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3 years ago

Factor x^2-2x-4 PLEASE ANSWER QUICKLY!!! I WILL GIVE POINTS!!! DBA IS TODAY!!!!

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

To factor x²-2x-4, you are looking to answer three questions.

1) What pair of numbers multiplies to 4?

2) What pair of numbers multiplies to 1?

3) Do these pairs when multiplied together, add/subtract to the middle term?

To answer (1), our pairs are 2 and 2, 4 and 1. Since there's a negative with 4 at the end (from question one), the signs will be opposite.

To answer (2), only pair multiplies to 1 - 1 and 1. Let's try both pairs from 1.

(x-4)(x+1) The middle term here is -3x. Nope.

(x-1)(x+4). The middle term here is 3x. Nope.

(x-2)(x+2) The middle term is 0x (or no middle term). Nope.

So x²-2x-4 does not factor.

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Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?

zhuklara [117]

Answer:

Step-by-step explanation:

9kg

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3 years ago

Prove the trigonometric identity! Please help!! 50 Points!

Rudiy27

Answer:

Step-by-step explanation:

For simplicity I will substitue $x$ for β.

$1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1$

In the first step I used the identity

$sin(2x)=2sin(x)cos(x)$

And I factored out $(cosx-sinx)^2$

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

$cos^2(x)+sin^2(x)=1$

That's it!

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2 years ago

Find the perimeter of a triangle with vertices A(3, 1), B(2, -1), and C(-3, 2). Leave

natulia [17]

The perimeter of triangle is: 14.15 units

Step-by-step explanation:

First of all we have to find the lengths of sides of triangles

Given

A(3, 1), B(2, -1), and C(-3, 2)

The distance formula will be used to find the lengths of sides

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\$

So,

$AB = \sqrt{(2-3)^2+(-1-1)^2}\\=\sqrt{(-1)^2+(2)^2}\\=\sqrt{1+4}\\=\sqrt{5}\\=2.24\ unitsBC = \sqrt{(-3-2)^2+(2+1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\= 5.83\ units\\AC = \sqrt{(-3-3)^2+(2-1)^2}\\=\sqrt{(-6)^2+(1)^2}\\=\sqrt{36+1}\\=\sqrt{37}\\=6.08\ units$

The perimeter of triangle will be:

$P = AB+BC+AC\\= 2.24+5.83+6.08\\=14.15\ units$

Hence,

The perimeter of triangle is: 14.15 units

Keywords: Triangle Perimeter

Learn more about perimeter at:

#LearnwithBrainly

7 0

3 years ago

Segment addition postulate What’s the answer?

Free_Kalibri [48]

$\bf Step-by-step~explanation:$

Keep in mind: The entire line segment (VX) is equal to 14.

$\bf Step~1:$

Let's see how the line segment looks like first.

Line segment VX is 14 units long.

______________

V X

W is on the line segment somewhere, and VW is equal to 3.

3 ?

______________

V W X

$\bf Step~2:$

We have to solve for the ?. Let's put ? as x. So now we are solving for x.

We have to set up our equation like this:

x + 3 = 14

Since our unknown value plus 3 is equal to 14, we have to subtract 3 from 14 to get our answer.

14 - 3 = 11

3 11

______________

V W X

$\large\boxed {\bf Our~final~answer: ~WX=11}$

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2 years ago

The break even point is the point at which income equals expenses. Ridgemont High School is paying $13,200 for thr writing and r

Nikolay [14]

Answer:880

Step-by-step explanation: They need to cover expense of $13200. If printing fee is $25 and they sell the books for $40 each, then that means when selling a book they cover expense of printing plus they earn $15 per book.

So if they earn $15 per book that means they have to sell 13200/15=880 books to break even.

If you want to solve this by using equation the this would look like this:

expenses: $13200 + $25x where x is number of books sold

earnings: $40x

Equation:

13200+25x=40x

13200=15x

x=880

4 0

3 years ago