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lilavasa [31]
3 years ago
13

Find the equation of the line. Use exact numbers. y

Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

y = 1/2x - 3

Step-by-step explanation:

Step 1: Find slope

m = (-3-0)/(0-6)

m = 1/2

Step 2: Write in y-int (0, 3)

y = 1/2x - 3

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Arun took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4 plus $4.25 per mile. The total fare
Natasha2012 [34]

Here we must write and solve a linear equation to find the number of miles that Arun traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Arun traveled 11 miles in the taxi.

5 0
2 years ago
Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he ne
DENIUS [597]

You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

A=2\pi rh

Where

A is the area

π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14

r is the radius

h is the height of the cylinder

The given cylinder has a height of h=15m and a diameter of d=6m

To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

\begin{gathered} r=\frac{d}{2} \\ r=\frac{6}{2} \\ r=3 \end{gathered}

Now you can calculate the lateral area as follows:

\begin{gathered} A=2\pi rh \\ A=2\cdot3.14\cdot3\cdot15 \\ A=282.6m^2 \end{gathered}

Charlie will need 282.6 m² to cover the lateral side of the cylinder.

6 0
1 year ago
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
BaLLatris [955]

Answer:

6, 10, 8

Step-by-step explanation:

aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4

a₅= -2

a₆= 0

-----------

aₙ₋₂= aₙ₋₁ - aₙ + 4

  • a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2
  • a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8
  • a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10
  • a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6

The first 3 terms: 6, 10 and 8

4 0
3 years ago
Area Pls Tyyyyyyyyyyyyyyyyyyyyyyyyy
Serjik [45]

Answer:

240 meters^2

Step-by-step explanation:

Area of a triangle is 1/2b*h. (b=base, h=height). To solve you plug in the values 30 as b and 16 as h and then multiply to get 240.

3 0
3 years ago
Read 2 more answers
Y = (4x^3 +8)^1/3/(x+2)^5
WITCHER [35]

Answer:

y=4

Step-by-step explanation:

7 0
3 years ago
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