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3 years ago

Which equation is an identity?

Mathematics

2 answers:

irinina [24]3 years ago

7 0

The equation that represents an identity is 
3w + 8 – w = 4w – 2(w – 4). w = 8

3241004551 [841]3 years ago

5 0

Answer:

The correct option is 2.

Step-by-step explanation:

The equations that are true for any value of the variable, no matter what value is plugged in for the variable, then they are called Identity equations.

The first equation is

$7m-5=8m+7-m$

$7m-5=7m+7$

Subtract 7m from both the sides.

$-5=7$

This statement is false for any value of m. Therefore this is not an Identity equation.

The second equation is

$3w+8-w=4w-2(w-4)$

Using distributive property,

$2w+8=4w-2w+8$

$2w+8=2w+8$

$0=0$

This statement is true for any value of w. Therefore this is an Identity equation.

The third equation is

$9-(2v+3)=-2v-6$

$9-2v-3=-2v-6$

$-2v+6=-2v-6$

$6=-6$

This statement is false for any value of v. Therefore this is not an Identity equation.

The fourth equation is

$-3y+3=-3y-6$

Add 3y on both the sides.

$3=-6$

This statement is false for any value of y. Therefore this is not an Identity equation.

Hence the correct option is 2.

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Solve the inequality 4b

Mnenie [13.5K]

Could you maybe provide us with a better explantion or picture?

4 0

3 years ago

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1$

Also Slope of line when angle ' θ ' is given as

$Slope=\tan \theta$

Substituting Slope = 1 we get

$1=\tan \theta$

$\tan \theta=1\\\theta=\tan^{-1}(1)$

We Know That for angle 45°,

tan 45 = 1

Therefore

$\theta=45\°$

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0

3 years ago

La suma de las probabilidades de todos los posibles resultados de un experimento aleatorio debe ser igual a

Digiron [165]

Respuesta: Uno

La suma de la probabilidad de todos los resultados posibles de un experimento aleatorio debe ser igual a uno.

Porque algunos resultados más ocurren en cada sendero y la suma de todas las probabilidades es 100% o uno.

Espero haber ayudado, buena suerte! :)

3 0

2 years ago

Find the axis of symmetry for this parabola: y=-5x^2-10x-13

Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a= 5 h = 1 k = − 18

3. Since the value of a is positive, the parabola opens up.

Opens Up

4. Find the vertex ( h , k ) . ( 1 , − 18 )

5. Find p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0

2 years ago

5x-6_< -5x +16 solve

Olegator [25]

Answer:

haha

Step-by-step explanation:

thanks for the points

4 0

2 years ago