common difference=d=43-39=4
We need first term a
Answer:
The solution of the system is
x=8, y=11
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The intersection point is (8,11)
see the attached figure
therefore
The solution of the system is
x=8, y=11
Your selections are correct, and the last one should be simplifying.
Answer:
12a cm2
2b cm2
(6a + b) cm2
Step-by-step explanation:
The complete question is
The figure consists of 12 congruent equilateral triangles. The area of one equilateral triangle is a cm2. The area of the hexagon, shaded slightly darker, is b cm2.
Which expressions represent the area of the entire shaded region, including the light and dark shading? Check all that apply.
12a cm2
2b cm2
(6a - b) cm2
(12a + 2b) cm2
(6a + b) cm2
The picture of the question in the attached figure
we know that
The area of the entire shaded region is equal to the area of the the light and dark shading
so
step 1
Find the area of the light shading
The area is equal to the area of six congruent equilateral triangles
step 2
Find the area of the dark shading
The area is equal to the area of the regular hexagon
step 3
1) Find the total area
2) Remember that the figure consists of 12 congruent equilateral triangles
so
3) The area of the light shading is the same that the area of the dark shading
so
6a=b
therefore
11) rational, integer
12) rational, integer, whole
13) irrational
14) rational, integer, whole, natural
15) rational
16) irrational