Every function pairs HAS EXACTLY ONE output value with one input value.
A function is defined as a relation wherein one variable specifies a single value of another value. Function pairs is composed of an input and an output.
The answer is -5.
Step-by-step explanation:
The answer is -5 because -2 plus 3 equals 1 and 1 minus 6 equals -5
Answer:
Step-by-step explanation:
Factor the left hand side as a difference of squares:
(
cos
2
θ
+
sin
2
θ
)
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
Apply the pythagorean identity
cos
2
θ
+
sin
2
θ
=
1
:
1
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
cos
2
θ
−
sin
2
θ
=
cos
2
θ
−
sin
2
θ
L
H
S
=
R
H
S
Hopefully this helps!
Answer:
length of the longest side is less than 21
Step-by-step explanation:
5n+6n+7n=18n
18n<54
n<54/18
n<3
7*3=21( longest side.
)
Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) The slope / gradient is the coefficient of
, so for a) it will be
.
C is the y-intercept, so the full equation will be
.
b) Again, since the slope is 6, we know the coefficient of
will be 6.
Now, we have a point on the line and so far, we know the equation is
. The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.




c) To find the gradient we must use the formula
.
rise = change in y value
run = change in x value
so, the gradient 
Now the equation is 
Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).



so c) is 