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nikitadnepr [17]
3 years ago
9

A conjecture and the paragraph proof used to prove the conjecture are shown.

Mathematics
1 answer:
quester [9]3 years ago
8 0

First box is EF.

Second box is segment congruence postulate.

Third box is segment additon postulate.

Fourth box is DF. For this one the last sentence basically gives you the answer.

Just so you know for the fourth I guessed on if it's DF lined or DF unlined. I made my educated guess on the fact that the last line doesn't have a line. I hope this helps, and please tell me if I got something wrong, or my explanation wasn't sufficent enough for you.

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In finding the solution of the equation 5 - 3x = 2x + 9, 3x is added to both sides of the equation first. Which of the following
KIM [24]

Answer:

C should be next

Step-by-step explanation:

Ok after you add 3x to both side you should get this:

5=5x+9

It makes since o subtract 9 from both sides at least for me.

Hope this helps :D

5 0
3 years ago
Read 2 more answers
Which table shows a function whose range has exactly three elements
Rudik [331]
<h2>Answer:</h2>

The table which shows that a function's range has exactly three elements is:

         x      y

         3      8

        4      6

        5      12

        6       8

<h2>Step-by-step explanation:</h2>

<u>Domain of a function--</u>

The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.

<u>Range of a function--</u>

It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.

a)

     x      y

     1      4

     2      4

     3       4

Domain: {1,2,3}

Range: {4}

Hence, the range has a single element.

b)

     x      y

     3      8

     4      6

     5      12

     6       8

Domain: {3,4,5,6}

Range: {6,8,12}

Hence, the range has three element.

c)

     x      y

     0     5

     2      9

     0      15

This relation is not a function.

because 0 has two images.

0 is mapped to 5 and 0 is mapped to 15.

d)

     x      y

     1      4

     3     2

    5      1  

    3      4

This relation is not a function.

because 3 has two images.

3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)

5 0
3 years ago
Read 2 more answers
2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0
2 years ago
What is the volume of this prism?
Kay [80]

Answer:

62.73 rounding up 63

Step-by-step explanation:

To find volume you multiple lenght times width times height

3*3*6.97

6 0
3 years ago
What do I type in all the yellow boxes?
iVinArrow [24]

Answer:

1st blank: 4

2nd blank: -8

y=2

Step-by-step explanation:

-2²=4

4(-2)=-8

1 x 4 = 4

4 + -8 = -4

-4 + 6 = 2

3 0
2 years ago
Read 2 more answers
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