Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
(4x2 – 4x – 7)(x + 3)
(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)
4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)
4x3 – 4x2 – 7x + 12x2 – 12x – 21
4x3 – 4x2 + 12x2 – 7x – 12x – 21
4x3 + 8x2 – 19x – 21
Answer:
15
Step-by-step explanation:
A={6,11,16,...,76}
a=6,d=11-6=5
so the cardinal number is 15
Change the messy words into numerals
3 times a number minus 2 equals 13
3 × n - 2 = 13
3n - 2 = 13
take 2 to the other side
3n - 2 + (2) = 13 + (2)
3n = 15
Divide by 3 on either sides to isolate n
=
3 and 3 cancels out
n = 5
check:
3 times 5 minus 2 equals 13
3 × 5 - 2 = 13
15 - 2 = 13
13 = 13
The number is 5