Answer:
y = -x + 5
y = x/2 + 3/2
Step-by-step explanation:
First we calculate the slope as difference between coordinates
a) P₁ ( -1 , 6 ) P₂ ( 3 , 2 )
m = Δy/Δx ⇒ m = ( y₂ - y₁ ) / ( x₂ - x₁ ) ⇒ m = (2 -6 ) / (3 -(-1))
m = -4 /4
m = -1
Now we have:
y - y₁ = m ( x - x₁ ) ⇒ y - 6 = (-1) ( x - (-1))
y - 6 = -1 * ( x + 1 ) ⇒ y - 6 = - x - 1
y = -x + 5
In the second case
Q₁ ( -3 , 0 ) Q₂ ( 5 , 4 )
Again we calculate the slope
m = Δy / Δx ⇒ m = ( 4 - 0 ) / ( 5 - (-3)) ⇒ m = 4 / 8 ⇒ m = 1/2
m = 1/2 or x = 0,5
And
y - y₁ = 1/2 ( x - x₁ ) ⇒ y - y₁ = 1/2 ( x - (-3)) ⇒ y - 0 = 1/2 * x + 3/2
y = x/2 + 3/2
Answer:
15.094 %
Step-by-step explanation:
[(122 - 106) /106] 100
(16/106) 100
(0.15094)x100
15.094
Answer:
If you aren't looking for the quadratic solving method then comment it down below and tell me what you're looking for
QUADRATIC EQUATION
x²- 4x = 6
(x - 2)²- 4 = 6
(x - 2)² = 10
x - 2 = ±10
x = ±10+2
x = -8, 12
Answer:
2x³ + 5x² - 12x
Step-by-step explanation:
The correct answer doesn't seem to be listed...
(fg)(x) = (2x² - 3x)(x + 4)
Which equals...
2x²(x) + 2x²(4) + (-3x)(x) + (-3x)(4)
Which simplifies to...
2x³ + 8x² - 3x² - 12x
2x³ + 5x² - 12x
