Can anyone please help me Two circles of radii 3cm and 4cm have the same total area as a third circle. What is the radius of the third circle.

5 cm

Step-by-step explanation:

Area of 3 cm circle

A = pi r^2 = pi *3^2 = 9pi

Area of 4 cm circle

A = pi r^2 = pi *4^2 = 16pi

The area of the new circle is 16pi+9pi = 25 pi

25 pi = pi r^2

Divide each side by pi

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 = r

The radius is 5

can you me with homework?

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions