x)" is true.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

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The inputs of the function are 1 and 2.

We have,

To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,

We can substitute the expressions for f(x) and g(x) into the equation and simplify:

f(x) = g(x)

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x² - 2x - 3 = 0

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Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?

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Off topic, I like your username :] good luck with whomever answers though <33

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