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SOVA2 [1]
3 years ago
12

The line 2x + 5y = 1 meets the curve x² + 5xy - 4y² + 10 = 0 at the points A and B

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Answer:

A(3,-1) and B( -2,1)

Step-by-step explanation:

2x+5y=1. , or. y=(1–2x)/5………….(1)

x^2+5xy-4y^2+10=0…………………..(2)

Putting y=(1–2x)/5 from eqn. (1)

x^2+5x.(1–2x)/5–4/25.(1–2x)^2 +10=0

or. 25x^2+25x.(1–2x)-4.(1+4x^2–4x)+250 = 0

or. 25x^2+25x-50x^2–4–16x^2+16x+250=0

or. 41x^2–41x-246=0

or x^2– x - 6=0

or. (x-3).(x+2)=0

=> x= 3 or -2

But y=(1–2x)/5

=> y= (1–6)/5 or. (1+4)/5

hence, y= -1. or. 1

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pantera1 [17]

Answer:

44

Step-by-step explanation:

-×-=+

11×4=44

so it's equal to =+44

3 0
3 years ago
Which quadrilateral’s diagonals do not create a 90° angle at its intersection?
Shtirlitz [24]
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timofeeve [1]
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8 0
2 years ago
Construye un rectángulo de 12 cm de altura y 5 cm de ancho (Píntalo). Luego a) Calcula el perímetro del rectángulo. B) Calcula e
lara [203]

Step-by-step explanation:

Build a rectangle 12 cm high and 5 cm wide (Paint it). Then a) Find the perimeter of the rectangle. B) Find the area of ​​the rectangle. Aiuda porfis.

Length of the rectangle is 12 cm

Breadth of the rectangle is 5 cm

Perimeter is the sum of all sides. For rectangle it is given by :

P = 2(l+b)

⇒ P=2(12+5)

P = 34 cm

Area of a rectangle is equal to the product of its length and breadth.

So,

A = lb

A = 12 cm × 5 cm

⇒A = 60 cm²

Hence, perimeter is 34 cm and area of rectangle is 60 cm².

8 0
3 years ago
F(x) = 2x^2+ 5x + 20<br><br> Find f(-9)
8_murik_8 [283]

Answer:

137

Step-by-step explanation:

2(-9)^2+5(-9)+20

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162-45+20

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137

8 0
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