Step-by-step explanation:
We have to simplify the given expression:
1. 3x+2y-2x+23x+2y−2x+2
Combining the like terms,we get the second step as
2. (3x-2x)+(2y)+(2)(3x−2x)+(2y)+(2)
Now, taking 'x' common from the first two terms, we get third step as:
3. (3-2)x+2y+2(3−2)x+2y+2
Now, simplifying the expressions among the like terms, we get fourth step as:
4. x+2y+2x+2y+2
Answer:
Y = -X - 7
Step-by-step explanation:
y-y1 =m(x-x1)
y-(-2)= -1(x-(-5)
y+2 = -1(x+5)
Solve for y
subtract 2 from both sides
y=-x-5-2
Y = -x-7
Step 1: Find factors of 135
1 and 135
3 and 45
5 and 27
9 and 15
Remember the rules for multiplication involving negatives:
Multiplying a negative with a negative will always be positive.
Multiplying a negative with a positive will always be negative.
So in order for the product to be -135, one number of each factor pair will need to be negative.
Step 2: Figure out which factor pair will add together to get the sum of 6
(Remember at least one from each pair will be negative)
Part A:
1 + (-135) = -134
3 + (-45) = -42
5 + (-27) = -22
9 + (-15) = -6
Part B:
135 + (-1) = 134
45 + (-3) = 42
27 + (-5) = 22
15 + (-9) = 6
(Knowing that the sum of adding a larger negative number to a smaller positive number will be negative, will make this a bit faster because you would just skip to Part B)
The sum of 15 and -9 is 6. So there is the answer.
You can also check it, just to make sure it's the correct answer.
15 × (-9) = -135
15 + (-9) = 6
The answer is either: (im making you choose)
-100
or
100
You multiply -10 by itself to get the correct answer
Dont forget about the signs
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = 
= 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
