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3 years ago

Factorize x^3+4x^2+x-6

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

The answer would be (x-1)(x+2)(x+3)

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The coordinates of the endpoints of AB and CD are A(2,

Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

$m= \frac{y_2-y_1}{x_2-x_1}$

Formula to Find Distance between two points

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

mAB ( represents , Slope of AB )

1. $mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}$

2. $mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}$

3. $mCD=\frac{5-2}{6-5}=\frac{3}{1}=3$

4. $AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

5. $BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is $-\frac{1}{3}$

$mAB=-\frac{1}{3}$

$mCD=3$

$mAB \times mCD = -\frac{1}{3} \times 3 = -1$

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0

3 years ago

I need help ASAP !!!

lbvjy [14]

The answer is (x,y) —> (y,-x)

8 0

3 years ago

An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, de

Pavlova-9 [17]

Answer:

the answer is b

Step-by-step explanation:

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3 years ago

Select the property that is demonstrated by: 3 + 7 = 7 + 3 Group of answer choices Identity Property Associative Property Commut

cricket20 [7]

Answer:

The Commutative Property

Step-by-step explanation:

8 0

3 years ago

Dan was thinking of a number. Dan doubles it and adds 0.8 to get an answer of 58.9. Form an equation with

chubhunter [2.5K]

Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

6 0

2 years ago