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maksim [4K]
3 years ago
13

Factor completely: 9x3 + 9x2y - 4x - 4y

Mathematics
2 answers:
Sholpan [36]3 years ago
4 0

Answer:

(x+y)(3x+2)(3x-2)

Step-by-step explanation:

The given expression is 9x^3+9x^2y-4x-4y

Make group as shown below

(9x^3+9x^2y)+(-4x-4y)

Factor out GCF from each of the group

9x^2(x+y)-4(x+y)

Now, factored out the common term

(x+y)(9x^2-4)

Now, rewrite the expression in perfect square form

(x+y)((3x)^2-2^2)

Apply the difference of squares formula: a^2-b^2=(a+b)(a-b)

(x+y)(3x+2)(3x-2)

Hence, the factored form of the given expression is

(x+y)(3x+2)(3x-2)

belka [17]3 years ago
3 0
9x^3 + 9x^2y - 4x - 4y

= 9x^2(x + y) -4(x + y)

= (x +y)(9x^2-4)

= (x +y)(3x - 2)(3x + 2)
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Use the graph below to answer the question that follows:
Bas_tet [7]
For this case the amplitude is given by:
 A = (l-1l + 3) / 2
 A = 4/2
 A = 2
 The middle line is given by:
 y = 1
 The period of the function is given by:
 T = l x2 - x1 l
 T = l 0 - 2pi l
 T = l - 2pi l
 T = 2pi
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Amplitude: 2; period: 2π; midline: y = 1
3 0
3 years ago
ANSWER ASAP!!! Find the length of the segment indicated
trapecia [35]

Answer:

14.45

Step-by-step explanation:

x^2+(7.1)^2=(16.1)^2

×^2+50.41=259.21

x^2=208.8

sqrt(x^2)=sqrt(208.8)

x=14.45

check.

14.45^2 + 7.1^2 = 16.1^2

4 0
3 years ago
PLEASE HELP ME QUICK!!!Can you form a triangle with angle measurements of 50°, 50° and 100° explain why or why not.
alex41 [277]

Answer:

No, you can't form a triangle because angles in a triangle add up to 180 degrees.

Step-by-step explanation:

100+50+50= 200 degrees, which means that you cant form a triangle with these measurements because angles in a triangle have to add up to 180 degrees.

7 0
3 years ago
Help needed ASAP plz
Hitman42 [59]
Hey there!

The x-intercept is where the line crosses the x-axis. The x-axis is horizontal. It crosses the line three left from the origin, or (0,0). This is -3. The x-intercept is -3. The answer would be either B or C. The line never hits the y-axis, so the y-intercept is none. The answer is C.

I hope this helps!
4 0
4 years ago
What is the midpoint of the segment shown below?
kolbaska11 [484]

The midpoint of the segment is (-15/2, -15/2)

<h3>How to determine the midpoint?</h3>

The complete question is in the attached image

The points are given as:

(-8, -7) and (-7, -8)

The midpoint is calculated as:

(x,y) = 1/2 * (x1 + x2, y1 + y2)

So, we have:

(x,y) = 1/2 * (-8 - 7, -7 - 8)

Evaluate the difference

(x,y) = 1/2 * (-15, -15)

Evaluate the product

(x,y) = (-15/2, -15/2)

Hence, the midpoint of the segment is (-15/2, -15/2)

Read more about midpoints at:

brainly.com/question/4747771

#SPJ1

8 0
2 years ago
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