The diagonal of a rectangle is 15cm, and the perimeter is 38cm. What is the area?

Hey dude!

a² + b² = 15² = 225

P = 2a + 2b = 2(a + b) = 38

P² = 4(a + b)² = 38²

4(a² + 2ab + b²) = 1444

Substitute a² + b² with 225

4(2ab + 225) = 1444

2ab + 225 = 361

2ab = 136

ab = 68 cm²

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

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !