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3 years ago

Is y-2x=0 proportional?

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

Yes because it has 0 in it

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Instructions: Find the equation of the line through point (2, -1) and

Kazeer [188]

Answer:

$y = -\frac{2}{5}x -\frac{1}{5}$

Step-by-step explanation:

Given

Passes through: $(2,-1)$

Parallel to: $2x + 5y = 15$

Required

First, calculate the slope of the parallel line

$2x + 5y = 15$

Make y the subject

$5y = 15 - 2x$

Divide through by 5

$y = 3 - \frac{2}{5}x$

$y =- \frac{2}{5}x+3$

An equation in slope intercept has the form:

$y = mx + b$

Where:

m = slope

$y = mx + b$

So:

$m = -\frac{2}{5}$

The required is parallel to $2x + 5y = 15$ .

This mean, the same slope

The equation is the calculated using:

$y - y_1 = m(x - x_2)$

This gives:

$y - (-1) = -\frac{2}{5}(x - 2)$

$y +1 = -\frac{2}{5}x +\frac{2}{5}*2$

$y +1 = -\frac{2}{5}x +\frac{4}{5}$

$y = -\frac{2}{5}x +\frac{4}{5}-1$

Take LCM

$y = -\frac{2}{5}x +\frac{4-5}{5}$

$y = -\frac{2}{5}x -\frac{1}{5}$

i.e.

$y = -2/3x -1/5$

3 0

3 years ago

The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotie

adoni [48]

The statement that best interprets the quotient is "there are 6( 1/4 ) two - third in 4( 1/6 )".

In mathematics, the sum obtained by diluting two numbers is known as a quotient. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Any integer may be used as the larger number in a fraction, which is a number that represents a percentage of the larger number. It is shaped like a denominator and a numerator.

For step 1:

The shaded part is:

4 + 1/6 = 4(1/6) = 25/6

Now, dividing the shaded part by the unshaded part,

( 25/6 ) / ( 2/3 ) = ( 25/6 ) × ( 3/2 )

( 25/6 ) / ( 2/3 ) = 25/4

( 25/6 ) / ( 2/3 ) = 6( 1/4 )

Hence, there are 6( 1/4 ) two - third in 4( 1/6 ).

Learn more about fraction here:

brainly.com/question/17220365

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7 0