What is the value of X in this proportion? (image of the proportion included)
What is the value of X in this proportion? (image - 1

Answers

Answer 1
Answer: X = 5
4x/50 = 2/x  take 4x and multiply it by the denominator in the other fraction it = 4x^2 do the same for the 2 &50 you get 100 now you have 4x^2=100 take the 4 divide it on both sides so 4/4=0 and 4/100=25 now you have 
x^2=25 find the square root of 25= (5) so X=5
Answer 2
Answer: u have to cross multiply. (multiply 4x by x and 50 by 2)

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-6x-14y=16 and -2x+7y=17 solve by elimination show the work

Answers

Answer:

(- 5, 1 )

Step-by-step explanation:

- 6x - 14y = 16 → (1)

- 2x + 7y = 17 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term

6x - 21y = - 51 → (3)

Add (1) and (3) term by term to eliminate x

0 - 35y = - 35

- 35y = - 35 ( divide both sides by - 35 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

- 6x - 14(1) = 16

- 6x - 14 = 16 ( add 14 to both sides )

- 6x = 30 ( divide both sides by - 6 )

x = - 5

solution is (- 5, 1 )

The distance from Earth to the Moon is approximately 240,000 mi.. The speed of light is 3.00 * 10^8 m/s. How long does it take for light to travel from Earth to the Moon and back again?. Please Show work.

Answers

First we have to convert miles to meters:
1 mile ≈ 1,609.34 m
Time of traveling one way:
t = (240,000 * 1,609.34m)/(3.00*10^(8)m/s ) = \n = (8*10 ^(4) *1,609.34s)/(10 ^(8) ) = (8*1,609.34 s)/(10,000) = 1.28 s
From Earth to the Moon and back time is:   2 · 1.28 s = 2.56 s
 

Of all the species in the world 4, out of every 5 are insects. What percentage of species are insects

Answers

If 4/5 are insects, 8/10, or .8, of the species are insects.  To find a percentage, multiply by 100 to find that 80% of the species are insects.

Answer:

80%

Step-by-step explanation:

khan academy lol

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.12 - 8x^2 + x^4 = 0

A) (x2 - 4)2 = -4

B) (x2 - 4)2 = 4

C) (x2 - 2)2 = -4

D) (x2 - 2)2 = 4

Answers

                             x⁴ - 8x² = 0
                     x⁴ - 8x² + 16 = 0 + 16
             x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
           x²(x² - 4) - 4(x² - 4) = 16
                   (x² - 4)(x² - 4) = 16 
                            (x² - 4)² = 16

The answer is B.

Which of the following are vertical asymptotes of the function y = 3cot(1/2x) - 4?

Answers

A vertical asymptote is a line that the graph of the function does not cross.
If: \lim_(x \to a) 3 cot (1/2 x)-4 =  +/- ∞
then the line x = a is a vertical asymptote.
For x = 0:
f ( 0 ) = 3 * cot 0 - 4 = ∞
For x = +/- 2 π :
f ( 2 π ) =  3 * cot π - 4 = - ∞
Answer:
A ) x = 0  and C ) x = +/- 2π

Answer:

x=0 or ±2 nπ where n belongs to natural numbers.

Step-by-step explanation:

The " vertical asymptote " is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptotes of a rational function we set denominator=0.

We are given function y=3 cot((1/2)x)-4

which could also be written as y=3*(cos((1/2)x))/(sin((1/2)x)) -4\n\ny=(3 cos((1/2)x)-4 sin((1/2)x))/(sin((1/2)x))

for denominator to be equal to 0 we must have sin((1/2)x)=0

⇒ (1/2)x=0

⇒   x=0 or ±2 nπ where n belongs to natural numbers.

Hence, the vertical asymptotes of the given function is  x=0 or ±2 nπ where n belongs to natural numbers.


How to solve x-y=102x-y=17

Answers

Is the equation x-y=10 and 2x-y=17?

Isolate the Y getting:
2x-17=y and x-10=y

Then bring the two equations together. Sub in the one equation for y.
2x-17 = x-10


The answer for x would be 7 (X=7)

Then pick an equation and sub in 7 for x to get your Y.

x-y=10
7-y=10
Subtract 7
-y=3
Divide the -1 from the y (Hopefully you learned why there's a 1 there)
y=-3

Answer is X=7 and Y=-3 or (7, -3)