(ab)² and ab² are not equal. When you have something in parentheses being squared, you have to square everything inside, so in the case of (ab)², you have to "distribute" the ² to both variables inside. That gives you a²b², not just ab².
If the abstract way is kind of confusing for you, just pick two random numbers for a and b and plug them in to test it. Say a = 3 and b = 4. Then
(3*4)² = 3*4²
(12)² = 3*16
144 ≠ 48
If Jeff is x years old, Ben is x - 9 years old.
Ten years later, Jeff would be x + 10 years old and Ben would be (x - 9) + 10 years old.
x + 10 + (x - 9) + 10 = 67
2x + 11 = 67
2x = 56
x = 28
Jeff is 28 right now and Ben is 19 right now.
Answer:
V = lwh
31050 = 36(28)w
31050 = 1008w
w = 31"
Step-by-step explanation:
This is ez lol
Answer:
Remi needs 15 cm of wood to be cut for the shelf.
Step-by-step explanation:
We have drawn the triangle for your reference.
Now Given:
Base measure (BC) =30 cm
Slant height (AB) = 24 cm
Slant height (AC) = 18 cm
Also Given horizontal shelf halfway between the base and the top.
In the triangle drawn horizontal shelf is denoted by DE.
We need to find the measure of DE.
Now we know that horizontal shelf halfway between the base and the top.
Hence by Midpoint theorem which states that;
"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

Substituting the value we get;

Hence Remi needs 15 cm of wood to be cut for the shelf.