Answer:
Multiply both sides of the equation by 1/3
Step-by-step explanation:
3x^2+18x=21
The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation
This is the same as multiplying by 1/3
1/3 * (3x^2+18x)=21*1/3
x^2 +6x = 7
Answer:
options are 3 and 4
Step-by-step explanation:
The difference of squares is defined as In option 1,
It can be written as
It is the sum of squares, therefore the option 1 is incorrect.
In option 2,
The number 40 is not a complete square of any number, therefore option 2 is incorrect.
In option 3,
It can be rewritten as
It is the difference of squares, therefore option 3 is correct.
In option 4,
It can be rewritten as
It is the difference of squares, therefore option 4 is correct.
have a good Day!
Answer:
The area would be 1 : 16 ratio, of the smaller rectangle to the larger one.
Step-by-step explanation:
I used a rectangle with the side length of 1 to model this for me. You can choose any number, but 1 is easy to multiply.
If the original rectangle had a side length of 1 and 1, the area would be 1.
If you reduce the size to 1/4th of the size, the area would be 0.0625, or 1/16th of the original.
I hope this helped!
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Answer:
Medbay
Step-by-step explanation:
