Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m =
= -
, hence
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = -
+ c ⇒ c = 4 +
= 
y = -
x +
← equation of line
Answer:
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Step-by-step explanation:
Formulas are used to factorize the polynomials.
In the given question, we can see a difference of squares
the difference of squares can be factorized using the formula

Here a^2 and b^2 are squares and factorized as sum and difference of numbers.
So in the given options,
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Answer:
y=0
Step-by-step explanation:
Simplifying
y + y = 0
Combine like terms: y + y = 2y
2y = 0
Solving
2y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '2'.
y = 0
Simplifying
y = 0
Answer:
d. 14
Step-by-step explanation:
- 3(2) = 3 × 2 = 6
- Plug 6 in: 12 + {10 ÷ [11 - 6]}
- 11 - 6 = 5
- Plug 5 in: 12 + {10 ÷ 5}
- 10 ÷ 5 = 2
- Plug 2 in: 12 + 2
- 12 + 2 = 14
I hope this helps!