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3 years ago

The points (4, -11) and (8, r) lie on a line with slope 2. Find the missing coordinate r.

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Answer:

The answer to your question is r = -3

Step-by-step explanation:

Data

A (4, -11)

B (8, r)

slope = m = 2

r = ?

Process

1.- Use the slope equation to find the coordinate r.

Formula

$m = \frac{y2 - y1}{x2 - x1}$

Substitution

$m = \frac{r + 11}{8 - 4}$ = 2

2.- Simplify

$\frac{r + 11}{4} = 2$

3.- Solve for r

Multiply both sides by 4

$\frac{4(r + 11)}{4} = 2(4)$

Simplify

r + 11 = 8

Subtract 11 in both sides

r + 11 - 11 = 8 - 11

Simplify

r = -3

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2 years ago

QUESTION 20

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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.

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2 years ago