Question

Ayudenme lo necesito urgente :(​

Answer 1

Explicación paso a paso:

3.

a) x² + 10x + 25 = (x+5)(x+5) = (x+5)²

b) x² - 18x + 81 = (x-9)(x-9) = (x-9)²

c) x² + 2/3 x + 1/9 = (x+1/3)(x+1/3) = (x+1/3)²

4.

a) d(A,B): 14,4

$\sqrt{(7 - ( - 5)) {}^{2} + ( - 2 - 6) {}^{2} } \\ \sqrt{(12) {}^{2} + ( - 8) {}^{2} } \\ \sqrt{144 + 64} \\ \sqrt{208} = 4 \sqrt{13} = 14.4$

b) M: (1,2)

$( \frac{ - 5 + 7}{2} , \frac{6 - 2}{2} ) \\ (1,2)$

5.

a)

$x {}^{2} + y {}^{2} = 20 \\ y {}^{2} = 20 - x {}^{2} \\ y = \sqrt{20 - x {}^{2} }$

b)

$(x + 5) {}^{2} + (y - 2) {}^{2} = 13 \\ x {}^{2} + 2(x)(5) + 5 {}^{2} + x {}^{2} - 2(y)(2) + 2 {}^{2} = 13 \\ x {}^{2} + 10x + 25 + y{}^{2} - 4y + 4 = 13 \\ x {}^{2} + y {}^{2} + 10x - 4y = - 16 \\ y {}^{2} - 4y = - x {}^{2} - 10x - 16 \\ y(y - 4) = - (x + 2)(x + 8) \\ y = - \frac{(x + 2)(x + 8)}{y - 4}$

6.

a) P = 2πr

P = 2(π)(7) = 14π

b) A = πr²

A = π(7)² = 49π