Step-by-step explanation:
tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)
= (sin2B + cos2B)/[(cosB)(sinB)]
= 1/[(cosB)(sinB)]
= (1/cosB)(1/sinB)
= (secB)(cscB)
Y = kx
Plug in what we know:
5 = k(8)
5 = 8k
Divide 8 to both sides:
k = 0.625
Plug this back into the equation along with y = 15:
y = kx
15 = 0.625x
Divide 0.625 to both sides:
x = 24
Answer:
2/10
Step-by-step explanation:
you have to match the bottom number on both fractions then do what ever you did to the top number
so with this to get the 5 to a 10 you have to times it by 2
so you do the same to the 1
Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
Answer:
A.(-2, 0)
C. (-1.4)
Step-by-step explanation:
we know that
If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)
we have
subtract 7 both sides
divide by 2 both sides
Substitute the value of x and the value of y of each point in the linear equation and analyze the result
<u><em>Verify each point</em></u>
case A) we have
(-2, 0)
For x=-2, y=0
substitute
---> is true
so
the point lie on the line
case B) we have
(1, 3)
For x=1, y=3
substitute
---> is not true
so
the point not lie on the line
case C) we have
(-1, 4)
For x=-1, y=4
substitute
---> is true
so
the point lie on the line
case D) we have
(1, -4)
For x=1, y=-4
substitute
---> is not true
so
the point not lie on the line
case E) we have
(0, -1)
For x=0, y=-1
substitute
---> is not true
so
the point not lie on the line