Answer:
A
Step-by-step explanation:
I plugged function 2 into desmos and it gave me that it had a bigger rate of change.
LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
So option (D) is Correct.
What we need to find is how many cookies we can make that have 1/12 cups of candy using 4 cups of candy corn.
What we know:
4 cups of candy
1/12 cup per cookie
We need to divide 4 cups of candy corn into groups of 1/12.
4/(1/12)
4/1 x 12/1=4x12=48
So, we have 48 groups of 1/12 cups of candy corn that means we can make 48 cookies each containing 1/12 cup of candy corn.
Answer: -20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
