Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = 
= 
= 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
= - 
= 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
Answer:
2x - 4
Step-by-step explanation:
x + 10 + x - 14
2x + 10 - 14
2x - 4
Answer: The parabola has its concavity downwards, so we need a function in the model:
With a negative value of 'a'
The vertex is (0,0), so we have that:
The x-coordinate of the vertex is given by the equation:
So we have a function in the model:
With a < 0
The only option with this format is B:
Step-by-step explanation:
Answer:
58.3°
Step-by-step explanation:
Missing Information:
In this question the diagram is missing Following are the attachment of diagram of the given question.
As we seen that the vertex c is making the right angle i,e 90° also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm
Now we have find the best approximation of the angle ABC used the cosx trigonometric function.
Putting the value of perpendicular and hypotenuse in the previous formula we get
Answer:
Option A- 1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.
