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3 years ago

The equation of line r is 4x-2y =6, and the equation of line a is x+2y=14. Which statement about the two lines is true?

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

3 0

Answer:

What are the statements?

Step-by-step explanation:

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What is the answer to -3(1+6r)=14-r

Ilia_Sergeevich [38]

<span>-3(1+6r)=14-r
-3 - 18r = 14 - r ...expand by using distributive property
-3 -17r = 14 ...add (r) to both sides
-17r = 17 ...add (3) to both sides
r = -1 ....divide both sides by (-17)</span>

5 0

3 years ago

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Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000

jolli1 [7]

Answer:

The population of town after 1 year is 25,750 .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

The initial population of town = 25,000

Let the population of town after one year = x

So,

The population after n year = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm n}$

Or, The population after 1 year = 25,000 × $(1+\dfrac{\textrm 3}{100})^{\textrm 1}$

Or, The population after 1 year = 25,000 × $(1.03)^{1}$

Or, The population after 1 year = 25,000 × 1.03

∴ The population after 1 year = 25,750

Hence The population of town after 1 year is 25,750 . Answer

3 0

4 years ago

Which of the following is true of the location of the terminal side of an angle, Theta, whose sine value is One-half?

FinnZ [79.3K]

Answer:

Theta has a reference angle of 30° and is in Quadrant I or II

Step-by-step explanation:

Sin(theta) = ½

Basic angle: 30

Angles:

30,

180-30 = 150

Because sin is positive in quadrants 1 and 2

6 0

3 years ago

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Sumi rides at a constant speed of 10 ft/s. Write an equation that expresses the distance d that sumi has traveled as a function

Shtirlitz [24]

Answer:

d = 10s

Step-by-step explanation:

The formula for calculating the speed of Sumi is expressed as;

Speed = distance/time

Given

Speed = 10ft/s

time = s seconds

Required

Distance travelled as a function of time;

from the formula;

Distance = Speed * time

Distance = 10 * s

d = 10s

Hence the equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike is;

d = 10s

3 0

3 years ago

What would be the answer???

nignag [31]

Answer:

120

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

2t+t+2t+t = 360

6t = 360

Divide by 6

6t/6 = 360/6

t = 60

Angle Z = 2t

Angle Z = 2*60 = 120

7 0

4 years ago

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