If its parallel then angular coeficient is the same
y = 5x + 3
The other line m = 5
(y - yo) = m.(x - xo)
(y - 7) = 5.(x - 9)
y - 7 = 5x - 45
y = 5x - 45 + 7
y = 5x - 38
Alternative D
10C6 = 10!/(6!*(10-6)!) = 10*9*8*7/(4*3*2*1) = 210
There are 210 ways to choose 6 from a group of 10.
Answer: "12" .__________________________________ " x = 12 " .__________________________________
Explanation:
__________________________________
The TWO (2) angles:
Angle 1) "(10x − 20)° " ; AND:
Angle 2) " (6x + 8)° " ;
______________________________
form a "straight line" ; so by definition; ∡1 and ∡2 are supplementary angles; and as such, m∡1 and m∡2 add up to 180°.
We are asked to solve for "x" .
___________________________________
10x − 20 + 6x + 8 = 180 ;
Combine the "like terms" on the "left-hand side" of the equation:
_________________________________________
10x + 6x = 16x ;
- 20 + 8 = -12 ;
__________________________________________
Rewrite the equation:
16x − 12 = 180 ;
__________________________________________
Add "12" to both sides of the equation;
__________________________________________
16x − 12 + 12 = 180 + 12 ;
to get:
16x = 192 ;
_________________________________________
Divide EACH SIDE of the equation by "16" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_________________________________________
16x / 16 = 192 ;
x = 12 .
<span>__________________________________________
</span>Let us check our answer, by plugging in "12" for "x" in the original equation:
__________________________________________
→ 10x − 20 + 6x + 8 =? 180 ? ;
→ 10(12) − 20 + 6(12) + 8 =? 180 ? ;
→ 120 − 20 + 72 + 8 = ? 180 ?
→ 120 − 20 = 100 ; 100 + 72 = 172; 172 + 80 =? 180 ? Yes!
__________________________________________________________
In order to invert a function, switch y and x in the definition, and solve for y again:
![y=2x+1 \mapsto x=2y+1](https://tex.z-dn.net/?f=y%3D2x%2B1%20%5Cmapsto%20x%3D2y%2B1)
Solving for y, we have
![x=2y+1\iff x-1=2y \iff y=\dfrac{x-1}{2}](https://tex.z-dn.net/?f=x%3D2y%2B1%5Ciff%20x-1%3D2y%20%5Ciff%20y%3D%5Cdfrac%7Bx-1%7D%7B2%7D)