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3 years ago

A given line has the equation 10x+2y=-2.

Mathematics

2 answers:

OLEGan [10]3 years ago

8 0

Answer:

Option 1 - $y=-5x+12$

Step-by-step explanation:

Given : A given line has the equation $10x+2y=-2$

To find : What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

Solution :

The slope intercept form is $y=mx+c$

where, m is the slope and c is the y-intercept.

Writing given equation in slope intercept form,

Equation $10x+2y=-2$

Take x to another side,

$2y=-10x-2$

Divide both side by 2,

$y=-5x-1$

The slope intercept form of the equation is $y=-5x-1$

Where, m=-5 is the slope and c=-1 is the y-intercept.

When two lines are parallel their slopes are equal i.e. $m_1=m_2$

Let the equation be $y=mx+c$

As lines are parallel then m=-5

We have given lines passes through point (0,12).

Substitute in equation,

$12=-5(0)+c$

$c=12$

Substitute back in equation,

$y=-5x+12$

Therefore, The required equation is $y=-5x+12$

So, Option 1 is correct.

Karolina [17]3 years ago

4 0

Answer:

5x+y=12

Step-by-step explanation:

10x+2y=-2=5x+y=12

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If we convert the given in its mathematical form, we have,

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Cancellation of the common terms will give us an answer of,

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Therefore, the simplified version of the involved operation is 5x²/2y³.

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3 years ago

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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4 years ago

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Arte-miy333 [17]

Question:

The digit 8 in which number represents a value of 8 thousandths?

Answer:

See Explanation

Step-by-step explanation:

The question requires options and the options are missing.

However, the following explanation will guide you

Start by representing 8 thousandths as a digit

$\frac{8}{1000} = 0.008$

i.e.

8 thousandths implies 0.008

Next;

Replace the 0s with dashes

_ . _ _8

Note that there are two dashes after the decimal point and before 8

PS: The dashes are used to represent digits

This implies that thousandths is the 3rd digit after the decimal point

Typical examples to back up this explanation are:

17.008, 1.1489, 0.008 and so on...

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