All categories

3 years ago

I don’t understand how to factor trinomials

Mathematics

2 answers:

noname [10]3 years ago

5 0

3. (X-8)(x+3)
6. (X-4)(x+2)
I don't know if the symbol are correct but I know that the numbers are. I hope this can help you

gayaneshka [121]3 years ago

3 0

When the X term is one, and doesn't have a leading coefficient, then you can factor it using the box and diamond method. look up videos on Khan Academy of the box and diamond method for solving trinomials. For number 9, you have a difference of squares. That means you can factor to just 2 terms. (x+4)(x-4) this works because 16 has an easy square root, and the sign in between is a negative(difference)

You might be interested in

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Circle O is shown below. The diagram is not drawn to scale. What is the measure of angle BAC?

mafiozo [28]

56.5, since its (180 - 67)/2

5 0

3 years ago

Read 2 more answers

A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top

GuDViN [60]

Ответ 163.54
Ниже расписано описание

4 0

2 years ago

A car has an initial value of $20,000. The value then "depreciates" or decreases by 10% of its initial value each year. Which eq

Elden [556K]

Answer:

D) v = -2,000y + 20,000.

Step-by-step explanation:

The question gives a linear relationship between two quantities. This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant. Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000. Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000. So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.

8 0

3 years ago

What is the approximate radius of a sphere with a volume of 1436m^3

Vedmedyk [2.9K]

Answer: r≈7m

Step-by-step explanation:

5 0

2 years ago