Answer: The first number that appears in both sequences is 28.
Step-by-step explanation:
Let's write down numbers from each of the sequences
Sequence 1) We need to start from 7 and multiply 4
7x4=28, 28x4=112
The sequence is 7,28,112...
Sequence 2) We need to start from 8 and add 5
5+8=13, 13+5=18, 18+5=23, 23+5=28
The sequence is 8,13,18,23,28...
They both have 28
Answer:
2 x 7
Step-by-step explanation:
a * b = 14
2a + 2b = 18
(a * b)/b = 14/b Dividing both sides by b
a = 14/b
Substitute a in the perimeter equation
2(14/b) + 2b = 18
28/b + 2b = 18
2b - 18 + 28/b = 0
Multiply both sides by b
2b^2 - 18b + 28 = 0
Divide both sides by two
b^2 - 9b + 14 = 0
The Factors of 14 include -2 and -7 which add up to -9
(b - 2) * (b - 7) = 0
This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.
2 x 7
Answer:
a and d = 32
Step-by-step explanation:
since ABC and DEF are similar m<A = m<D so you have the equation
5x + 12 = 8x
subtract 8x from both sides
5x + 12 -8x = 0
subtract 12 from both sides
5x -8x = -12
combine like terms
-3x = -12
devide by -3
x = 4
plug 4 into equation
5(4) + 12 = 8*4
20 + 12 = 32
32 = 32
Answer: 8(x+5) 8x + 40
40 + 8x
Step-by-step explanation:
Distribute the 8 by multiplying by each value inside the parentheses.
Commutative property in addition and multiplication allows the terms to be in reversed order.
Answer:
blank A is 9. Blank B is 41. Blank C is 18. Blank D is 24