ANSWER

EXPLANATION
Part a)
Eliminating the parameter:
The parametric equation is


From the first equation we make t the subject to get;


We put it into the second equation.


We differentiate to get;

At x=5,


The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by




Without eliminating the parameter,



At x=5,



This implies that,

The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by



Answer:
x = 8
Step-by-step explanation:
Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.
16x-4 + 7x = 180, combine like terms
23x - 4 = 180, add 4 on both sides (isolate variable)
23x = 184, divide 23 on both sides
x = 8
X=⁻3 and x=1
because
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22
Answer:
Bag 1: 20
Bag 2: 40
Step-by-step explanation:
Let x be the amount taken out of bag 2
Then the amount left in each bag can be written as:
Bag 1: 50-3x
Bag 2: 50-x
Since we know that half of bag 2 is bag 1, that gives us:
50-3x = 1/2(50-x)
-> 50-3x = 25-x/2
Now lets isolate x and solve:
25 = 5x/2
-> 50 = 5x
-> x = 10
So plug x bag in for the original equations:
Bag 1: 50-3x = 50-3(10) = 20
Bag 2: 50-x = 50-10 = 40