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miss Akunina [59]
3 years ago
14

Its add math. i really need help, solve the question. thanks♥️​

Mathematics
1 answer:
dexar [7]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = ax + b

x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )

Substitute these values into f(x) = ax + b, that is

2a + b = 1 → (1)

- a + b = - 5 → (2)

Subtract (2) from (1) term by term to eliminate b

3a = 6 ( divide both sides by 3 )

a = 2

Substitute a = 2 into (2) and evaluate for b

- 2 + b = - 5 ( add 2 to both sides )

b = - 3

(b)

When x maps onto itself then

ax + b = x, that is

2x - 3 = x ( subtract x from both sides )

x - 3 = 0 ( add 3 to both sides )

x = 3

Thus a = 2, b = - 3 and x = 3

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PLZ HELP, AND PLZ EXPLAIN
shutvik [7]

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

  • AC=12 AND BD=8
  • ABCD is a rhombus
  • K and L are the midpoints of sides AD and CD
  • we notice that the rhombus ABCD is divided into four right triangles

What do you think of when you hear a right triangle ?

  • The pythagorian theorem !

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

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  • BC²= 52⇒\sqrt{52}=BC

Now we khow that : AB=BC=CD=AD=\sqrt{52}

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

  • KL is parallel to AC
  • k is the midpoint of AD and L of DC

I smell something . yes! Thales theorem

  • KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE
  • KL/12=\sqrt{52}/2*\sqrt{52}  
  • KL/12=1/2⇒ KL=6

Now we have the length of the base kl

Now the big boss the height :

  • notice that you khow the length of KL
  • BD crosses kl from its midpoint and DL = \sqrt{52} /2

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

  • DL²=(KL/2)²+D²
  • 52/4= 9+ D²
  • D² = 52/4-9 +4 SO D=2

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

  • A=(KL*H)/2 ⇒ A= (6*6)/2=18

THE ANSWER IS 18 SQ.UN

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I think you have the right answer already
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