Mathematics: 4. find the length of ab if a is located (-2,0) and b is located at (5,0) 5. if ef=9x+14, fg=56, and eg=250, find the value of x. the drawing is not to scale.

Dividing both sides by t gives:r=tdStep-by-step explanation:...

4. find the length of ab if a is located (-2,0)

kaliloabousjbf

10.03.2022

4. 7 unit

5. 20 unit

Step-by-step explanation:

4. Since, A≡ (-7,0) and B≡ (5,0)

Thus, By the distance formula,

$AB = \sqrt{(5-(-2))^2+ (0-0)^2}$

⇒ $AB = \sqrt{(5+2)^2+ (0)^2}$

⇒ $AB = \sqrt{(7)^2+ (0)^2}$

⇒ $AB = \sqrt{49+0}$

⇒ $AB = \sqrt{49}$

⇒ AB = 7 unit

5. Here EF = 9x + 14, FG = 56 and EG= 250

But, According to the given diagram,

EF + FG = EG ( because G divides the line EG )

⇒ 9x + 14 + 56 = 250

⇒ 9x + 70 = 250

⇒ 9x = 250 - 70 ( By subtracting both sides by 70)

⇒ 9x = 180

⇒ x = 20 ( by dividing both sides by 9 )

Thus, the value of x is 20.

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helloyall40

23.10.2022

Dividing both sides by

gives:

Step-by-step explanation:

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