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3 years ago

Find the common factor out of -12+15x.

Mathematics

1 answer:

KiRa [710]3 years ago

4 0

It would be: -12 + 15x = 3(-4+5x)

So, after common factor out, your answer is 3(-4+5x)

Hope this helps!

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A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil

mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast $= \frac{\sqrt{(2^2 + x^2)}}{4}$

The time is taken to reach Q after reaching the coast $= \frac{\sqrt{(1 + (3-x)^2)}}{4}$

Total time, $T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+ \frac{\sqrt{(1 + (3-x)^2)}}{4}$

This has to be minimum,

$\to \frac{dt}{dx} = 0$

$\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16 \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\$

x=0.45385

6 0

3 years ago

What compatible can you divide 358divide by 3

jolli1 [7]

you can use 363 divide by 3 which is 121

6 0

4 years ago

Simplify the expression 5 + (15 + x). A. 5x + 20 B. x + 20 C. x + 5 D. x+ 15

allochka39001 [22]

Answer:

the answer is B

I hope you a good day!

3 0

3 years ago

Read 2 more answers

Please answer and explain

Nikolay [14]

Answer:

999

Step-by-step explanation:

5 0

3 years ago

Given m||n, find the value of x , please help me I don't understand , I'm stressed lol

Klio2033 [76]

Answer:

x = 2

Step-by-step explanation:

because m || n, you can assume the two angles are congruent.

set them equal to each other:

5x - 4 = 4x - 2

solve

add 4 to both sides: 5x + (-4 + 4) = 4x + (-2 + 4) --> 5x = 4x + 2

subtract 4x from both sides: (5x - 4x) = (4x - 4x) + 2 --> x = 2

3 0

3 years ago