True or false two lines meet at exactly two points

Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

Solution:

The distance is given by formula:

$distance = speed \times time$

Ton travels at 8 feet per second

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

Bob travels at 10 feet per second

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3>Method 2:</h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

4 years ago

Algebraically solve the inequality: 5x-6>/1+2(4x+1)

elena-14-01-66 [18.8K]

Answer:

x<-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0

4 years ago

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line se

Anna35 [415]

The coordinates of the point P on the directed line segment from A to B such that P is one-fourth the length of the line segment is P(x, y) = (- 2.75, - 0.5). (Right choice: C)

<h3>How to determine the coordinates of a point within a line segment</h3>

By geometry we remind that a line segment can be constructed from two distinct points on a plane. By linear algebra we can obtain an equation to determine the coordinates of a point within a line segment:

$\vec P = \vec A + k \cdot \overrightarrow{AB}$ (1)

Where:

$\vec A$ - Coordinates of the point A.
$\vec P$ - Coordinates of the point P.
$\overrightarrow {AB}$ - Vectors between points A and B.
$k$ - Length factor

If we know that A(x, y) = (- 5, - 1), B(x, y) = (4, 1) and k = 0.25, then the coordinates of the point P are:

P(x, y) = (- 5, - 1) + 0.25 · [(4, 1) - (- 5, - 1)]

P(x, y) = (- 5, - 1) + 0.25 · (9, 2)

P(x, y) = (- 5, - 1) + (2.25, 0.5)

P(x, y) = (- 2.75, - 0.5)

The coordinates of the point P on the directed line segment from A to B such that P is one-fourth the length of the line segment is P(x, y) = (- 2.75, - 0.5). (Right choice: C)

To learn more on line segments: brainly.com/question/25727583

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8 0

2 years ago

How many tens do you need to make 204

Luba_88 [7]

20 hundreds and 4 ones
Please, THANKS!

4 0

3 years ago

Read 2 more answers

The school decided to raise the price of

Doss [256]