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3 years ago

What is the slope of the line containing the points (5,4) and (5,-3)?

1 answer:

3 0

We find the slope by subtracting the y-coordinates over the x-coordinates to get: (4-(-3))/(5-5) = 7/0, which is, by definition undefined. The slope of this line is undefined, but these two points do make a vertical line.
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Hope this helps!

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What is the greatest common factor of 28x²y-7xy^5?

Alchen [17]

The greatest common factor of this can be solved by looking at the individual parts and splitting it up.

First, we have 28 and 7. Well, thats an easy one. 7 goes into 28 4 times so we are now left with 4 and 1.

We can also write the rest of this like this 4(x*x*y) - 1(x*y*y*y*y*y)

Now, what values are in both equations. We have one x and one y that can be taken out of both.

We end up with 7xy(4x-7y^4)

3 0

3 years ago

Read 2 more answers

30 points! please help!

stiks02 [169]

Answer:

Therefore

15.

$25c^{2}-9$

16.

$(y+8)(y+1)$

17.

$(x-3y)(x-7y)$

Step-by-step explanation:

15.

$(5c^{2} +3)(5c^{2}-3)$

Using the Identity (a + b)(a - b) = (a² - b²) we get

Consider here a = 5c and b = 3 then we will have

$((5c)^{2} -(3)^{2})=25c^{2}-9$ .....as required

16.

$y^{2}+9y+8$

Here Factorize 8 such that sum up to be 9

∴ 8 × 1 = 8 and 8 + 1 =9

$y^{2}+9y+8\\y^{2}+8y+y+8\\y(y+8)+1(y+8)\\(y+8)(y+1)$ ... as required

17.

$x^{2}-10xy+21y^{2}$

Here Factorize 21 such that sum up to be -10

∴ -3 × -7 = + 21 and -3 - 7 = - 10

$x^{2}-10xy+21y^{2}\\x^{2}-3xy-7xy+21y^{2}\\x(x-3y)-7y(x-3y)\\(x-3y)(x-7y)$ ........as required

Therefore

15.

$25c^{2}-9$

16.

$(y+8)(y+1)$

17.

$(x-3y)(x-7y)$

4 0

3 years ago

Read 2 more answers

What type of angle is this

Kobotan [32]

Answer:

Straight

Step-by-step explanation:

If the angle is flat or 180 degrees, it is straight

If the angle is like an L or 90 degrees, it is right

If the angle is less than 90 degrees, it is acute

If the angle is more than 90 degrees, it is obtuse

Hope this helps!!

6 0

3 years ago

Read 2 more answers

Jerry took a sample of 4 employees in his office and observed how many hours they each worked one day.

Illusion [34]

The error in Jerry's calculation is 4.84

The number of employees, N = 4

The mean is calculated as:

$\mu = \frac{10+2+4+8}{4} \\\mu = \frac{24}{4} \\\mu = 6$

The formula for the standard deviation is:

$SD =\sqrt{\frac{\sum{(x-\mu)^2}}{N} }$

This can be further calculated as:

$SD = \sqrt{\frac{(10-6)^2+(2-6)^2+(4-6)^2+(8-6)^2}{4} }\\\\SD = \sqrt{\frac{4^2+(-4)^2+(-2)^2+(2)^2}{4} } \\\\SD = \sqrt{\frac{16+16+4+4}{4} } \\\\SD = \sqrt{\frac{40}{4} } \\\\SD = \sqrt{10} \\\\SD = 3.16$