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i will help
^2-4y^2=64 (1) x^2+y^2=36 (2) (1)-(2) x^2-4y^2-( x^2+y^2)=36 x^2-x^2-4y^2-y^2=36 -5y^2=36 That can't be because of a^2 cant be - value (a is any number + or -) so y=0 x^2=36 so x can get +6 or -6
this help
wen im done click Best Response
its A
wait wats your choices
4
thats A
4
its 4
yeah first click Best Response
ok wats the question
Since each is represented by a quadratic equation in x and y the maximum number of intersecting points is 4. Parabola: y = ax^2 + bx + c Circle: ax^2 + by^2 + c = 0 [ possibly with plain x and y terms added in ] Hyperbola: xy = c [ and variations ]
Both x^2 and y^2 terms are same signs (positive) and the coefficients are different in value (+2 and +4). It is an ellipse.
i dont know this question omg srry
x^2, y^2 coefficients: same sign, same value: circle : same sign, different values: ellipse : opposite sign, hyperbola only one term is square but not both (that is y^2 and x or x^2 and y) means parabola.
x^2 + y^2 = 25 (1) x - y^2 = -5 (2) add them up to eliminate y^2 x^2 + x = 20 x^2 + x - 20 = 0 x^2 + 5x - 4x - 20 = 0 x(x+5) - 4(x + 5) = 0 (x-4)(x+5) = 0 x = 4 or -5 x = +4 in the first and fourth quadrants x = -5 in the second and third quadrant. They want quadrant IV. so x = +4 Put x = +4 in (2) 4 - y^2 = -5 4 + 5 = y^2 9 = y^2 y = -3 or + 3 y = -3 is in quadrant IV So the solution is (4, -3) which is in quadrant IV.
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