What is the length of the diagonal of a rectangle whose width is 90 cm and whose length is 200 cm? (round your answer to the nearest whole centimeter.)

the answer is c.

Step-by-step explanation: Let W, L and D = the width, length and diagonal of the rectangle, respectively.  

Then, by the Pythagorean theorem,  

W^2 + L^2 = D^2

<=>

D = sqrt(W^2 + L^2)

= sqrt(90^2 + 200^2)

= sqrt(48100)

= 10 sqrt(481)

None of the choices offers an exact solution. However, an approximate solution is:  

10 sqrt(481) ≈ 219.317,  

which rounds to 219, so the closest answer is C.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)