Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.\:
Answer: D
Step-by-step explanation: a reflection across the line x=-1
Answer:
27 Chickens
Step-by-step explanation:
<em>Represent the chicken with A and the cows with B</em>
Given
A has 2 legs and B has 4; So:
Required
Determine A and B
Make B the subject of formula in the first equation
Substitute 30 - A for B in the second equation
Open the bracket
Collect Like Terms
Divide through by -2
<em>Hence, the farmer has 27 chickens</em>
(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)
Answer:
r = 9
Step-by-step explanation:
First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5
Now plug that into C = 2πr: 2π*(13.5) = 27π
The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π
Now plug that into A = πr^2 and solve for r:
(edited to correct a brain fart)
Whenever you see <em>x </em> next to a 3, and it says that it equals 9, you know that 3•3=9.