Evaluate the expression 2x+ y when x = 3. y=1.
2 answers:
Answer:
Step-by-step explanation:
We are given the expression
and asked to evaluate when x=3 and y=1. Therefore, we must substitute 3 in for x and 1 in for y.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 2 and 3.
Add 1 and 6.
The expression 2x+y evaluated at x=3 and y=1 is equal to 7.
You might be interested in
The sketch of the parabola is attached below
We have the focus
The point
The directrix, c at
The steps to find the equation of the parabola are as follows
Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates;
and 
.
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
Step 2
Find the distance between the point P to the directrix
. It is a vertical distance between y and c, expressed as 
Step 3
The equation of parabola is then given as
=
⇒ substituting a, b and c
⇒Rearranging and making 
the subject gives
We have the focus
The point
The directrix, c at
The steps to find the equation of the parabola are as follows
Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates;
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
Step 2
Find the distance between the point P to the directrix
Step 3
The equation of parabola is then given as