MATHEMATICS HIGH SCHOOL

What is the factored form of the polynomial?x2 + 9x +20

(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

Answer 1

Answer:

The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

Given :

$x^2 + 9x + 20$

To factor this form, we first look for the following operations:

_ + _ = 9

_ × _ = 20

To fill in the blanks, the matching numbers are :

4 + 5 = 9

4 × 5 = 20

Next, the above equation can be factorized into:

$x^2 + 9x + 20$

$x^2 + 4x + 5x + 20$

$(x^2 + 4x) + (5x + 20)$

$x(x + 4) + 5(x + 4)$

$\large {\boxed {(x + 4)(x + 5)} }$

Learn more

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

Answer 2

Answer:

Answer:

(C)(x + 4)(x + 5)

Step-by-step explanation:

The given equation in the form of polynomial is:

$x^2+9x+20$

Factorizing the above given equation, we get

$x^2+5x+4x+20$

$x(x+5)+4(x+5)$

Taking x+5 common, we have

$(x+4)(x+5)$

which is the required factorised form.

Therefore the factors of the given polynomial are $(x+4)(x+5)$ .

Thus, Option (C) is correct.

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Can someone explain major and minor arcs in relation to circles.

Answers

A Major Arc within a circle is something that that is more than half of the circle, and therefore, larger than the minor arc. The way in which this could be used in an example is; Tony has a pizza with 8 slices, 6 of these slices are pepperoni and 2 are chilli beef. In this case, the pepperoni slices are the major arc and the chilli beef slices are the minor arc.
The Major Arc will always be bigger than the minor arc- whether this is 181 degrees to 179, or whether this is 350 degrees to 10 degrees.
The Minor Arc is always the smallest arc, and this can be explained by; Benedict has an apple pie that has 10 slices, between him and his friends, they have eaten four slices. In this case, they have eaten the 'minor arc'
There is a picture attached, and this is the examples of a major and a minor arc.
Hope this has been able to help you :)

What’s the cosine of U?

Answers

Step-by-step explanation:

The cosine of U is equal to the adjacent side divided by the hypotenuse.

cos(U) = 28/53

You can simplify it from there.

A car depreciated $1500 each year it was owned and driven. What type of depreciation is this?

Answers

it is yearly depreciation

Write the equation of the line that is parallel to the line whose equation is y = –4 and that passes through the point (1, 5).A. y=-5
B. y=-4
C. y=1
D. y=5

Answers

The equation of the line, y = -4, has a slope of 0. For lines to be parallel their slopes should be equal. Given the slope and a point, the equation of the line is generally expressed as,
y - y1 = m(x - x1)
Substituting gives the answer of,
y - 5 = 0 ; y = 5
The answer is letter D.

A disadvantage to joining a family business is that _____.a.

more can be achieved by working in a team

b.

family relationships may be negatively affected

c.

one individual must take on all of the financing responsibilities

d.

there is little trust and loyalty

Answers

Answer:

b. family relationships may be negatively affected

Step-by-step explanation:

Let's asses each option individually,

a) As there are more people in a family than 1 person running the business, work can be divided and completed simultaneously. So more can be achieved.

b)Running a business comes with lot of responsibilities and stress. Therefore family relationships can definitely be affected negatively. For now this seems like the correct answer, but lets look at other option to see whether this is the best answer.

c)One individual does not have to take on all the responsibilities, responsibility is divided between family members.

d)In a family you can trust each other than trusting people outside the family, and same with the loyalty.

Therefore, correct answer is b.

b. family relationships may be negatively affected because if you make a bad decision, your family or parents may be disappointed at you. Hope this helped!

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