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ivolga24 [154]
3 years ago
8

Find the product (3x-9)^2

Mathematics
1 answer:
Stells [14]3 years ago
4 0

Here are the steps:

(3x-9)^2

(3x-9)(3x-9)

9x^2 - 27x - 27x +81

9x^2 - 54x + 81

good luck ;)


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Please help 30 points Asap
Andrej [43]

40 units2˛

   Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).

The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.

  The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.

 L = sqrt((2 - -6)^2 + (1 - -1)^2)

 L = sqrt(8^2 + 2^2)

 L = sqrt(64 + 4)

 L = sqrt(68) = 2*sqrt(17)

  W = sqrt((2-3)^2 + (1- -3)^2)

 W = sqrt((-1)^2 + 4^2)

 W = sqrt(1 + 16)

 W = sqrt(17)

  And the area is length * width, so:

 2*sqrt(17)*sqrt(17) = 2 * 17 = 34

  And the total area is the sum of the areas, so

 34 + 6 = 40

  So the area of the figure is 40 square units.

7 0
3 years ago
Read 2 more answers
Help!!!!! please!!!!!
Crazy boy [7]

Answer:

108cm^{3}  (B)

Step-by-step explanation:

Find the area of the triangle first.

6 * 4  = 24/2 = 12

Multiply by the width.

12 * 9 = 108

8 0
3 years ago
Read 2 more answers
Which pair of inequalities would overlap if they were graphed?
Fittoniya [83]

Answer:

x <= 10, x >4

Step-by-step explanation:

This is because 4 is less than  10 and 10 is greater than 4, making them overlap

4 0
3 years ago
Can someone help , if they are proportional what is the equation
mr_godi [17]

Answer:


Step-by-step explanation:

y = x

The constant of proportionality is 1 although you cannot see it. It is understood to be there.

y = (-8/5) x

This is a nasty piece of work and it depends on your grade level. If you are below grade 8, you are not encouraged to think of a constant of proportionality as less than 0.

In general the opinion is split. Some people say yes others no. If you twist my arm and put a gun to my head, my answer would be that it's fine, but it is a matter of what you have been told. I would read your notes.

8 0
2 years ago
If a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?
vova2212 [387]

Answer:

<em>3x + 2y = -2 </em>

Step-by-step explanation:

<em>Given Equation is</em> <em>− 2 x  +  3 y  =  12</em>

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

<em />

<em>Slope of this line is  </em><em>m  =  2/ 3 </em>

<em> Slope of Line A </em><em> m a  =  2 </em>

<em> Slope of Line B  </em><em>m b  =  2/ 3 </em>

<em> Slope of Line C  </em><em>m c  =  − ( 2 /3 ) </em>

<em> Slope of Line D</em>  <em>m d  =  −  ( 3 /2 ) </em>

since  m d  =  − 1 /m  ,  <em>D</em>  is perpendicular to the given line

7 0
3 years ago
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