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3 years ago

The segments shown below could form a triangle:9, 7, and 16A. TrueB. False

Mathematics

1 answer:

Setler [38]3 years ago

3 0

Not it’s False the top of the lane would be to short for triangle

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(4x-3)÷(2x+3) + (3+2x)÷(3x^2) =2<br> so what can x not be

Rudik [331]

Remember that if an x=value makes a denominator 0, the entire equation is undefined.

$\frac{4x-3}{2x+3}+\frac{3+2x}{3x^{2}}=2\\\\2x+3=0\\\\2x=-3\\\\x=\frac{-3}{2}\\\\\\3x^{2}=0\\\\x^{2}=0\\\\x=0$

So whenever x = -3/2 or x = 0 the equation is undefined, and that means that x cannot be -3/2 or 0.

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3 years ago

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3 years ago

Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile

Eddi Din [679]

Answer:

The speed of one plane = 257.5 miles per hour

And speed of second plane = 332.5 miles per hour

Step-by-step explanation:

We have given,

Distance between two cities = 960 miles

Two planes are flying towards each other.

Let the speed of one plane be x.

Then,

Speed of second plane = x+75 {Following this "one of the planes' speed exceeds the other by 75 mph"]

After 1.5 hours they are still 75 miles apart.

i.e Relative distance between two planes = Relative speed of plane × Time

Here

relative speed = x + (x+75) , and relative distance left to cover = 960-75.

i.e

(960 - 75) = {x+(x+75)}×1.5

885 = (2x+75)×1.5

or $\frac{885}{1.5} =2x+75$

or 590-75 = 2x

or 515 = 2x

or x = $\frac{515}{2}$ = 257.5

Hence the speed of one plane = x = 257.5 miles per hour

And speed of second plane = (x+75) = 257.5 + 75 = 332.5 miles per hour

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3 years ago