The answer rounded to the tenths place is 43.8, to the hundredths place is 43.84
Answer:12.8
Step-by-step explanation:
Answer:
y = -4x² + 32x - 48
Step-by-step explanation:
The standard form of a quadratic equation is
y = ax² + bx + c
We must find the equation that passes through the points:
(2, 0), (6,0), and (3, 12)
We can substitute these values and get three equations in three unknowns.
0 = a(2²) + b(2) + c
0 = a(6²) + b(6) + c
12 = a(3²) + b(3) + c
We can simplify these to get the system of equations:
(1) 0 = 4a + 2b + c
(2) 0 = 36a + 6b + c
(3) 12 = 9a + 3b + c
Eliminate c from equations (1) and (2). Subtract (1) from (2).
(4) 0 = 32a + 4b
Eliminate c from equations (2) and (3). Subtract (3) from (2).
(5) -12 = 27a - 3b
Simplify equations (4) and (5).
(6) 0 = 8a + b
(7) -4 = 9a - b
Eliminate b by adding equations (6) and (7).
(8) a = -4
Substitute (4) into (6).
0 = -32 + b
(9) b = 32
Substitute a and b into (1)
0 = 4(-4) + 2(32) + c
0 = -16 + 64 + c
0 = 48 + c
c = -48
The coefficients are
a= -4, b = 32, c = -48
The quadratic equation is
y = -4x² + 32x - 48
The diagram below shows the graph of your quadratic equation and the three points through which it passes.
Short Answer: 1.5
Givens
OA = 12
OB = 9
O does not lie on AB
Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right.
Mark your distances as follows.
OB = 9
BA = 3
Mark the midpoint of OA = M1
Mark the midpoint of OB = M2
M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5
The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2 = 1.5 <<<<
Nice problem: Thanks for posting.
Answer:
8
Step-by-step explanation:
i think this is right if not it would be 2