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Gennadij [26K]
2 years ago
8

Hello Guys, I really need help with these questions. Here they are.

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0

Step-by-step explanation:

Ok, so first...

a) if x is positive, it will remain x, so *x<7*

b) if x+3 is positive, it will be x+3<9 but you have to simplify it so you subtract 3 on both sides and get *x<6*

c) if y-8 is positive, it will stay like that, and you then add 8 on both sides to get *y>19*

g) if 3x-1 is positive, it will be 3x-1 greater than or equal to 18. add 1 on both sides and *3x > or = to 18*

4y+3 < or = 13. subtract 3 on both sides and you get *4y < or = 13*

One more thing:

Less than or equal to is a '<' with a line underneath.

Greater than or equal to is a '>' with a line underneath.

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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}

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

13x - 4y = 84.

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