We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
_______________________
x^2 = x^2 - 34x + 204
+34x +34x
_______________________
x^2 + 34x = x^2 + 204
-x^2 -x^2
____________________
34x = 204
Divide 34 on both sides
x = 6.
The number is 6.
Answer:
Option A
Step-by-step explanation:
Let's denote:
x is the number of albums Teresa downloads.
y is the number of individual songs Teresa downloads.
=> 9x + y = 25
Let's check:
Option A: x = 2 and y = 7 => 9 x (2) + 7 = 18 + 7 = 25 => valid
Option B: x = 1 and y = 8 => 9 x (1) + 8 = 9 + 8 = 17 => invalid
Option C: x = 4 and y = 5 => 9 x (4) + 5 = 36 + 5 = 41 => invalid
Option D: x = 3 and y = 6 => 9 x (3) + 6 = 27 + 6 = 33 => invalid
Total surface area of the cube = 6.x^2.
= 6. (5)^2 cm^2
= 150cm^2. Answer.
Answer:
=24x−30
Step-by-step explanation:
=(6)(4x+−5)
=(6)(4x)+(6)(−5)
=24x−30