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3 years ago

What is the gradient of the line 3y=2x-6

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

Answer:

2/3

Step-by-step explanation:

The gradient of any line in standard form, Ax + By = C is -A/B.

Divide each term by 3 and simplify.

3y = 2x - 6

3y / 3 = y

2x / 3 = 2/3x

6 / 3 = 2

So, y = 2 / 3 x - 2

slope or gradient = 2/3

Explanation:

The first step in finding the slope of a line that is written in standard form is to write the equation in slope-intercept form, y=mx+b. To do this, rearrange the variables. The standard form, Ax + By = C can be rewritten as By = -Ax + C.

Divide by B to simplify

In the equation By = -Ax + C, B needs to be distributed through the equation. To do this, divide both sides by B. The answer is y = (-A/B)x + C/B.

Find the slope

Once the equation of the line is in slope-intercept form and is simplified, then the slope equals the term in front of the x variable. In the standard form from step 2, the slope is -A/B.

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3 years ago

27-4(26-2×3)to the 2nd power

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3 years ago

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Then calculate the difference (-6-6)

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Now divide both sides by 4

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Then you are left with your answer:

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Hope this helps! :3

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3 years ago

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Leno4ka [110]

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1 year ago

Calculate the value of (6.72 10^5)+ (3.2 x 10^4) Give your answer in standard form.

dangina [55]

Answer:

$7.04\cdot 10^{5}$ or 704,000

Step-by-step explanation:

Standard Form of Numbers

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}$