To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
Answer:
Step-by-step explanation:
(1225)(1516)
=1857100
Answer:
The area of the composite area is 400 square millimeters.
Step-by-step explanation:
The area of the composite figure (
), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:
(1)
Where:
- Width, in millimeters.
- Height, in millimeters.
If we know that 
, the area of the composite figure is:
The area of the composite area is 400 square millimeters.
Logbx-logby-2logbz
1/2ln2+3/2lnx+1/2lny
