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PolarNik [594]
1 year ago
5

Draw an area model to represent 4x^2+12x+9 = (2x+3)^2. Label the length and width of the whole square and label each individual

small square and rectangle.
Mathematics
1 answer:
My name is Ann [436]1 year ago
7 0

See attachment for the area model of the equation 4x^2+12x+9 = (2x+3)^2

<h3>What are area models?</h3>

Area models are shapes used to model or illustrate products, multiplications, divisions and quotients

<h3>How to draw the area model?</h3>

The equation is given as:

4x^2+12x+9 = (2x+3)^2

Express (2x+3)^2 as the product of (2x+3) and (2x+3)

4x^2+12x+9 = (2x+3) * (2x+3)

The above means that the area model is a square.

So, the side lengths of the model must be equal, where the side lengths are 2x + 3 and the area of the square is 4x^2+12x+9

See attachment for the area model of the equation 4x^2+12x+9 = (2x+3)^2

Read more about area models at:

brainly.com/question/12245811

#SPJ1

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On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 4 inches and
sergiy2304 [10]

Answer:

the two triangles are the same shape but not the same size

Step-by-step explanation:

an equilateral triangle has all equal sides. if one triangle has a side length of 4 inches, it'll be smaller than the triangle with the side length of 5 inches but just because they're different sizes doesn't mean they're a different shape. (i don't know if this is right but I'm pretty sure it is)

8 0
2 years ago
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Help with this and explain please
svet-max [94.6K]

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

4 0
2 years ago
A cashier has a total of 30 bills, consisting entirely of $1 bills, $5 bills, and $20 bills. The total dollar amount of these bi
kolbaska11 [484]

Answer:

Five= 9 One= 6 Twenty= 15

Step-by-step explanation:

A cashier has a total of 30 bills, made up of ones, fives, and twenties.

o+f+t=30,

The number of twenties is 9 more than the number of ones.

t=9+o,

The total value of the money is $351.

o+5f+20t=351

so we have

o+f+t=30, t=9+o,

o+5f+20t=351

f = 9, o = 6, t = 15

6 0
3 years ago
How is jimthompson so smart?
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The statement is valid. To set up a Euler diagram, follow these steps

Step 1) Draw a large circle and label it circle A

Step 2) Inside this large circle, draw a smaller circle and label it circle B

Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means. 

So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"

This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement. 
6 0
3 years ago
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