Answer:
(a) 3
Step-by-step explanation:
Calculate the slope m of the line given using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)
m = 
= - 
given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 3 → (a)
Answer:
4(k - 3)(3k + 5)
Step-by-step explanation:
Given
12k² - 16k - 60 ← factor out 4 from each term
= 4(3k² - 4k - 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term
product = 3 × - 15 = - 45 , sum = - 4
Factors are - 9 and + 5
Use these factors to split the middle term
3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms
= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)
= (k - 3)(3k + 5)
Hence
12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form
Answer:
1. Infinitiely many solutions, one solution, no solutions
2.
y=-3/2x-4
y= x+1
3.
y=1/4x-2
y=1/4x+3
Step-by-step explanation:
The first one is C and the second one is B
Answer:
9a+12
Step-by-step explanation:
The perimeter is the sum of the side lengths, so is ...
6a + a + 4 + 8 + 2a
= a(6 +1 +2) + (4 +8)
= 9a +12
