Find the slope of the line through the given points. 1. (-4,-3) and (7, 1)

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

8 0

Answer:

4/11

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

= ( 1 - -3)/(7 - -4)

= (1+3)/(7+4)

= 4/11

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A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan

Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

$P = \rho gh$

So the force generated by water pressure on the side of the tank is

$F = PA = \rho ghs/2$

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

$\rho ghs/2 \leq 200$

$62.4*32.2*h*6/2 \leq 200$

$h \leq 0.033 ft$

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3 years ago

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