Step-by-step explanation:
y = -2x + 1. => Slope = -2
Then the perpendicular line will have a slope of -1/(-2) = 0.5.
We have y = 0.5x + c.
When x = 4, y = -3.
=> (-3) = 0.5(4) + c, c = -5.
Hence the answer is y = 0.5x - 5. (C)
Answer:
9y(2x - 1)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term
= 9y(2x³ - x² - 8xy² + 4y²)
Factor the first/second and third/fourth term in the parenthesis
= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term
= 9y(2x - 1)(x² - 4y²)
x² - 4y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y), hence
18x³y - 9x²y + 72xy³ + 36y³
= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form
Answer:
1.25p
Step-by-step explanation:
p = amount raised last year
amount raised this year = p +(25% of p)
=1 p+0.25p
=p(1+0.25)
=1.25p
Answer:
Step-by-step explanation:
- 7 + 3x - 12x = 3x + 1
- 7 - 9x = 3x + 1
- 3x + 9x = 7 - 1
- 12x = 6
- x = 6/12
- x = 1/2
It has one solution
