Can someoneexplain . how long is the hypotenuse of an isosceles right triangle whose area is 4?

4 units long.

Step-by-step explanation:

The 2 legs of an isosceles right angles triangle are equal .

So the area = 1/2 * x^2     where x = length of a leg.

1/2x^2 = 4

x^2 = 8

x = √8

So the length of the hypotenuse is found using the Pythagoras theorem:-

h^2 =   (√8)^2 +  (√8)^2

h^2 = 16

h = 4  (answer).

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have