The vertex form of quadratic equation is expressed as:
y = a (x - h)² + k
We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.
y - 14 = 5x² + 20x
Then, we factor out in right hand side the coefficient of the x² term.
y- 14 = 5 (x² + 4x)
We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.
y - 14 + 20 = 5 (x² + 4x +4)
We simplify the right-hand side as:
y + 6 = 5 (x + 2)²
We can now manipulate further the equation above in the vertex form. Thus,
y= 5 [ x- (-2)]² - 6
Answer:
x=20
Step-by-step explanation:
3x-10=x+30
2x-10=30
2x=40
x=20
The sum of the angles of a triangle is equal to 180°.
x+65+79 = 180
x = 180 - 65 - 79
x = 36°
Hey there!
2ab + 2 / 2ab - 2
= 2(1)(3) + 2 / 2(1)(3) - 2
= 2(3) + 2 / 2(3) - 2
= 6 + 2 / 6 - 2
= 8 / 4
= 2
Therefore, your answer should be: 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
(2)They are perpendicular.
Step-by-step explanation:
