Answer:
<h3>The slope of the line is 1</h3>
Step-by-step explanation:
The slope of a line is found by using the formula
where
m is the slope and
(x1 , y1) and ( x2 , y2) are the points
Substituting the above values into the above formula we have
Slope of the line that passes through
(0,1) and (-8, -7) is
<h3>The slope of the line is 1</h3>
Hope this helps you
Answer:
x = 44
Step-by-step explanation:
log4(x + 20) = 3
Raise each side to the power of 4
4^ log4(x + 20) = 4^3
x+20 = 4^3
x+20 = 64
Subtract 20 from each side
x+20-20 = 64-20
x = 44
Answer:
Domain(x-values) Pls mark brainliest :)
Step-by-step explanation:
Consider all options:
A.
![\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] \cdot \left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] =\left[\begin{array}{cc}5\cdot 5+5\cdot (-4)&5\cdot 5+5\cdot (-4)\\-4\cdot 5+(-4)\cdot (-4)&-4\cdot 5+(-4)\cdot (-4)\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%265%5C%5C-4%26-4%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%265%5C%5C-4%26-4%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%5Ccdot%205%2B5%5Ccdot%20%28-4%29%265%5Ccdot%205%2B5%5Ccdot%20%28-4%29%5C%5C-4%5Ccdot%205%2B%28-4%29%5Ccdot%20%28-4%29%26-4%5Ccdot%205%2B%28-4%29%5Ccdot%20%28-4%29%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%265%5C%5C-4%26-4%5Cend%7Barray%7D%5Cright%5D.)
This option is true.
B.
![\left[\begin{array}{cc}6&5\\5&6\end{array}\right] \cdot \left[\begin{array}{cc}6&5\\5&6\end{array}\right] =\left[\begin{array}{cc}6\cdot 6+5\cdot 5&6\cdot 5+5\cdot 6\\5\cdot 6+6\cdot 5&5\cdot 5+6\cdot 6\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%265%5C%5C5%266%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%265%5C%5C5%266%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%5Ccdot%206%2B5%5Ccdot%205%266%5Ccdot%205%2B5%5Ccdot%206%5C%5C5%5Ccdot%206%2B6%5Ccdot%205%265%5Ccdot%205%2B6%5Ccdot%206%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}61&60\\60&61\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D61%2660%5C%5C60%2661%5Cend%7Barray%7D%5Cright%5D.)
This option is false.
C.
![\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+(-0.5)\cdot (-0.5)&0.5\cdot (-0.5)+(-0.5)\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot (-0.5)+0.5\cdot 0.5\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%26-0.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%26-0.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%5Ccdot%200.5%2B%28-0.5%29%5Ccdot%20%28-0.5%29%260.5%5Ccdot%20%28-0.5%29%2B%28-0.5%29%5Ccdot%200.5%5C%5C-0.5%5Ccdot%200.5%2B0.5%5Ccdot%20%28-0.5%29%26-0.5%5Ccdot%20%28-0.5%29%2B0.5%5Ccdot%200.5%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%26-0.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D.)
This option is true.
D.
![\left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+0.5\cdot (-0.5)&0.5\cdot 0.5+0.5\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot 0.5+0.5\cdot 0.5\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%260.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%260.5%5C%5C-0.5%260.5%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.5%5Ccdot%200.5%2B0.5%5Ccdot%20%28-0.5%29%260.5%5Ccdot%200.5%2B0.5%5Ccdot%200.5%5C%5C-0.5%5Ccdot%200.5%2B0.5%5Ccdot%20%28-0.5%29%26-0.5%5Ccdot%200.5%2B0.5%5Ccdot%200.5%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}0&0.5\\-0.5&0\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%260.5%5C%5C-0.5%260%5Cend%7Barray%7D%5Cright%5D.)
This option is false.
E.
![\left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] \cdot \left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] =\left[\begin{array}{cc}-6\cdot (-6)+(-6)\cdot 5&-6\cdot (-6)+(-6)\cdot 5\\5\cdot (-6)+5\cdot 5&5\cdot (-6)+5\cdot 5\end{array}\right]=](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%26-6%5C%5C5%265%5Cend%7Barray%7D%5Cright%5D%20%5Ccdot%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%26-6%5C%5C5%265%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%5Ccdot%20%28-6%29%2B%28-6%29%5Ccdot%205%26-6%5Ccdot%20%28-6%29%2B%28-6%29%5Ccdot%205%5C%5C5%5Ccdot%20%28-6%29%2B5%5Ccdot%205%265%5Ccdot%20%28-6%29%2B5%5Ccdot%205%5Cend%7Barray%7D%5Cright%5D%3D)
![=\left[\begin{array}{cc}6&6\\-5&-5\end{array}\right].](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%266%5C%5C-5%26-5%5Cend%7Barray%7D%5Cright%5D.)
This option is false.
Answer: correct options are A and C.
The answer is 42/3
4 2/3 × 6 1/2= 30.33 (30 1/3)
