Which number is closet to 51.4 is it 51.41,51.39 ,51.041 ,51.402

Mathematics

2 answers:

lyudmila [28]3 years ago

8 0

The number closest to 51.4 is 51.402

irga5000 [103]3 years ago

8 0

Answer:

The correct option is D) 51.402

Step-by-step explanation:

Consider the provided number 51.4

We need to identify the number closet to 51.4

The provided options are: 51.41, 51.39, 51.041, 51.402

To find which is closet number simply find the difference between the provided number and options given, As the difference will decrease the number gets closer.

Find the difference between 51.41 and 51.4

51.41-51.4=0.01

Find the difference between 51.4 and 51.39

51.4-51.39=0.01

Find the difference between 51.4 and 51.041

51.4-51.041=0.359

Find the difference between 51.402 and 51.4

51.402-51.4=0.002

Here, 0.002 is the minimum difference that means the number 51.402 is the closet to 51.4

Hence, the correct option is D) 51.402

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Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )

irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}$