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3 years ago

How do you decide whether a number is a solution of an inequality

Mathematics

1 answer:

disa [49]3 years ago

4 0

Answer:

We can solve inequalities to find all values of the variable that make the inequality true. The idea is to get the variable all by itself on one side of the inequality sign so we can easily see the solutions to the inequality.

Hence for any given inequality and for any given number if we put that number in that inequality and see that the given inequality sign holds true than that number will be a solution of the inequality otherwise it is not an solution of the inequality.

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Write an equation of the line passing through the given points.

ANEK [815]

Answer:

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

$y=-2x-3$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 1 ,-5)

point B( x₂ , y₂ )≡ (-4 , 5)

To Find:

Equation of Line AB =?

Solution:

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

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

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 1 ,-5) and B( x₂ , y₂ )≡ (-4 , 5) we get

$y-(-5)=\frac{5--5}{-4-1}\times (x-1)\\ \\y+5=\frac{10}{-5}(x-1)\\ \\y+5=-2(x-1)\\y+5=-2x+2 ......Applying\ Distributive\ property\\\\y=-2x+2-5\\\\y=-2x-3....Which\ is\ required$

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

$y=-2x-3$

3 0

3 years ago

Can someone please help me ?? i’ll give brainliest

sdas [7]

Answer:

ABE bc its the same degree angle

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Pls helps I need help

Hoochie [10]

Look up the question on Brainly! I’m pretty sure it’ll come up. If not, sorry!

8 0

3 years ago

I don’t understand how to do this and i need help!!

wariber [46]

Answer:

x = 26

Step-by-step explanation:

6x + 6x + (x-2) + (x-2) = 360

14x - 4 = 360

14x = 364

x = 26

6(26) = 156

(26 - 2) = 24

8 0

3 years ago

The sum of the square of a positive number and the square of 3 or more than the numbers is 17. What is the number

Crank

Answer:

Step-by-step explanation:

Let x represent the number. The given relation is ...

x² +(x+3)² = 17

2x² +6x +9 = 17 . . . . simplify

x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

(x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.

3 0

3 years ago