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Arada [10]
3 years ago
10

Point D is rotated 180 degrees using B as the center. Explain why the image of D must lie on the ray BA.

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

The image of D must lie on the ray BA, since ray BA is antiparallel to ray BD. That is, the angle between both rays is 180 degrees.

Step-by-step explanation:

Let be D' the image of D such that D is rotated 180 degrees counterclockwise with B as center of rotation.

D' must lie on the ray BA, since ray BA is antiparallel to ray BD. That is, the angle between both rays is 180 degrees.

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The table below represents the function F. 3 7 F(x) 4 15 5 31 7 127 8 255 The equation that represents this function is?​
timurjin [86]

The table is an exponential function, and the equation that represents this function is f(x) =2^x -1

<h3>The equation of the table</h3>

The table is given as:

x   F(x)

4    15

5    31

7    127

8    255

Rewrite the table as:

x   F(x)

4    16 - 1

5    32 - 1

7    128 - 1

8    256 - 1

Express as a base of 2

x   F(x)

4    2⁴ - 1

5    2⁵- 1

7    2⁷ - 1

8    2⁸ - 1

Notice that the function is 1 subtracted from 2 raised to the power of the input.

This is represented as:

f(x) =2^x -1

Hence, the equation of the table is f(x) =2^x -1

Read more about exponential functions at

brainly.com/question/9608962

#SPJ1

4 0
2 years ago
Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical term
antiseptic1488 [7]
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet. 
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down. 
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive. 
6 0
3 years ago
The area ( l x w ) of the postcard is 24 square inches. What is the width b of the message (in inches)?
pentagon [3]

area = (l)(w)(h)

24 = 4(3 + b)

24 = 12 + 4b

-12 on both sides

12 = 4b

/4 on both sides

b = 3 inches

Substitute b = 3 inches in width

3 + b

3 + 3 = 6 inches

Answer:

width = 6 inches

5 0
3 years ago
What are the rules for multiplying negative integers​
Sergeeva-Olga [200]

Answer:

Negative time a negative equals a positive!

Step-by-step explanation:

When you multiply two negative numbers or two positive numbers then the product is always positive. The same also goes for dividing negative integers.

7 0
3 years ago
Read 2 more answers
Kayla is having a neighbor watch her dog while she is gone for the week she decides to take 7/8 of a pound of dog food and put i
777dan777 [17]

Answer:

1/ 8 pounds of dog food

Step-by-step explanation:

Given that:

7/8 pounds of dog food shared equally into 7 containers ;

Number of dog food in each container will be :

Total dog food / Number of containers

(7/8) ÷ 7

(7 /8) * 1/ 7

7 / 56

= 1/8 pounds of dog food

4 0
3 years ago
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