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kari74 [83]
3 years ago
15

A pentomino is made up of five squares where two squares are joined along an entire side. Two pen- tominos are the same if they

can be matched by turning or flipping. How many different pentomino shapes are possible?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

There are 12 such shapes. One can start with two squares, adding squares around the edge and rejecting shapes that have been previously seen. Repeating until you have 5 squares results in 12 distinct shapes.

_____

2 shapes are possible with 3 squares: L, I

5 shapes are possible with 4 squares: L, I, N, T, O

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The tables represent the functions f(x) and g(x).
dolphi86 [110]

A function assigns the values. The correct option is C, x=-6.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

A.) When the value of x is -12,

f(-12) = 2/3(-12) + 7 = -1

g(-12) = 2(-12) + 15 = -9

B.) When the value of x is -9,

f(-9) = 2/3(-9) + 7 = 1

g(-9) = 2(-9) + 15 = -3

C.) When the value of x is -6,

f(-6) = 2/3(-6) + 7 = 3

g(-6) = 2(-6) + 15 = 3

D.) When the value of x is -3,

f(-9) = 2/3(-3) + 7 = 5

g(-9) = 2(-2) + 15 = 11

Hence, the correct option is C, x=-6.

Learn more about Function:

brainly.com/question/5245372

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4 0
2 years ago
Please factor this equation: 6a^2 − 12a + 6
mote1985 [20]

Answer: 6(a-1)^2

Step-by-step explanation:

6a^2-12a+6

6(a^2-2a+1)

6(a-1)^2

8 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?
alexandr1967 [171]

Answer:

The slope of the line is -\frac{2}{3}

Step-by-step explanation:

For any line y=mx+b, a line that is perpendicular to it is y_\perp =-\frac{1}{m} x+b.

Therefore the slope of the perpendicular line is -\frac{1}{m}.

For our case y=\frac{3}{2}x-\frac{1}{2} therefore the slope of the prependicular is the reciprocal of \frac{3}{2} multiplied by -1.

\therefore\:slope=-\frac{2}{3}.

4 0
3 years ago
How do you do the question of 50%of 50 in math like how would you solve it
AveGali [126]

Answer:

25

Step-by-step explanation:

50% is half of something. half of 50 is 25.

Also there is another way to do it. 50/100 = 50%.

50/100 x 50 = 2500/100 = 25.  or 50/100 = 1/2. 1/2 x 50 = 50/2 = 25.

4 0
3 years ago
21) Jaquan earns $5 per hour raking leaves. He needs at least $170 to buy a new deo game system. Write an inequality that descri
Anna007 [38]
5x>/170
(WORK SHOWN BELOW)

5 0
3 years ago
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