Answer:
-4x + 12 = 20 is incorrect. she added 12 to 20 instead of subtracting 12 from both sides.
Step-by-step explanation:
It should have been, write problem
-4(x - 3) = 20
Use distributive property.
-4x + 12 = 20
subtract 12 from each side
-4x =8
divide each side by -4
x = -2
Let's solve your equation step-by-step.
Question 1: −2(6−2x) =4(−3+x)
Step 1: Simplify both sides of the equation.
−2(6−2x) =4(−3+x)
(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)
−12+4x=−12+4x
4x−12=4x−12
Step 2: Subtract 4x from both sides.
4x−12−4x=4x−12−4x
−12=−12
Step 3: Add 12 to both sides.
−12+12=−12+12
0=0
Answer: All real numbers are solutions.
Question 2:
Let's
solve your equation step-by-step.
5−1(2x+3)
=−2(4+x)
Step 1:
Simplify both sides of the equation.
5−1(2x+3)
=−2(4+x)
5+(−1)
(2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)
5+−2x+−3=−8+−2x
(−2x)
+(5+−3) =−2x−8(Combine Like Terms)
−2x+2=−2x−8
−2x+2=−2x−8
Step 2:
Add 2x to both sides.
−2x+2+2x=−2x−8+2x
2=−8
Step 3:
Subtract 2 from both sides.
2−2=−8−2
0=−10
Answer: There are no solutions.
Answer:
The values of 
so that 
have vertical asymptotes are 
, 
, 
, 
, 
.
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is . Then, the vertical asymptotes associated with function cosecant are located in the values of of the form:
, 
In other words, the values of so that have vertical asymptotes are , , , , .
Answer:
alright so you got 2 points! now this is the slope formula! y2-y1/x2-x1
okay let's label your points! (x1 0,y1 -3) (x2 2,y2 1)
let's follow the formula this makes it so we can solve! 1--3/2-0
I understand you may get a decimal but don't use 2.5 use a fraction because teachers seem to like fractions and general decimals can be hard to use (experience lol) 2.5 is 5/2 so this means your slope is 5/2
this formula works every single time and if you memorize it you can do any other problems with 2 points! please memorize y2-y1/x2-x1
