Answer:
The perimeter of the rectangle is 2x+ 30
Step-by-step explanation:
Sides of the rectangle are 2/3x+10 and 1/3x+5
Now, Perimeter of the Rectangle = 2(Length + Breadth)
Here, sum of the sides =
adding like terms with like terms, we get
(
Hence, Sum = (x + 15)
Now, 2(Length + Breadth) = 2(x+15) = 2x + 30
hence, the perimeter of the rectangle = 2x+ 30
Answer:
Yes
Step-by-step explanation:
Because a dollar and a dime and 11 dimes are equal in value ($1.10)
And they exchange 1 dollar and 10 dimes which is also the same amount. So they will be the same.
Yes "3x8 = 4x6" does illustrate the commutative property of multiplication.
Answer:
4 inches.
Step-by-step explanation:
The height of a rectangle is reduced by Shawna to a size of 2 inches.
The original width of the rectangle was 24 inches and the height was 12 inches.
If the ratio of width to height remains the same, then we can find the new width.
If the new width is x inches then, we can write
⇒ x = 4 inches. (Answer)
9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)