Answer:
8π in
64π mm²
Step-by-step explanation:
The circumference of a circle is equal to 2πr, where r is the radius.
2π(4) = 8π ≈ 25.132
The area of a circle is equal to πr²
π(8)² = 64π ≈ 201.062
Answer:
The co-ordinates of Q' is (5,2).
Step-by-step explanation:
Given:
Pre-image point
Q(-7,-6)
To find Image point Q' after following translation.

Solution:
Translation rules:
Horizontal shift:

when
the point is translated
units to the right.
when
the point is translated
units to the left.
Vertical shift:

when
the point is translated
units up.
when
the point is translated
units down.
Given translation
shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'=
So, the co-ordinates of Q' is (5,2). (Answer)
The solution is at what point the two lines intersect.
Plug y into the other equation to get: 5x-4(5-3x)=-3
Multiply it out: 5x+12x-20=-3
Combine like terms and add 20 to both sides: 17x=17
Divide both sides by 17: x=1
Now plug the x value back into any equation to get the y value.
So you get y=5-3(1) --> y=2
The solution is (1, 2)
Given:
Consider the three number are given by:



To find:
The three numbers are the Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
We have,



Substituting 4 for x and 1 for y, we get



Similarly,


And,



The three three numbers are the Pythagorean triple are 8,15 and 17.
Therefore, the correct option is C.
The solution set is 
Explanation:
The given equation is 
To determine the solution set of the equation, let us solve the equation.
Adding both sides of the equation by 3, we have,

Taking square root on both sides of the equation, we get,


Thus, the solution of the equation is 
The solution set of the equation is the set which contains all the solutions of the equations.
Thus, writing the solutions of the equation using set notation, we have,

Thus, the solution set is 