Zara and Francesco each own a rectangular picnic mat. The perimeters of their mats are shown below. They push the two mats together to make the larger mat shown below, which has a perimeter of 16.97 m . Find the length of the side labelled \( y \). Give your answer in metres \( (\mathrm{m}) \).

solve into partial fractions: \[ f(x)=\frac{3 x-5}{(x-1)^{2}\left(x^{2}+1\right)} \]

De oppervlakte van een vierkant is gelijk aan \( 36 \mathrm{~cm}^{2} \). Bereken de zijde en de omtrek van dit vierkat

Use the remainder theorem to find the remainder when \( f(x) \) is divided by \( x-1 \). Then use the factor theorem to determine whether \( x-1 \) is a factor of \( f(x) \). \( f(x)=3 x^{3}-2 x^{2}-4 x+12 \) The remainder is Is \( x-1 \) a factor of \( f(x)=3 x^{3}-2 x^{2}-4 x+12 \) ? Yes No

culate \( (h k)^{\prime}(4)-\left(\frac{k}{h}\right)^{\prime}(4) \) if \( h(4)=2, h^{\prime}(4)=-2, k(4)=5 \), and \( k^{\prime}(4)=-1 \)

Find the least common multiple of 7 and 9.