Based on the side lengths given (a, b, and o, which triangles are right triangles?

2 & 3

Step-by-step explanation:

Pythagorean Theorem is .

If the values given in each option satisfy the theorem, the sides will make a right triangle.

The sides would not make a right triangle.

The sides would make a right triangle.

The sides would make a right triangle.

The sides would not make a right triangle.

The correct answer should be options two and three.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x