The diagram shows a parallelogram \( A B C D \), in which the equation pf \( A B \) i \( y=3 x \). And the equation of \( A D \) is \( 4 y=x+11 \). The diagonals \( A C \) and \( B D \) meet at the point \( E\left(6 \frac{1}{2}, 8 \frac{1}{2}\right) \). Find by calculation, the coordinates of \( A, B, C \) and \( D \)

i) \( \left.{ }^{n} c_{4}(0.25)^{4}(0.75)^{n-4}=3\left({ }^{n} c_{3}(0.25)^{3}(0.75)^{15}\right)^{n-3}\right) \)

19. Dacă \( \log _{4} 10=m \) să se calculeze \( \log _{8} 250 \). 20. Să se exprime în funcție de \( a=\log _{2} 5 \) numărul: a) \( \log _{8} 80 \); \( \sqrt{2} \) 21. Să se arate că: \( \sqrt{6}+\lg \frac{1}{2}+\lg \frac{2}{3}+\ldots+\lg \frac{999}{1000}=-3 ; \quad \) b) \( \log _{5} \frac{2}{1}+\log _{5} \frac{3}{2}+\log _{5} \frac{4}{3}+ \).

ec. \( 4.6: 7,17,19,23 \) Find the general solution for each of the following nonhomogeneous differential equation \( (x+1) y^{\prime \prime}+x y^{\prime}-y=(x+1)^{2} \)

5.(20 poir

A. \( \frac{2}{3}+\frac{3}{5} \) B. \( \frac{3}{5}-\frac{3}{4} \) C. \( \frac{3}{4}+\frac{1}{2} \)