-8 3/8 = -8 15/40
-12 4/5 = -12 32/40 ,because you had to get a common denominator.
Since you are subtracting from a negative the negative turns into a positive.
-8 15/40 + 12 32/40 = 4 17/40
Answer:
x^2 + 6x + 9 = 16
(x + 3)^2 = 16
x + 3 = +-4 ---> x = -7 or x = 1
The correct answer is: [D]: " y = - 4x − 13 " .
______________________________________________
Explanation:
_____________________________________________________
All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is: " y = mx + b" .
All of the answer choices given have a slope of "-4" ; that is: "m = -4" .
_____________________________________________________
The only answer choice with the equation that passes through point
"(-3, 1)" — that is, when "x = -3, y = 1" — is:
___________________________________________________
Answer choice: [D]: " y = - 4x − 13 " .
___________________________________________________
In the equation: " y = - 4x − 13 " ; when "x = - 3, y = 1" .
____________________________________________________
Given: " y = - 4x − 13 " ;
↔ - 4x − 13 = y ;
Plug in "(-3)" for "x" ; and see that "y = 1" ;
-4(-3) − 13 = y ;
12 − 13 = y = -1 ;
______________________________
So, when x = -3, y = 1 .
_________________________________________
The correct answer is: [D]: " y = - 4x − 13 " .
___________________________________________
Consider choice: [A]: " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 13 = y ; 12 + 13 = 25 ; NOT "-3" .
______________________________________
Consider choice: [B]: " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 7 = y ; 12 + 7 = 19 ; NOT "-3" .
______________________________________
Consider choice: [C]: " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) − 7 = y ; 12 − 7 = 9 ; NOT "-3" .
___________________________________________
This leaves us with "Answer choice: [D]: " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
_______________________________________________
Hope this helps!
______________________________________________
Answer:
the answer would be a rectangle
Step-by-step explanation:
A rhombus, like a rectangle, has two sets of parallel sides. A rhombus's top and bottom sides are slightly offset.
In the picture with the triangles Phillip is correct because the triangle does not give the measurements of the same side so there is no proof of any sides to be the same. With the other picture what I did was I reversed the translation which got the points A (-2,1) B (-5,3) Then I reversed the rotation which got me A(2,-1) and B (5,-3). So line AB endpoints would be located A (2,-1) and B (5,-3).
Hope this helps!
