9 + 35x ≤ 310. 9 is the park fee, and 35x means that is 35 dollars per person. X is the amount of people and 310 is the maximum.
-9 to the second power will most likely be 81. A negative x a negative equals a positive. Hope this helped.
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x = 11,1.
Answer:
Step-by-step explanation:
<u>Goal</u>
- Find the equation of the line.
<u>Given</u>
- Coordinate points which are (4,3) and (6,2).
<u>Step</u><u> </u><u>1</u>
- Find the slope by using slope formula or rise over run.
Substitute the coordinate points in
<u>Step</u><u> </u><u>2</u>
- Rewrite the equation in slope-intercept form by substituting m = -0.5
Substitute m = -0.5
<u>Step</u><u> </u><u>3</u>
- Find the value of b by substituting any given coordinate points in the equation.
<em>Substituting</em><em> </em><em>both</em><em> </em><em>coordinate</em><em> </em><em>points</em><em> </em><em>still</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>answer</em><em>.</em><em> </em>
<u>Step</u><u> </u><u>3.</u><u>1</u>
- Substitute (4,3) in the equation.
<u>Step</u><u> </u><u>3</u><u>.</u><u>2</u>
- Substitute (6,2) in the equation.
<u>Step</u><u> </u><u>4</u>
- Rewrite the equation again by substituting the value of b.
Substitute b = 5 in the equation.
Hence, the equation is y = -0.5x + 5
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