<u>Equivalent and Fully Simplified:</u>
8+7x+4y
<u>Equivalent and not fully simplified:</u>
8+12x-5x+4y
15+7x+4y-7
<u>Note Equivalent:</u>
15-7x-4y
8+17x+4y
8+11y
Step-by-step explanation:
Given expression is:
We will simplify the expression one by one
Now we can categorize the expressions in boxes given below
<u>Equivalent and Fully Simplified:</u>
8+7x+4y
<u>Equivalent and not fully simplified:</u>
8+12x-5x+4y
15+7x+4y-7
<u>Note Equivalent:</u>
15-7x-4y
8+17x+4y
8+11y
Keywords: Expressions, simplification
Learn more about expressions at:
#LearnwithBrainly
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In terms of diameter (d), the area (A) of a circle is given by
A = (π/4)d²
For your larger circle ...
A = (π/4)*(24 km)²
A = 144π km² . . . . . . . . area of larger circle
For your smaller circle ...
A = (π/4)*(8 km)²
A = 16π km² . . . . . . . . . area of smaller circle
The ratio of the two areas is
(larger area)/(smaller area) = ((π/4)*(24 km)²) / ((π/4)*(8 km)²)
= (24/8)² . . . . . . . . . . . . π/4, km cancel, so it simplifies to this
= 3²
= 9 . . . . . . this many small circles have the same area as the larger circle
Changing km to ft does not change the ratio of areas.
It’s easier if you turn the fractions into decimals and arrange them in order from biggest to smallest. 3/4= 0.75, 5/6= 0.83, 7/9= 0.77, 1/2= 0.5, 2/3= 0.66, 7/12= .583, 15/24= 0.625. Then obviously, you order them from biggest to smallest:
0.83 (5/6), 0.77 (7/9), 0.75 (3/4), 0.66 (2/3), 0.583 (7/12), 0.5 (1/2).
Answer:
1.875
Step-by-step explanation:
The rate of change is the derivative of the function.
So, the rate of change is
f'(8) - f'(2) = - 0.625 + 2.5 = 1.875
The factors of 100 are . . .
1, 2, 4, 5, 10, 20, 25, 50, and 100 .
