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3 years ago

Use a graphing calculator to solve (1/4) ^ x+2 = 6:

Mathematics

1 answer:

ANTONII [103]3 years ago

3 0

Answer:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x = − 2 − ln ( 6 )/ ln ( 4 )

Decimal Form:

x = −3.29248125 …

Hope this helps!

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Identify the domain of the graph.

Viktor [21]

Answer:

Domain is 0 to 50.

Step-by-step explanation:

$0 \leq x \leq 50$

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3 years ago

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Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of

alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

- The standard form of the linear equation is Ax + BC = C, where

A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

parallel bases and which of them are the non-parallel bases

# The side RS

∵ $m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}$

# The side ST

∵ $m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}$

# The side TU

∵ $m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}$

# The side UR

∵ $m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}$

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

∵ The midpoint of RS = $(\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})$

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

midpoint of RS

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

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3 years ago

Mike has a net spendable income of $1,400. He decides to set up a budget before looking for an apartment or a car. He sets up hi

Shtirlitz [24]

C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.

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Compare and contrast a rhombus to a square. Make sure to address items such as sides and angles HELP PLZ!!!

Sauron [17]

<span>Rectangles have a couple of properties that help distinguish them from other parallelograms. By studying these properties, we will be able to differentiate between various types of parallelograms and classify them more specifically. Keep in mind that all of the figures in this section share properties of parallelograms. That is, they all have</span>

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3 years ago

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Por una falda que costaba 50 € Adela apagado en las rebajas 45 ¿Qué tanto por ciento de rebaja tenía la falda

Sliva [168]

Answer:

El porcentaje de descuento fue del 10%.

Step-by-step explanation:

Para encontrar el porcentaje de descuento, puedes calcular la variación entre los dos precios ya que este será el porcentaje aplicado. Para hacerlo debes calcular la diferencia entre los dos precios restando el precio final menos el precio original y luego, debes dividir este resultado entre el precio original y multiplicar por 100:

Precio original=50

Precio final=45

((45-50)/50)*100

(-5/50)*100=-0.1*100=-10%

De acuerdo a esto, la respuesta es que el porcentaje de descuento fue del 10%.

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2 years ago