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3 years ago

Find the slope for (-4,-2)(-3,-6)

Mathematics

2 answers:

sergey [27]3 years ago

7 0

Answer:

The slope is -4.

Step-by-step explanation:

The values -2 and -6 are 4 values apart.

The values -4 and -3 are 1 value apart.

Since the second coordinate is lower than the first one, the slope of this is negative.

4 / 1 = 1

Negating 1 gets us -1.

Hope this helped!

sveticcg [70]3 years ago

5 0

Answer:

$\frac{y}{x} = \frac{ - 4}{1} = - 4$

Step-by-step explanation:

$x = ( - 3) - ( - 4) = 1$

$y = ( - 6) - ( - 2) = - 4$

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Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).

Licemer1 [7]

coordinates of the point are (2,6) and (3,4)

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB = $\frac{1k}{2k}$ = ratio 1:2

now

finding p

for this

$(m_1,m_2)=(1,2)$

For AB

$(x_1,y_1)=(1,8)$

$(x_2,y_2)=(4,2)$

now by using division formula

$(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})$

$=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)$

similarly

Q divides AB

Ratio of AQ and QB = $\frac{2k}{1k}$ = ratio 2:1

$(x_1,y_1)=(1,8)$

$(x_2,y_2)=(4,2)$

$(m_1,m_2)=(2,1)$

by using division formula

$(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})$

$=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)$

4 0

2 years ago

Help! How Can I Determine the interval in which the function is increasing.

Anuta_ua [19.1K]

Answer:

$(2,\infty)$

Step-by-step explanation:

After x=2, we see that the change in y over the change in x is positive since both variables increase with each other, so $(2,\infty)$ is where the function is increasing.

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2 years ago

Every month Miss Thomas pays her car loan through automatic payments from her savings account. she pays the same car loan each m

ivann1987 [24]

Im pretty sure the answer is 244.25

8 0

3 years ago

In 1985, there were 285 cell phone subscribers in Arlington. The number of subscribers increased by 75% per year since 1985. Fin

ANTONII [103]

Answer:

The number of subscribers in 2008 is 110,845,988

Step-by-step explanation:

The number of cell phone subscribers in Arlington, in t years after 1985, can be modeled by the following equation.

$N(t) = N(0)(1+r)^{t}$

And which N(0) is the number of subscribers in 1985 and r is the rate it increases per year, as a decimal.

In 1985, there were 285 cell phone subscribers in Arlington.

This means that $N(0) = 285$

The number of subscribers increased by 75% per year since 1985.

This means that $r = 0.75$

$N(t) = 285(1.75)^{t}$

Find the number of subscribers in 2008.

2008 is 2008-1985 = 23 years after 1985. So we have to find N(23).

$N(23) = 285(1.75)^{23} = 110,845,988$

The number of subscribers in 2008 is 110,845,988

8 0

2 years ago

En la división sintética sólo son tomados en cuenta los coeficientes del divisor?

Airida [17]

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3 será el numerador

x - 2 será el denominador.

Para poder aplicar la división sintetica, el maximo exponente en el denominador debe ser uno.

Así, nuestro cociente es:

$\frac{x^3 - 2x^2 + 5x + 3}{x-2}$

Procedemos a igualar el denominador a cero:

x - 2 = 0

x = 2

Ahora veremos los coeficientes del numerador (el numerador es el divisor).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

5 + 0 = 5

Multiplicamos esto por el valor de x, que es 2:

5*2 = 10

Sumamos esto al ultimo coeficiente, que es 3.

10 + 3 = 13

Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

1*x^2 + 0*x + 10 = x^2 + 10

Como vimos, solo usamos los coeficientes del numerador/divisor para realizar esta operación, por lo que si, solo los coeficientes del divisor son tomados en cuenta.

Si quieres aprender más, puedes leer:

brainly.com/question/10466403

3 0

2 years ago