The area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2)

1 answer:

6 0

It is to be noted that the Area of the Triangle formed by the points of intersection of the Parabola derived from the equation y = a(x-3) (x+2) with the derived coordinates is 12.

<h3>What is a Parabola?</h3>

In mathematics, a parabola is a symmetrical open plane curve generated when a cone meets a plane parallel to its side.

Under the influence of gravity, a projectile's journey follows a curve of this shape.

Solution:

Step I - recall that y=a(x-3)(x+2)

This means that the base of the triangle is: 3-(-2) = 5

It's Height is = 6a. We arrive at this value when we make x = 0 and utilize the absolute value of the derivation.

Given that the area of a triangle is:

y=a(x-3)(x+2), we therefore have the following equation:

12 = 1/2 * 5 * 6 * A

If A = 4/5, then the solution to our equation comes to 12.

Learn more about Parabola at:
brainly.com/question/64712

#SPJ1

You might be interested in

Write about people of AAD, SAMUD and PHAROH

Luden [163]

The people of Aad were an ancient tribe of Saudi Arabia. Their city was known as Iram. The tribe was popular for its cleverness and physical strength and therefore, they are also called giants. They were so strong and intelligent that they could carve mountains and use it as their homes. , the Thamūd were the successors of a previous nation called the ʿĀd, who had also been destroyed for their sins. They lived in houses carved into the surface of the earth. God chose the prophet Ṣāliḥ to warn the polytheistic Thamūd that they should worship the One God.
Here thx have a nice day please mark brainlist

3 0

3 years ago

This level of environmental organization is the part of earth where life exists and the same species that live together and popu

Alika [10]

Answer:

A habitat

Explanation:

A habitat is a natural environment which shelters living organisms of the same species. In a species habitat, species can be sheltered, fed and can also mate to reproduce offsprings. A habitat has both physical and biological characteristics. Representing the physical factors are soil, moisture, temperature range and intensity of light. While those representing the biological factors are the presence of prey and predators as well as other things. Most organisms or species adapt to strive which others might try to live up to their inbuilt habitat needs. A habitat does not necessarily refer to geographical area but can also be within the soil or inside of a branch or stem or other things which a living organism can live in. Homeostasis is essential in living organisms in a habitat because it helps to control and maintain them in optimum conditions which might have been necessary through adversary or habitat change.

5 0

3 years ago

patient who is admitted to the hospital after a stroke suffers from the following symptoms: episodes of intense, unexplainable f

Alja [10]

The fear is caused by the restriction of blood flow to the reticular system of the brainstem. This affects the amygdala that is connected to the hypothalamus, which are part of the diencephalon. The difficulty in speaking is caused by damage to Borca's area in the frontal lobe. Blindes in the right visual field is caused by damage to the right occipital lobe.

6 0

3 years ago

If f(x)=2x+1 and g(x)=x^2+7, which of the following is equal to f(g(x))

topjm [15]

Answer: $2x^{2} +15$