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kolezko [41]
3 years ago
6

How do I find the slope of the line through (–9, –10) and (–2, –5)?

Mathematics
2 answers:
otez555 [7]3 years ago
8 0
Finding a slope in a number line is easy just  
Steps:
Identify two points on the line
Select one to be (x 1, y 1) and the other to be (x 2, y 2)
Use the slope the slope equation to calculate slope.
Thank you 
storchak [24]3 years ago
4 0
Answer:
slope of line is 5/7

Explanation:
The slope of the line can be calculated using the following rule:
slope = \frac{y2-y1}{x2-x1}

The given points are:
(-9,-10) which represent (x1,y1)
(-2,-5) which represent (x2,y2)

Substitute with the points in the above equation to get the slope as follows:
slope = \frac{-5-(-10)}{-2-(-9)} = 5/7

Hope this helps :)

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This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
Mekhanik [1.2K]

49^2m-m : Not equivalent

7^2m-2m : Not equivalent

7^2m-m : Not equivalent

This is actually a trick question. All of the following are actually false statements. Want to know why? Let me show you.

For exponents, if you are dividing a number to some power (i.e 5^3) by the SAME number to a different power (i.e 5^2), then the expression is 5^3-2 or 5^1 = 5. This is true for any number a such that a^b ÷ a^c = a^b-c.

Since 7 and 49 are not the same number, this rule does not apply and thus cannot be simplified any further.

Let me prove why. 5^3 = 125, and 5^2 = 25, and 125 ÷ 25 = 5. This is also the same as 5^3-2 = 5^1 = 5. We just proved this as so.

But, what about 7 and 49, or 2 different numbers. Well it doesn't apply. 7^3 = 343, and 49^2 = 2401, and 343 ÷ 2401 ≈ 0.14. Thus, this is NOT equal to 7^3-2 which is 7. We just proved that a^y ÷ b^z ≠ a^y-z. Congratulations!

Hope this helped!

7 0
1 year ago
Which equation represents g? (Photo attached)
Irina18 [472]

Answer:

D. g(x)=8x-15

Step-by-step explanation:

Given

g(x)= f(x-2)

f(x)=8x+1

Now Calculating f(x-2) by substituting value of x=x-2 in f(x) function we get

f(x-2)= 8(x-2)+1\\f(x-2)=8x-16+1\\f(x-2)=8x-15

Now

g(x)= f(x-2)

\therefore g(x)= 8x-15

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