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2 years ago

PLEASE ANSWER QUICKLY

Mathematics

1 answer:

wel2 years ago

6 0

Answer:

65 passengers

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Solve the equation x+3/x-4 = x-5/x+4

Serga [27]

Answer:

$\large\boxed{x=\dfrac{1}{2}}$

Step-by-step explanation:

$\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\\\\\text{Domain:}\ x-4\neq0\ \wedge\ x+4\neq0\\\\x\neq4\ \wedge\ x\neq-4\\\\D:x\in\mathbb{R}-\{-4,\ 4\}$

$\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\qquad\text{cross multiply}\\\\(x+3)(x+4)=(x-4)(x-5)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x)(x)+(x)(4)+(3)(x)+(3)(4)=(x)(x)+(x)(-5)+(-4)(x)+(-4)(-5)\\\\x^2+4x+3x+12=x^2-5x-4x+20\qquad\text{combine like terms}\\\\x^2+(4x+3x)+12=x^2+(-5x-4x)+20\\\\x^2+7x+12=x^2-9x+20\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\7x+12=-9x+20\qquad\text{subtract 12 from both sides}\\\\7x=-9x+8\qquad\text{add}\ 9x\ \text{to both sides}\\\\16x=8\qquad\text{divide both sides by 16}\\\\x=\dfrac{8}{16}\\\\x=\dfrac{8:8}{16:8}\\\\x=\dfrac{1}{2}\in D$

7 0

2 years ago

the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive intege

sdas [7]

Step-by-step explanation:

7+8+9=24

second integer is 8 so 8*3=24

3 0

2 years ago

HELP PLEASE! IMAGE ATTACHED

Misha Larkins [42]

Answer:

I cannot see the picture it just shows the image logo

Step-by-step explanation:

6 0

2 years ago

A chemist has 500 ml of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the gr

prohojiy [21]

Answer: The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

3 0

3 years ago

Need help will give you the brainliest

Alja [10]

Answer:

<BDC and

<CDB but be sure and read what is below.

Step-by-step explanation:

The trick is to put the letter for the angle in the middle of its 3 letter name.

<BDC is the same thing as <CDB

You have named it in 2 different ways. The letters on either end don't matter as much as having D in the middle.

8 0

2 years ago