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Savatey [412]
3 years ago
14

A line has a slope of zero

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

Horizontal Line

Step-by-step explanation:

Easy the line has the same Y all throughout it

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It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num
shutvik [7]

Answer:

A. y=-1.2x+59

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, y_{1}=59\textrm{ million}

Newspapers circulated in year 2014, y_{2}=47\textrm{ million}

Let the time x start at the year 2004. So, x_{1}=0

For the year 2014, x_{2}=2014-2004=10

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59

Therefore, the equation describing the relationship is: y=-1.2x+59

Part B:

For the year 2018, x=2018-2004=14

Plug in 14 for x in the above equation and solve for y. This gives,

y=-1.2(14)+59\\y=-16.8+59\\y=42.2

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0
3 years ago
A punch recipe calls for mixing 7 parts of cranberry juice with 4 parts of lemon juice. Find how much cranberry juice should be
Butoxors [25]

Answer:

Proportion- 1 to 21 or 1:21

Cranberry Juice- 147 ounces

Step-by-step explanation:

84/4 = 21

7*21 = 147

3 0
3 years ago
Given: ∆ABC, AC = 12,<br> AB = BC = 10<br> Find: m∠A, m∠C, m∠B
4vir4ik [10]

Answer:

  • m∠A ≈ 53.13°
  • m∠B ≈ 73.74°
  • m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

  m∠A = m∠C ≈ 53.13°

  m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

  Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

3 0
3 years ago
A project has each of the following characteristics except ____.
Brut [27]

Answer:

C. Low risk with a high profit potential or benefits.

Step-by-step explanation:

I hope this helps.

7 0
2 years ago
When graphing a linear inequality, what does a dashed boundary line indicate?
VLD [36.1K]
The dashed boundary line means that the solutions are not on the boundary line. It is used for < and >
8 0
3 years ago
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