Answer:
b = -ax + 4x + 2
Step-by-step explanation:
8x - 3x + 2 - x = ax + b
~Combine like terms
4x + 2 = ax + b
~Subtract ax to both sides
4x - ax + 2 = b
~Rewrite
b = -ax + 4x + 2
Best of Luck!
Answer:

Step-by-step explanation:
we know that
In this problem
The value of x represent the radius of the circle
so
Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O
see the attached figure to better understand the problem



square root both sides

Remark
This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.
Solution
The Base of Triangle ABN is AB
The Base of Triangle CDM is CD
The height of both given triangles is h. That is the distance between the two parallel lines.
Area ABN = 1/2*AB * h = 23 cm^2
Area CDM = 1/2*CD * h = 18 cm^2
Now the Area of the trapezoid is
Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.
Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)
Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer
Answer:
Shift 4 units up, and 4 units to the left.
Step-by-step explanation: