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2 years ago

-4x + 2y = -8 in slope interception form (y= mx + b )

Mathematics

2 answers:

Nostrana [21]2 years ago

4 0

Answer:

y=2x-4

Step-by-step explanation:

so we just have to rearrange this to

2y=4x-8

we can do this by adding 4x to both sides

then we divide by 2

y=2x-4

denis23 [38]2 years ago

4 0

Answer:

y=2x-4

Step-by-step explanation:

1. Add 4x to both sides

2. Divide both sides by 2

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The cost of a layer cake is $17 plus $5 per layer. If Paul has only $30 to spend on a cake, what is the most number of layers he

VikaD [51]

Answer:

The most number of layers he can afford is 2

Step-by-step explanation:

We automatically have a fee of 17 so we know we have 13 dollars remaining. Using this information, we know that one layer is 5 dollars which means we can get 2 layers which is equal to 10 dollars which turns our total fee to $27. Hope this helps!

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3 years ago

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The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar

mafiozo [28]

Answer:

$Ratio = \frac{R^2 - r^2 }{ r^2}$

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

$Area = \frac{\theta}{360}\pi r^2$

For the inner circle

$r \to radius$

The sector of the inner circle has the following area

$A_1 = \frac{\theta}{360}\pi r^2$

For the whole circle

$R \to Radius$

The sector of the outer sector has the following area

$A_2 = \frac{\theta}{360}\pi (R^2 - r^2)$

So, the ratio of the outer sector to the inner sector is:

$Ratio = A_2 : A_1$

$Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2$

Cancel out common factor

$Ratio = R^2 - r^2 : r^2$

Express as fraction

$Ratio = \frac{R^2 - r^2 }{ r^2}$

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2 years ago

If you know anything about combining equations, specifically subtracting, can you please help me :)

Rufina [12.5K]

Answer:

5x - 2y = -2

Step-by-step explanation:

When subtracting one equation from the other, we are essentially just subtracting the left side of the second equation from the left side of the first equation and doing the same thing with the two right sides.

Here, we are subtracting (-7x + 3y) from (-2x + y):

(-2x + y) - (-7x + 3y)

Let's get rid of these parentheses. Remember that when we have a subtraction sign before a parentheses, we need to distribute a -1 to each term within those parentheses:

(-2x + y) - (-7x + 3y) = -2x + y + 7x - 3y = -2x + 7x + y - 3y = 5x - 2y

Now on the right side, we're subtracting 2 from 0:

0 - 2 = -2

Put it all together:

5x - 2y = -2

Hope this helps!

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2 years ago

Read 2 more answers

Solve 3x + 7 > -x - 9. Show each step of your work.

Kruka [31]

Answer:

x > -4

Step-by-step explanation:

Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:

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4x > -16

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In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.

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2 years ago

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wlad13 [49]

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