A line includes the points (5, 3) and (6, 5). What is its equation in slope-intercept form?

Mathematics

1 answer:

Viktor [21]2 years ago

5 0

Answer: m= 2

Step-by-step explanation:

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Consider a water pipe that branches into two smaller pipes. If the flow of water is 10 L/min in the main pipe and 4 L/min in one

masha68 [24]

The water flows 6 liters per minute in the other branch of pipe.

Step-by-step explanation:

Given,

Flow of water in main pipe = 10L/min

Flow of water in one branch = 4L/min

Flow of water in other branch = x

Flow of water in main pipe = Flow in one branch + Flow in other branch

$10=4+x\\10-4=x\\6=x\\x=6$

The water flows 6 liters per minute in the other branch of pipe.

4 0

3 years ago

The diagram shows a 5 cm x 5 cm x 5 cm cube.

mylen [45]

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

$\sqrt{a^2+b^2}$

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

$\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}$

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths $a_1, a_2, a_3, \ldots, a_n$ is