Answer:
(2, 22 )
Step-by-step explanation:
Given the 2 equations
y = 7x + 8 → (1)
y = x + 20 → (2)
Substitute y = 7x + 8 into (2)
7x + 8 = x + 20 ( subtract x from both sides )
6x + 8 = 20 ( subtract 8 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 in (2) for corresponding value of y
y = x + 20 = 2 + 20 = 22
Solution is (2, 22 )
First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)
Then find the area of one of the triangles:
Area of Triangle = 
A =
× 12 × 19
A = 114 cm²
To find the area of the whole octagon shape:
A = 114 × 8 = 912 cm²
<em>Hope it helps!</em>
Answer: 0.003757(approx).
Step-by-step explanation:
Total number of combinations of selecting r things out of n things is given by:-

Total cards in a deck = 52
Total number of ways of choosing 8 cards out of 52 = 
Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit =
[since 1 suit has 13 cards]
The required probability = 

Hence, the required probability is 0.003757 (approx).
Answer:
B 1 1/7
Step-by-step explanation:
- 9 2/7 - ( -10 3/7)
We know subtracting a negative is like adding
- 9 2/7 +10 3/7
10 3/7 - 9 2/7
Putting this vertical
10 3/7
-9 2/7
-----------------
1 1/7