A.69.08
B.1932.356
C.120.89
D.483.246
approximately
The answer:
the vertex formula is V( -b/2a, f((-b/2a) )
so if The graph of y=ax^2+bx+c is a parabola that opens up and has a vertex at (0,5), then -b/2a = 0, implies b = 0, and when b =0 f((-b/2a = 0/2a=0))=f(0)
in our case, f(x)=<span>ax^2+bx+c, and it implies f(0) = c </span>≠ 5
so there is no value of a, b and c which verifies the equation of vertex, the set solution is {∅} (the empty set)
Answer:
700/821, 429/821, 700/429
Step-by-step explanation:
SOH, CAH, TOA
Sin= opp/hyp
Cos= adj/hyp
Tan= opp/adj
Answer:
In the box. we have 5 20 pence coins and 13 10 pence coins
Step-by-step explanation:
Let the number of 10 pence coins be x and the number of 20 pence coins be y
The sum of these numbers is 18
Thus;
x + y = 18•••••••(i)
Writing the value in pence only
£2.30 * 100 = 230 pence
Now we have that;
total 10 pence coin amount = 10 * x = 10x
Total 20 pence coin amount = 20 * x = 20y
10x + 20y = 230
x + 2y = 23 •••••••(ii)
from ii;
x = 23-2y
Substitute this into i
23-2y + y = 18
23-18 = 2y-y
y = 5
Recall;
x + y = 18
x + 5 = 18
x = 18-5
x = 13
First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2
Now, this is the answer for angles between 0 and 2pi
but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:
x = pi/2 + n*pi
here n is any integer.