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____ [38]
2 years ago
11

Find the value of x and the length of each side ​

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

The 3 sides of the triangle are  PR =  8.4, OR =  5.4 and OP =  3.1

Step-by-step explanation:

Step 1 :

Given

PR = 3x - 0.6

OP = x +  0.1

OR = x + 2.4

Also the 2 sides OR and PR are said to be equal.

So we have OR = PR

=> 3x - 0.6 =  x + 2.4

=>  x = 2.4 + 0.6 => x = 3

Step 2 :

we have ,

PR = 3x - 0.6 = 3(3) - 0.6 = 8.4

OR =  x + 2.4 = 3 + 2.4 = 5.4

OP = x + 0.1 = 3 + 0.1 = 3.1

Step 3 :

Answer :

The 3 sides of the triangle are

PR =  8.4

OR =  5.4

OP =  3.1

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Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

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Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

===============================================

Problem 2

<h3>Answer: True</h3>

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
What is the quotient of 1,078 and 14
pantera1 [17]

Answer:

<u>77</u> is the quotient of 1,078 and 14.

Step-by-step explanation:

quotient is the answer to a division problem.

numerator/denominator = quotient

1,078/14 = quotient

1,078/14 = <u>77</u>

Have a nice day!

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butalik [34]

Answer:

C

Step-by-step explanation:

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3 years ago
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Elanso [62]

Answer:

-3, 1, 5, 9

Step-by-step explanation:

2(2) - 7 = -3

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2(6) - 7 = 5

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Answer:

Step-by-step explanation:

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