Answer:
a(n)=6*2^(n-1)
Step-by-step explanation:
a(n)=a(1)r^(n-1)
a(1) = 6
a(2)=6r^1=12
r=2
a(n)=6*2^(n-1)
Answer:
Below
Step-by-step explanation:
All figures are squares. The area of a square is the side times itself
Let A be the area of the big square and A' the area of the small one in all the 5 exercices
51)
● (a) = A - A'
A = c^2 and A' = d^2
● (a) = c^2 - d^2
We can express this expression as a product.
● (b) = (c-d) (c+d)
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52)
● (a) = A-A'
A = (2x)^2 = 4x^2 and A'= y^2
● (a) = 4x^2 - y^2
● (b) = (2x-y) ( 2x+y)
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53)
● (a) = A-A'
A = x^2 and A' = y^2
● (a) = x^2-y^2
● (b) = (x+y) (x-y)
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54)
● (a) = A-A'
A = (5a)^2 = 25a^2 and A' =(2b)^2= 4b^2
● (a) = 25a^2 - 4b^2
● (a) = (5a-2b) (5a+2b)
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55)
● (a) = A - 4A'
A = (3x)^2 = 9x^2 and A'= (2y)^2 = 4y^2
● (a) = 9x^2 - 4 × 4y^2
● (a) = 9x^2 - 16y^2
● (a) = (3x - 4y) (3x + 4y)
4 teaspoons because there are 3 teaspoons in 1 tablespoon
Answer:
50 players
Step-by-step explanation:
Let x be the amount of players last year and y be the amount of players this year then...
y=3x+2
y=152
We can solve this using substitution. Substitute 152 for y:
y=3x+2
152=3x+2
Subtract 2 from both sides (subtraction property of equality)
152-2=3x+2-2
150=3x
Divide both sides by 3 (division property of equality)
x=50
There were 50 players last year.
Answer:
1: x + 5=12 ->
x=7
2: 7x = 21 -> x=3
3: b - 2/3 = 5/6 ->
x=3/2
4: 1/5m = 20 -> 100
5: 45 = 3(x + 1) -> x = 14
6: 22.5 = 1.5x -> x = 15
Step-by-step explanation:
