Answer:
Step-by-step explanation:
slope m = -1; (-13,0)
y - y1 = m (x-x1)
y - 0 = (-1)* (x - [-13] )
y = (-1)* (x + 13)
y = -1*x + (-1)*13
y = -x -13
Answer:
the 70
Step-by-step explanation:
basically yoy half it as an angle is either 180 for triangle 360 for a circle and 180 also for a half line\
Answer:
pink
Step-by-step explanation:
hi
Answer:
The number is: "
12 ".
____________________________________ Let "x" represent "the unknown number" (for which we wish to solve.
The expression:
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x <span>− 6 = 2 ; Solve for "x" ;
</span>
_______________________________________________Method 1) Add "6" to EACH SIDE of the equation;
_______________________________________________ →
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x − 6 + 6 = 2 + 6 ;
to get:
→
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x = 8 ;
______________________________________________Multiply each side of the equation by "
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________ →
*
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x = 8 *
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
;
→ x = 8 *
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
;
=
![\frac{8}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B1%7D%20)
*
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
;
=
![\frac{8*3}{1*2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A3%7D%7B1%2A2%7D%20)
;
=
![\frac{24}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B2%7D%20)
;
= <span>
1<span>
2 .</span></span>
______________________________________________ x = 12 .
______________________________________________Method 2)______________________________________________![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x − 6 = 2 ; Solve for "x" ;
Add "6" to EACH SIDE of the equation;
_______________________________________________ →
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x − 6 + 6 = 2 + 6 ;
to get:
→
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x = 8 ;
______________________________________________Multiply each side of the equation by "3" ; to get rid of the "fraction" ;
→ 3 *
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x = 8 * 3 ;
→
![\frac{3}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B1%7D%20)
*
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x = 8 * 3 ;
→
![\frac{3*2}{1*3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2A2%7D%7B1%2A3%7D%20)
x = 8 * 3
→
![\frac{6}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B3%7D)
x = 24 ;
→ 2x = 24 ;
→ Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" :
2x / 2 = 24 / 2 ;
x = 12 .
__________________________________________________Method 3).__________________________________________________![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x − 6 = 2 ; Solve for "x" ;
_______________________________________________Add "6" to EACH SIDE of the equation;
_______________________________________________ →
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x − 6 + 6 = 2 + 6 ;
to get:
→
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x = 8 ;
______________________________________________Now, divide each side of the equation by "
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
___________________________________________________{
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
x } / {
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
} = 8 / {
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
} ;
to get: x = 8 / {
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D)
} ;
= 8 * (
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
;
=
![\frac{8}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B1%7D)
*
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D)
;
=
![\frac{8*3}{1*2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A3%7D%7B1%2A2%7D%20)
;
=
![\frac{24}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B2%7D%20)
;
=
12 ;
___________________________________________ x = 12 .
___________________________________________NOTE: Variant: (in "Methods 2 & 3") :
___________________________________________At the point where:
___________________________________________ = 8 * (
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
) ;
=
![\frac{8}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B1%7D)
*
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D)
;
__________________________________________ We can cancel out the "2" to a "1" ; and we can cancel out the "8" to a "4" ;
__________________________________________ {since: "8÷2 = 4" ; and since: "2÷2 =1" } ;
__________________________________________and we can rewrite the expression:
__________________________________________ ![\frac{8}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B1%7D)
*
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D)
;
__________________________________________as:
![\frac{4}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B1%7D)
*
![\frac{3}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B1%7D)
;
__________________________________________which equals:
__________________________________________→
![\frac{4*3}{1*1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%2A3%7D%7B1%2A1%7D)
;
=
![\frac{12}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B1%7D%20)
;
=
12 .
__________________________________________ x = 12 .
__________________________________________Answer:
The number is: "
12 ".
__________________________________________
Answer:
(- 1, 5 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(- 1, - 5 ) → (- 1, 5 )