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3 years ago

Ac=22 BC= x+41 and AB = x + 10 find x

1 answer:

7 0

Draw the figure out and you will find that AB + BC = AC. Given this, put the equations together to form x+41+x+10=22. Solve to get x=-29/2

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Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking

Alenkinab [10]

Answer:

1.96 planes

Step-by-step explanation:

The computation of the number of planes is shown below:

As we know that

System Inventory is

= Flow rate in the system × Throughput time

where,

Flow rate is

= Frequency of taken off

= 16 planes ÷ hour

= 16 ÷ 60 Planes per minute

Throughput time is

= runway waiting time + runway Run time

= 33 seconds + 6 minutes × 60 seconds + 48 seconds

= 441 seconds

= 441 per 60 seconds

Therefore the number of planes is

$= \frac{441}{60} \times \frac{16}{60}$

= 1.96 planes

4 0

2 years ago

Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?

Murrr4er [49]

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3) Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂) <--- Point-slope formula

(3 - 4) = m(1 - 2) <--- Plug in "x" and "y" values from points

-1 = -m <--- Simplify inside parentheses

1 = m <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3) m = 1

y = mx + b <--- Slope-intercept formula

3 = 1(1) + b <--- Plug in values from point and slope (m)

3 = 1 + b <--- Multiply slope and "x" value

2 = b <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

7 0

1 year ago

Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x - 4, y + 4) A) J'(1, 0

Colt1911 [192]

Answer:

Step-by-step explanation:

6 0

2 years ago

Solve the following equation for W: 5(w-2)+10=3(2w-9)+5

storchak [24]

Answer:

w=22

Step-by-step explanation:

5(w-2)+10=3(2w-9)+5

1) Use the Distributive Property for 5(w-2) and 3(2w-9):

5w-10+10=6w-27+5

2) Combine alike terms:

5w=6w-22

3) Add a 22 to both sides:

22+5w=6w

4)Subtract 5w from both sides:

w=22

5 0

3 years ago

Use the list method to write "The odd integers between 2 and 15". {2, 3, 5, 7, 9, 11, 13, 15} {3, 5, 7, 9, 11, 13} {3, 5, 7, 9,

Sladkaya [172]

The answer would be {3, 5, 7, 9, 11, 13, 15}.

6 0

2 years ago