Answer:
Step-by-step explanation:
y = tan(48 + 19/60 + 23/3600)
y = tan(48.323055555...)
y = 1.1232851096924531815531574029372...
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
Answer:
(5x+1)(x - 2)
Step-by-step explanation:
A)


b)
since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP
thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)
c)
what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

Pyramid
volume=base area times height times 1/3
or
length times widht times height times 1/3
base area=3
3 times height iems 1/3
height=4
3 times 3 times 1/3=4 times 1/3 times 3=4 times 1
each pyramide=4 in volume
so
x pyramids =alabaster volume
divide by pyramids
x=alabaster/pyrimds
alabaster=576
pyramids=4
divide
576/4=144
the artis can make 144 pyramids