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3 years ago

5/12 as a whole number

Mathematics

2 answers:

artcher [175]3 years ago

7 0

Answer:

when we convert 5/12 as whole number we get 0.41666666666

My name is Ann [436]3 years ago

3 0

Answer:

the answer is 0.41666666666

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A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?

malfutka [58]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

Step-by-step explanation:

Given the points

(-39,49)

(0,0)

Finding the slope between the points using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)$

$m=\frac{0-49}{0-\left(-39\right)}$

$m=-\frac{49}{39}$

We know that the point-slope of the line equation is

$y-y_1=m\left(x-x_1\right)$

substituting $m=-\frac{49}{39}$ and (-39,49) in the equation

$y-y_1=m\left(x-x_1\right)$

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

Now writing the equation in slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

$y-49=\frac{-49}{39}\left(x+39\right)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y-49=-\frac{49}{39}\left(x+39\right)$

$\mathrm{Add\:}49\mathrm{\:to\:both\:sides}$

$y-49+49=-\frac{49}{39}\left(x+39\right)+49$

$y=-\frac{49}{39}x+0$ ∵ $y=mx+b$

Where

$m=-\frac{49}{39}$ and the y-intercept i.e. $b=0$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

5 0

3 years ago

in the circle, m∠S=33°, mRS=120, and RU is a tangent. the diagram is not drawn to scale. what is m∠U? Please help!

SIZIF [17.4K]

Answer:

27°

Step-by-step explanation:

arc RT = 66

1/2(120 - 66) = 27

8 0

4 years ago

Read 2 more answers

2. En la ciudad de Quito, en la temporada fría, se registran temperaturas que van desde los 5 °C hasta los 18 °C. En la temporad

natulia [17]

Answer:

(See explanation below for further detail/Véase la explicación abajo para mayores detalles)

Step-by-step explanation:

(This exercise is written in Spanish and explanations will be held in such language)

a) Las temperaturas quedan representadas a continuación:

Quito - Temporada Fría

Intervalo

$5 ^{\circ}C \leq t \leq 18^{\circ}C$ (Este intervalo indica si el dato puede pertenecer a la temporada fría)

Conjunto

$C = \{\forall t \in \mathbb {R}| 5 \leq t \leq 18\}$ (Este conjunto acumula todo el registro de las temperaturas de la temporada fría)

Quito - Temporada Cálida

Intervalo

$4 ^{\circ}C \leq t \leq 30^{\circ}C$ (Este intervalo indica si el dato puede pertenecer a la temporada cálida)

Conjunto

$H = \{\forall t \in \mathbb {R}| 4 \leq t \leq 30\}$ (Este conjunto acumula todo el registro de las temperaturas de la temporada cálida)

b) La temperatura de la ciudad de Quito pertenece esencialmente a dos intervalos:

Intervalo de Temporada Fría:

$5 ^{\circ}C \leq t \leq 18^{\circ}C$

Intervalo de Temporada Cálida:

$4 ^{\circ}C \leq t \leq 30^{\circ}C$

c) Toda temperatura mayor o igual que 4 °C y menor o igual que 30 °C.

d) Temperaturas mayores o iguales a 5 °C y menores o iguales a 18 °C.

e) Temperaturas mayores o iguales a 4 °C y menores o iguales a 30 °C.

6 0

4 years ago

Select the correct answer from each drop-down menu.

Anettt [7]

y = -3/5(x-3)

y= (-3/5) x + 9/5

Step-by-step explanation:

Step 1 :

The equation of line in point and slope form is (y- y intercept) = m(x-x intercept)

Where m represents the slope and x1 and y1 are points on the line.

Given (-2,3) and (3,0) are points on the line

m = (y2-y1)/(x2-x1) = (0-3)/(3-(-2)) = -3/5

So the equation of the line in point slope form is

(y-0)= -3/5(x-3) = y = -3/5(x-3) [taking the point as (3,0)]

Step 2 :

The equation of a line in slope and intercept form is y = m x +c

m denotes the slope and the constant c denotes the y intercept (the value of intercept in the y axis when x = 0)

when x = 0, y = 9/5 [using the equation in step 1]

Hence the equation in slope and intercept form is

y= (-3/5) x + 9/5

7 0

3 years ago

John deposited $2860 in a bank that pays 9% interest, compounded monthly. Find the amount he will have at the end of 3 years.

kati45 [8]

Please see figure for the answer.

3 0

3 years ago

Read 2 more answers