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3 years ago

Write the equation of the line through (3, −1) and parallel to 2x−y=6.

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer:

2x - y = 7

Step-by-step explanation:

Parallel lines have the same slope and the equation will have the same form

That is

2x - y = c ← c will have different values depending on the point it passes through.

Here the line passes through (3, - 1 ) , thus substituting into the left side

2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence

2x - y = 7 ← equation of line

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QUESTION 20

Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) $f(x) =-2\cdot x ^{2}-6$ Dado

2) $g(x) = x+4$ Dado

3) $(f-g)(x) = (-2\cdot x^{2}-6)-(x+4)$ Definición de resta de funciones.

4) $(f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)$ $(-1)\cdot a = -a$

5) $(f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)$ Propiedad distributiva/ $(-1)\cdot a = -a$

6) $(f-g)(x) = -2\cdot x^{2}-x+(-6-4)$ Propiedad conmutativa

7) $(f-g) (x) = -2\cdot x^{2}-x-10$ Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en $x = -5$ :

$(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10$

$(f-g)(-5) =-55$

Por ende, la respuesta correcta es B.

8 0

3 years ago

Solve pls brainliest

BigorU [14]

Have a great day!!!!

7 0

2 years ago

Read 2 more answers

Write an equation in point-slope form for the line that passes through the point with the given slope. (-5, -8), m = -2

Arada [10]

Answer:

Y= -2x - 18

Step-by-step explanation:

Hope it works

4 0

3 years ago

Find the x value 4x-28 9x

andriy [413]

Answer: -5.6

Step-by-step explanation:

Simplifying

(4x + -28) = 9x

Reorder the terms:

(-28 + 4x) = 9x

Remove parenthesis around (-28 + 4x)

-28 + 4x = 9x

Solving

-28 + 4x = 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

-28 + 4x + -9x = 9x + -9x

Combine like terms: 4x + -9x = -5x

-28 + -5x = 9x + -9x

Combine like terms: 9x + -9x = 0

-28 + -5x = 0

Add '28' to each side of the equation.

-28 + 28 + -5x = 0 + 28

Combine like terms: -28 + 28 = 0

0 + -5x = 0 + 28

-5x = 0 + 28

Combine like terms: 0 + 28 = 28

-5x = 28

Divide each side by '-5'.

x = -5.6

Simplifying

x = -5.6

5 0

3 years ago

Rewrite using the distributive property then solve using gcf. 5(4+3)

Vitek1552 [10]

Answer:

Step-by-step explanation:

5×4+5×3

20+15

5 0

3 years ago