Answer:
1/25
Step-by-step explanation:
5^4/5^6
Since we are dividing exponents with the same base, we subtract the exponents
5^( 4-6)
5^-2
We know that a^-b = 1/a^b
1/5^2
1/25
The perimeter of a rectangle is represented by 4x^2 + 5x − 2. The perimeter of a smaller rectangle is represented by x^2 + 3x + 5. Which polynomial expression BEST represents how much larger the first rectangle is than the smaller rectangle?
A) 3x^2 + 2x − 7
B) 3x^2 + 2x − 3
C) 3x^2 + 8x + 3
D) 5x^2 + 8x − 7
<h3><u>Answer:</u></h3>
Option A
The polynomial expression best represents how much larger the first rectangle is than the smaller rectangle is
<h3><u>Solution:</u></h3>
Perimeter of a rectangle is represented by 4x^2 + 5x − 2
Perimeter of a smaller rectangle is represented by x^2 + 3x + 5
To Find : Polynomial expression that represents how much larger the first rectangle is than the smaller rectangle.
Which means we have to find difference between perimeter of both rectangles
Subtract the equation of perimeter of smaller rectangle from equation of perimeter of a larger rectangle
Difference = perimeter of a larger rectangle - perimeter of smaller rectangle
On removing the brackets we get,
Thus option A is correct
1 22. 1 13
11 22. 13 13
22 22
answer 1 (-22m -13n)
Answer:
correct
Step-by-step explanation:
dividing both quantities in a ratio by the same non zero number does indeed find an equivalent ratio.
for example
60 : 36 ( divide both parts by 6 )
= 10 : 6 ← equivalent ratio ( divide both parts by 2 )
= 5 : 3 ← equivalent ratio in simplest form
in fact dividing the original by the HCF of the 2 quantities gives the ratio in simplest form immediately , that is
60 : 36 ( divide both parts by 12 )
= 5 : 3
6x60=360. 4 quarts is equal to 1 gallon so multiply 360 by 4 and you’d get 1440. So the answer should be 1440.