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timama [110]
3 years ago
13

Write an equation for the line that has a y-intercept of 2 and is perpendicular to the line 3x + y = 6.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

The equation of the line would be y = 1/3x + 2

Step-by-step explanation:

To find this, we must first solve the original equation for y.

3x + y = 6

y = -3x + 6

This means the original slope is -3. Since the original slope is -3, we know that the perpendicular slope is 1/3. This is because perpendicular slopes are opposite and reciprocal.

Now we use the slope and the intercept in slope-intercept form to get the equation.

y = mx + b

y = 1/3x + 2

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A store has 1173 pairs of socks. the socks are sold in packs of 4 pairs. how many packs of socks can the store sell?
Nadusha1986 [10]

Answer:

293 packs is the maximum the store can sell.

Step-by-step explanation:

Determine the number of packs that can be made with 4 pairs of socks.

(1173 pairs)/(4 pairs/pack) = 293.25 packs

We can't sell 0.25 pack (1 pair of socks), so drop that fraction to yield 293 full packs.  Donate the spare pair, so to speak, to the local IRS agent.

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2 years ago
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worty [1.4K]

Answer:

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Step-by-step explanation:

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21/28+16/28=37/28

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3 years ago
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7 0
2 years ago
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How many solutions does the equation have?<br><br> 2x + 3 = 4x + 2
fenix001 [56]
Well, solve for x.

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

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