Answer: The distance is 15
Step-by-step explanation:
To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.
-7-5= -12
0-9 = -9
12^2 + 9^2 = d^2 where d is the distance
144 + 81 = d^2
225 = d^2
d=
d= 15
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer:
250
Step-by-step explanation:
20% of 250 is 50. 100% of 250 is 250, therefore 20 percent of 250 equals 50.
More simplified explanation: The question is asking if 50 is 20% of a number, what is the number? So we know that 20% is 1/5 of 100%; if we know that 50 is 20% of something, then we would multiply 50 by 5 to get the answer. We would have to multiply 50 by 5 because if 50 is 20% of a number that would mean that 50 is 1/5 of the number we need to find, so to find the number, you to multiply 50 by 5.
Hope this helps!
Answer:
an = 7·2^(n-1)
a10 = 3584
Step-by-step explanation:
(a) The terms of the sequence do not have a common difference, but they do have a common ratio. That ratio is 14/7 = 2. The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
For a1=7 and r=2, the explicit formula is ...
an = 7·2^(n-1)
__
(b) The 10th term is ...
a10 = 7·2^(10 -1) = 7·512
a10 = 3584
Answer:
true
Step-by-step explanation: