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Digiron [165]
3 years ago
6

Identify the transformation from figure A to figure B in the image below.

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

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Factor completely:<br>64 - y^3
madam [21]
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 4^{3}, and y^{3}.

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})

In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
3 years ago
How would I get this information into Y=Mx+B
andriy [413]
One question at a time, please.  I will focus on #16 and ignore #18.

slope:  3/4              line passes thru (-8,2)

Write out    y = mx + b.  Subst. 2 for y.  Subst. -8 for x  Subst. (3/4) for m:

2 = (3/4)(-8) + b.  Find b.           2 = -6 + b    =>           b = 8

So your equation is y = (3/4)x + 8.  Please, use (  ) around those fractions!
3 0
3 years ago
There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1,550 worth
Blizzard [7]

Answer:

  • 10 small pizzas sold

Step-by-step explanation:

Let number of large pizzas be l and number of small be s.

<u>Then we have equations:</u>

  • l + s = 100
  • 16l + 11s = 1550

<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>

  • 16(100 - s) + 11s = 1550
  • 1600 - 16s + 11s = 1550
  • 5s = 1600 - 1550
  • 5s = 50
  • s = 10

Number of small pizzas is 10

7 0
3 years ago
Determine the value for b assuming that the two horizontal lines displayed are parallel.
Neko [114]

Answer:

29

Step-by-step explanation:

8 0
3 years ago
F(x)=-4x - 5 g(x)=3x - 2 Find( f - g )(x)
jok3333 [9.3K]
#1 is 12x² -15x 

#2 is fx-9x

4 0
3 years ago
Read 2 more answers
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