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Allisa [31]
2 years ago
14

In a coordinate plane, triangle ABC has vertices A (1, 1), B (1, 5), and C (5,1). Triangle ABC is translated 3 units right and 2

units down, resulting in triangle A'B'C'. Which rule best describes the transformation of the triangle?
a-(x, y) → (-3x, 2y)
b-(x, y) → (3x, -2y)
c-(x,y) → (x -3, y +2)
d-(x, y) → (x +3, y - 2)
Mathematics
1 answer:
myrzilka [38]2 years ago
7 0

Answer:

\frac{4}{15}

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A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted
Len [333]

Answer: Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices =  5+1.5x

Step-by-step explanation:

Let x = number of slices

As per given,

Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)

i.e. Total monthly cost for x slices = 5+1.5x

If x=20

Then, Nazim have to pay = 5+1.5(20)

= 5+30= $35

i..e Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices =  5+1.5x

5 0
3 years ago
How do you write 2/9 as a %
Dmitriy789 [7]
The answer is 22.222222%.
5 0
3 years ago
Read 2 more answers
Use the following diagram to answer question 4 and 5
baherus [9]

Answer:

3x-13+2x+4=116( the sum of two interior angle is epual to the sum of exterior angle )

5x =116-9

5x=107

x=21.4 degree

then

angle a= 3*21.4-13

a=51.2degree

angle b=2*21.4+2

b =44.8degree

Step-by-step explanation:

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3 0
2 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
What is the slope of the line y= 1
Harrizon [31]

Answer:

The slope of y = 1 is 0

explanation:

Determining slope has been based on a simple formula, y2-y1 over x2-x1.

It is crucial to follow this formula in order to attain the proper slope.

When a simple expression is given, for instance; y = 1 then it could be divided by 0; thus, resulting in the answer simply being zero.

However, x=1  would contain the slope of undefined because any number divided by zero results in an undefined answer.



8 0
3 years ago
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