Answer:
$3750 and $4250
Step-by-step explanation:
x + 500 = y
.045x + .035y = 317.50
.045x + .035(x + 500) = 317.50
.045x + .035x + 17.5 = 317.50
.08x = 300.00
x = 3750
y = 4250
Answer:
AB ≅ AC since triangle ABC is an isosceles triangle.
Step-by-step explanation:
- If angle 1 and angle 2 are equal, then triangle ADE is an isosceles triangle.
- Since line DE is parallel to line BC, then angle 2 is equal to angle 3 and angle 1 is equal to angle 4 (corresponding angles are equal).
- Since angle 3 is equal to angle 2 and angle 4 is equal to angle 1, then angle 3 is equal to angle 4.
- Since angle 3 is equal to angle 4, then triangle ABC is an isosceles triangle that have equal base angles (i.e angle 3 and angle 4).
- The two sides of the isosceles triangle ABC (i.e sides AB and AC) are also equal.
- Hence AB ≅ AC
Answer:
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Step-by-step explanation:
we have the function
where
m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall (in centimeters)
This is a vertical parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes
so
Convert the quadratic equation into vertex form
Factor -1
Complete the square
Rewrite as perfect squares
The vertex is the point (7,49)
therefore
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
6+5=11
11(3)=33
4-10= -6
33/-6=-5.5
-5.5