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o-na [289]
2 years ago
15

Given 2 (x+3) - 4x = x Prove = 2 Complete the proof. Provide reasons for 1-6 below.

Mathematics
1 answer:
qwelly [4]2 years ago
3 0

step-by-step explanation:

#1: simplify both sides of the equation.

2(x+3)−4x=x

(2)(x)+(2)(3)+−4x=x

2x+6+−4x=x

(2x+−4x)+(6)=x

−2x+6=x

−2x+6=x

***

#2: subtract x from both sides.

−2x+6−x=x−x

−3x+6=0

***

#3: subtract 6 from both sides.

−3x+6−6=0−6

−3x=−6

***

step 4: divide both sides by -3.

−3x/-3 = -6/-3

solution x = 2

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Flura [38]
Let x be the length of the train.

On the basis of the observer;
Speed of the train = x/6

On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20

Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.

Therefore,
Length of train = 150 m
Speed of train = 25 m/s
8 0
4 years ago
You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
Kruka [31]

Answer with explanation:

A triangle is valid triangle if sum of length of two sides is greater than the third  side.

Let one side =a = 3 cm

Second side =b = 5 cm

Third Side = c Cm

So, for a valid triangle

1.

a+b > c

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2.

c+3 > 5

c> 5-3

c>2 Cm

3.

As, 5+c will always be greater than 3.

→→→So, combining 1 and 2 , we get

2 Cm< Third side < 8 Cm, for a valid triangle.

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