Answer:
Step-by-step explanation:
<u>The ratio of corresponding sides of similar figures is same:</u>
- 3x/20 = (4x + 2)/(20 + 8)
- 3x/20 = (2x + 1) / 14
- 3x(14) = (2x + 1)(20)
- 42x = 40x + 20
- 2x = 20
- x = 10
Answer:
-4r²-3s²
Step-by-step explanation:
Remove unnecessary parentheses:
r²+s²-(5r²+4s²)
Connect like terms:
-4r²+s²-4s²
Simplify/ collect like terms:
-4r²-3s²
Solution:
-4r²-3s²
Answer:
Step-by-step explanation:
M and N and QR
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>
