Answer:
m= 3/5.
Step-by-step explanation:
The general equation of the line is:
(y - y0) = m ( x - x0), where "m" represents the slope is: (y1 - y0) / (x1 - x0).
From the statement we know that (x1, y1) = (6, 8) and (x0, y0) = (1,5)
Then the slope is:
m= (y1 - y0) / (x1 - x0) = (8 - 5)/(6 - 1) = 3/5.
The slope is 3/5
Answer:
- 1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13
Step-by-step explanation:
<u>Given</u>
<u>Factors of 1101:</u>
- 1, 7, 11, 13, 7∙11, 7∙13, 11∙13, 7∙11∙13
Sum means add
5x+2x is at least 70
is at least means <u>></u>
so it is
5x+2x<u>></u>70
(5x+2x can be combined to get 7x and 7x<u>></u>70 divide 7 get x<u>></u>10)
Given the expression:
![\displaystyle \large{ \sqrt[3]{ - 125} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20-%20125%7D%20%7D)
Definition:
![\displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20y%20%20%3D%20%5Cbegin%7Bcases%7D%20%20%20%5Cpm%20%5Csqrt%5Bn%5D%7Bx%7D%20%20%5Clongrightarrow%20n%20%20%3D%20%282%2C4%2C6%2C8%2C...%29%20%20%5C%3A%20%20%5C%3A%20%28x%20%5Cgeqslant%200%29%20%5C%5C%20%20%20%5Csqrt%5Bn%5D%7Bx%7D%5Clongrightarrow%20n%20%3D%20%281%2C3%2C5%2C7%2C...%29%20%5C%3A%20%20%5C%3A%20%28x%20%5Cin%20%5CR%29%20%5Cend%7Bcases%7D%7D)
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
![\displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%7D%20%7D)
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
Answer:
32
Step-by-step explanation:
32 is the constant of proportionality. Its represents thr average number of miles per gallon.
