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Evgen [1.6K]
3 years ago
11

Rafael wrote the statements shown in the chart. 1.)If a point lies outside a line, then exactly one plane contains both the line

and the point. 2.) If two points lie in a plane, then the line joining them lies in that plane.
Which option best classifies Rafael’s statements?
A) 1 and 2 are theorems because they can be proved.
B) 1 and 2 are postulates because they are true facts.
C) 1 is a theorem because it can be proved and 2 is a postulate because it is a true fact.
D) 1 is a postulate because it is a true fact and 2 is a theorem because it can be proved.
Mathematics
1 answer:
Burka [1]3 years ago
8 0

<span>Both can be proven. So, the correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
mojhsa [17]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

7 0
3 years ago
Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How m
Natasha_Volkova [10]

Answer:

Alan buys 12.05 ounces of sour patch kids candy in all.

Step-by-step explanation:

We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.

And we have to find the total ounces he buys in all.

As we know that for finding the total quantity or amount, we will use addition for calculating it.

Firstly, Alan buys = 5.3 ounces of sour patch kids candy

Additional ounces of sour patch kids candy Alan buys = 6.75

So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75

                                                                                                   = 12.05 ounces

Hence, he buys 12.05 ounces in all.

7 0
3 years ago
Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card random
Mice21 [21]
If it were like that, 9/20 would be baseball card. \frac{9}{20} = \frac{x}{60}
x=27 since 20x3=60
5 0
3 years ago
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What is the slope of a horizontal line
Step2247 [10]

Answer:

0

Step-by-step explanation:

8 0
3 years ago
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Solve for x by completing the square: x2 - 12x + 11 = 0
sineoko [7]

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± \sqrt{25} = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

6 0
3 years ago
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