4) 4x² + 7x + 1 = -2 find discriminate

1

Step-by-step explanation:

Given a quadratic equation in standard form : ax² + bx + c = 0 (a ≠ 0)

Then the discriminant is calculated as

Δ = b² - 4ac

Given

4x² + 7x + 1 = - 2 ( add 2 to both sides )

4x² + 7x + 3 = 0 ← in standard form

with a = 4, b = 7 and c = 3, thus

b² - 4ac

= 7² - (4 × 4 × 3) = 49 - 48 = 1

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.