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3 years ago

HELP NEED some help! What is the slope of AB

Mathematics

2 answers:

babunello [35]3 years ago

8 0

Answer:

slope of line =y2-y1/ x2-x1

according to the given figure.

y is 3

and x Is 5

then, slope of AB= Y/X

slope of AB=3/5

Gekata [30.6K]3 years ago

4 0

Slope of ab =3/5!!!!

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If <img src="https://tex.z-dn.net/?f=%5Crm%20%5C%3A%20x%20%3D%20log_%7Ba%7D%28bc%29" id="TexFormula1" title="\rm \: x = log_{a}(

timama [110]

Use the change-of-basis identity,

$\log_x(y) = \dfrac{\ln(y)}{\ln(x)}$

to write

$xyz = \log_a(bc) \log_b(ac) \log_c(ab) = \dfrac{\ln(bc) \ln(ac) \ln(ab)}{\ln(a) \ln(b) \ln(c)}$

Use the product-to-sum identity,

$\log_x(yz) = \log_x(y) + \log_x(z)$

to write

$xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}$

Redistribute the factors on the left side as

$xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}$

and simplify to

$xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)$

Now expand the right side:

$xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}$

Simplify and rewrite using the logarithm properties mentioned earlier.

$xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} + \dfrac{\ln(a)}{\ln(b)} + \dfrac{\ln(c)}{\ln(a)} + \dfrac{\ln(b)}{\ln(c)} + 1$

$xyz = 2 + \dfrac{\ln(c)+\ln(a)}{\ln(b)} + \dfrac{\ln(a)+\ln(b)}{\ln(c)} + \dfrac{\ln(b)+\ln(c)}{\ln(a)}$

$xyz = 2 + \dfrac{\ln(ac)}{\ln(b)} + \dfrac{\ln(ab)}{\ln(c)} + \dfrac{\ln(bc)}{\ln(a)}$

$xyz = 2 + \log_b(ac) + \log_c(ab) + \log_a(bc)$

$\implies \boxed{xyz = x + y + z + 2}$

(C)

6 0

2 years ago

Which equation represents the situation Please help me

Virty [35]

100 dollars should be a one time fee so that has to be added to the equation, and since it is a one time fee it should not have a variable next to it.

It also says that you have to pay 720 dollars per month, so it has to have a variable next to it to show the number of months that she needs to pay that amount of money.

The answer should be D.

y= 720x +100

4 0

3 years ago

Read 2 more answers

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. (−5,−4) and

Reil [10]

Slope of a line parallel is equal to change in y over change in x: which is 9/8, or 1.125. A line perpendicular is the negative reciprocal, which is -8/9.

6 0

3 years ago

You have saved $14,000 for a down payment on a house. Your bank requires a minimum down payment of 15%. What is the maximum pric

8_murik_8 [283]

$93,333.33

14,000 is 15% of above figure

5 0

3 years ago

What is the common number of 5,4,100,1

cestrela7 [59]

Answer:

Step-by-step explanation:

These number can be de composed in primer factors as it is shown:

100=5*5*2*2*1

5=5*1

4=2*2*1

1=1

Where we can see that the only common number is 1

6 0

3 years ago