Respuesta :

Answer:

Answer: ½

Step-by-step explanation:

[tex]{ \tt{ {d}^{2} - b }}[/tex]

  • d is ¼
  • b is -7/16

[tex] \dashrightarrow \: { \tt{ {( \frac{1}{4} )}^{2} - ( - \frac{7}{16}) }} \\ \\ { \tt{ = \frac{1}{16} + \frac{7}{16} }} \\ \\ = { \tt{ \frac{(1 + 7)}{16} }} \\ \\ = { \tt{ \frac{8}{16} }}[/tex]

» Reduce the denominator and numerator by dividing all by 8/8

[tex] ={ \tt{ \frac{8}{16} \div \frac{8}{8} }} \\ \\ = { \tt{ \frac{1}{2} }}[/tex]

Answer:

  1/2

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

  [tex]d^2-b=\left(\dfrac{1}{4}\right)^2-\left(-\dfrac{7}{16}\right)=\dfrac{1}{16}+\dfrac{7}{16}\\\\=\dfrac{1+7}{16}=\dfrac{8}{16}=\boxed{\dfrac{1}{2}}[/tex]