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nikklg [1K]
2 years ago
12

For what value of x is quadrilateral CDEF a parallelogram?x=?​

Mathematics
1 answer:
Contact [7]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Since we know that the diagonals bisect each other and divide into equal parts so ➡

x - 2 = 2x -7

2x - x = 7 - 2

x = 5

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give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b
Thepotemich [5.8K]

The domain of the functions are:

  • The domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2
  • The domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10
  • The domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5
  • The domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

<h3>What are the domains of a function?</h3>

The domain of a function is the set of input values the function can take i.e. the set of values the independent variable can assume?

<h3>How to determine the domain of the functions?</h3>

<u>Function 1</u>

The function is given as:

f(x) = √4x + 6

Set the radicand greater than 0

4x + 6 > 0

Subtract 6 from both sides

4x > -6

Divide by 4

x > -3/2

Express as interval notation

[-3/2, ∞)

Hence, the domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2

<u>Function 2</u>

The function is given as:

g(x) = -4√-20x - 6

Set the radicand greater than 0

-20x - 6 > 0

Add 6 to both sides

-20x > 6

Divide by -20

x < -6/20

Simplify

x < -3/10

Express as interval notation

(-∞, -3/10]

Hence, the domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10

<u>Function 3</u>

The function is given as:

f(x) = 15 + √5x - 16

Set the radicand greater than 0

5x - 16 > 0

Add 16 to both sides

5x > 16

Divide by 5

x > 16/5

Express as interval notation

[16/5, ∞)

Hence, the domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5

<u>Function 4</u>

The function is given as:

p(x) = √20x + 6

Set the radicand greater than 0

20x + 6 > 0

Subtract 6 from both sides

20x > -6

Divide by 20

x > -6/20

Simplify

x > -3/10

Express as interval notation

(-3/10, ∞]

Hence, the domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

Read more about domain at:

brainly.com/question/10197594

#SPJ1

3 0
1 year ago
I NEED HELP PLZ WILL GIVE BRAINLYIST FOR CORRECT ANSWER (NO LINKS)
drek231 [11]

Answer:

Carter scored 21 points

Step-by-step explanation:

If Denise scored 3 fewer points, then you would add three to 18 to get the number of points that Carter scored.

18 + 3 = 21

8 0
3 years ago
Using the definitions of odd and even functions, explain why y= sin x+1 is neither odd nor even.
Artyom0805 [142]

Answer:

Step-by-step explanation:

The graph is symmetric with respect to the origin therefore it is on odd function. The graph is symmetric to the y- axis therefore it is an even function. The majority of functions are neither odd nor even, however, sine and tangent are odd functions and cosine is an even function.

7 0
3 years ago
Help please ASAP!!!!!!
Elodia [21]
The correct answer to your problem is 96
4 0
3 years ago
In the figure below, L N equals 4 x minus 7 and M O equals 2 x plus 13. For which value of x is the figure a rectangle?
Georgia [21]

For this case we have the following data:


LN = 4x-7

MO = 2x + 13

So that the figure can be a rectangle, its diagonals must be equal, that is, LN = MO

In this way we have:


4x-7 = 2x + 13

Clearing x we have:

4x-2x = 13 + 7 \\2x = 20

x=\frac{20}{2} \\x = 10

Thus, x must be equal to 10 so that the figure is a rectangle.


Answer:


x = 10

Option A

3 0
3 years ago
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