Answer:
29
Step-by-step explanation:
Let x represent the length of DE. Then ...
AB = x
AD = AB -BD = x - 9
__
AC = x
AE = AC -CE = x - 8
And the Pythagorean theorem applied to triangle ADE tells us ...
x^2 = (x -9)^2 +(x -8)^2
0 = x^2 -34x +145 = (x -5)(x -29)
Solutions are the values of x that make a factor zero: 5 or 29.
The length of DE must be greater than 9, so the appropriate solution from the above equation is x = 29.
The length of DE is 29.
Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=
We have to find the value of a and b where a and b are integers.
For n=1
......(1)
For n=2
.....(2)
Subtract equation (1) from (2) we get
Using the value of a=3 in equation (1)
Hence, the value of
a=3 and b=-2
The answer is X=1, y=5. X=-5 y=-1
Well a ratio is a fraction but with a colon so 7/12 would be 7:12
