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marysya [2.9K]
3 years ago
8

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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QUESTION 20
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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:

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

Por ende, la respuesta correcta es B.

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