The size of a computer monitor is usually given by length of its diagonal. a monitor's aspect ratio is the ratio of its width to its height .this monitor has a diagonal length of 19 inches and an aspect ratio of 5: 4 .what are the width and height of the monitor? round to the nearest tenth of an inch

The Length of monitor is 14.84 inches And Width of monitor is 11.87

Step-by-step explanation:

Given as :

The length of diagonal of rectangular monitor = 19 inches

The length to width ratio is 5:4

So , Let the Length of monitor = 5x

and The Width of monitor  = 4x

Now, From Pythagoras theorem

(Diagonal)² = Length² + width²

Or, 19² = (5x)² + (4x)²

Or, 361 = 25x² + 16x²

Or, 41x² = 361

So, x² = 8.804

∴  x = = 2.967 inches

So, The length = 5x = 14.835 inches

And The width = 4x = 11.868 inches

Hence The Length of monitor is 14.84 inches And Width of monitor is 11.87 Answer

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct