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2 years ago

What is the generalized vertex form of a quadratic equation

Mathematics

1 answer:

Oksanka [162]2 years ago

3 0

Answer:

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.

Step-by-step explanation:

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How many roots does this has?<br>x^2+(2√5x)+2x=-10<br>find Discriminant

Alexxandr [17]

Given:

The equation is

$x^2+(2\sqrt{5})+2x=-10$

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

$x^2+(2\sqrt{5})x+2x=-10$

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

$x^2+(2\sqrt{5}+2)x+10=0$

Here, $a=1, b=(2\sqrt{5}+2), c=10$ .

Discriminant of the given equation is

$D=b^2-4ac$

$D=(2\sqrt{5}+2)^2-4(1)(10)$

$D=20+8\sqrt{5}+4-40$

$D=8\sqrt{5}-16$

$D\approx 1.89>0$

Since discriminant is $8\sqrt{5}-16\approx 1.89$ , which is greater than 0, therefore, the given equation has two distinct real roots.

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2 years ago

What is the circumstances of a circle that has a diameter of 15

zheka24 [161]

C=(3.14)(15)
you multiply and get 47.1

7 0

2 years ago

PLEASE HELP I BEG YOU I REALLY NEED HELP FEW QUESTIONS :(

pantera1 [17]

Number 2 for question 1 and number 4 for question 2

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3 years ago

SHOW WORK!!

denpristay [2]

If he puts 300 sunfish into the pond, he will put 225 perch in the pond.

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

A ratio is the comparison of one thing to another. Generally, ratios compares value.

They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows

4:3

If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:

4 / 3 = 300 / x

cross multiply

4x = 900

x = 900 / 4

x = 225

learn more on ratios here: brainly.com/question/89456?referrer=searchResults

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2 years ago

Someone check my answers please

Anna007 [38]

Answer:

its right

Step-by-step explanation:

4 0

2 years ago