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3 years ago

11

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

2 answers:

vagabundo [1.1K]3 years ago

7 0

Answer:

y is also doubled.

Step-by-step explanation:

Direct proportionality between $x$ and $y$ means that

$y \propto x$

or

$y=cx$ ,

which indicates a linear relationship between $x$ and $y$ because they are related by a constant.

Therefore, if x is doubled, then the new value of $y$ is $y_{new}$

$y_{new}=c(2x)$

$y_{new}=2(cx)$

$y_{new}=2y$

The new value of $y$ is 2 times the previous; therefore, $y$ is doubled as $x$ is doubled.

zzz [600]3 years ago

5 0

Answer:

It is doubled.

Step-by-step explanation:

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

It is doubled.

I got it correct I took a screen shot I got it right.

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

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3 years ago