Preheat your oven to 400°F (200°C) and grease an 8-inch square baking pan or line it with parchment paper.
In a large mixing bowl, combine the cornmeal, flour, sugar, baking powder, and salt. Stir until well blended.
In another bowl, whisk together the milk, melted butter, and eggs until fully combined.
Pour the wet ingredients into the dry ingredients. Stir just until everything is moistened; avoid overmixing to keep the cornbread tender.
Transfer the batter to the prepared baking pan, smoothing the top with a spatula.
Bake for 20 to 25 minutes, or until the top is golden brown and a toothpick inserted in the center comes out clean.
Remove from the oven and allow it to cool for a few minutes before cutting into squares and serving.