Which statement describes the graph of f(x) = 4x2 + 20x + 25?

Mathematics

2 answers:

nikdorinn [45]3 years ago

5 0

Answer:

2nd statement is true

Step-by-step explanation:

Please use " ^ " to denote exponentation: f(x) = 4x^2 + 20x + 25.

Take a look at the second statement. If you'll substitute -2.5 for x, to find f(-2.5), you'll find that the result is 0; Thus, this second statement is true.

Reil [10]3 years ago

3 0

Answer:

The graph touches the x-axis at (–2.5, 0).

Step-by-step explanation:

Given : f(x) = 4x² + 20x + 25.

To find : Which statement describes the graph .

Solution : We have given

f(x) = 4x² + 20x + 25.

On factoring

4x² + 10x + 10x+ 25 = 0

On taking common 2x from first two terms and 5 from last two terms.

2x ( 2x + 5 ) +5 (2x + 5 ) = 0

On grouping

(2x +5) (2x +5) = 0

For 2x +5 = 0

On subtracting 5 both side

2x = -5

On dividing by 2

x = $\frac{-5}{2}$ = - 2.5

x = - 2.5 .

Points (-2.5 , 0)

Therefore, The graph touches the x-axis at (–2.5, 0).

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Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss

julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$