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docker41 [41]
3 years ago
14

If PM = 2x - 5, PN = 6x, and MN = 5x + 4, what is the value of x?

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

The required value of x = 3

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

The given three points are collinear to each other and the point P lies somewhere between the end points of the line MN

So, to find the value of x we can use the relation : Sum of Mid segments PM and PN is equal to complete length of the line segment MN

⇒ PN + PM = MN

⇒ 6·x + 2·x - 5 = 5·x + 4

⇒ 8·x - 5·x = 4 + 5

⇒ 3·x = 9

⇒ x = 3

Hence, The required value of x = 3

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What is the domain of f/g given f(x) = x+4 and g(x) = x-1
Butoxors [25]

Answer:   the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x -  1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴  x - 1 ≠ 0

the value of x when g(x) = 0 is

       x - 1 = 0

       x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

5 0
3 years ago
Help???????!!!!!!!??????
Musya8 [376]
I think you divde the fractions
8 0
4 years ago
Solve the following equation for <br><br><br> G:2 (g-h) = b+4
Klio2033 [76]

If the equation 2(g - h) = b + 4 is solved for g. Then the value of g will be b/2 + h + 2.

<h3>What is the solution of the equation?</h3>

A combination of equations solution is a collection of values x, y, z, etc. that enable all of the calculations to true at the same time.

The equation is given below.

2(g - h) = b + 4

Then solve the equation for the value of g. Then we have

2(g - h) = b + 4

   g - h = b/2 + 2

        g = h + b/2 + 2

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ1

3 0
2 years ago
1. A box of fruit has 12 plums and 15 bananas. The
sukhopar [10]

Answer:

12p x (15 x 25) I might not be correct :')

3 0
3 years ago
Read 2 more answers
Can someone please help! i have no clue what im doing
gulaghasi [49]

g(x) = -3x - 8


g(x) = 10

⇒ -3x - 8 = 10

⇒ -3x = 18

⇒ x= -6


g(-6) = 10 <==== answer is -6

7 0
3 years ago
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