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 )
We know that
1 <span>gallon of water weighs about -------------> 8.5 pounds.
so
412 gallons of water (container)-------> x
x=412*8.5-----> x=3502 pounds
the answer is
</span><span>the water in the bucket weigh 3502 pounds</span>
Answer:
i got D
Step-by-step explanation:
<u>sin 67</u><u> </u> = <u>sin</u><u> </u><u>5</u><u>2</u>
21 BC
BC=17.98
BC=18
Answer:
The value of y is 14.
Step-by-step explanation:
Given,
Length of AB = 
Length of BC = 
Length of CD =
Since ABCD is an isosceles trapezoid then according to property of trapezoid which is given below;
"In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length."
So Length of AB = Length of CD

Hence the value of y is 14.