Write and solve a quadratic equation for the situation below. choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation. an isosceles right triangle has sides that are x + 2 units long and a hypotenuse that is 8 units long. what is the length of the missing sides of the triangle?

2(x^2 + 4x - 28) = 0.

The length of the missing sides are:

4√2 units.

or 5.66 units ( to the nearest hundredth).

Step-by-step explanation:

Applying the Pythagoras Theorem:

8^2 = (x + 2)^2 + (x + 2)^2

2(x^2 + 4x + 4) = 64

2x^2 + 8x + 8 - 64 = 0

2x^2 + 8x - 56 = 0

2(x^2 + 4x - 28) = 0  models the situation.

Solving:

x = [- 4 +/- √(4^2-4*1*-28)]  / 2

= (-4 +/- √128) / 2

= (-4 + 8√2) / 2 ,   (-4 - 8√2) / 2  (we ignore this negative root).

= -2 + 4√2.

This is 3.66 to the nearest hundredth.

So the  length of the 2 equal sides is 2 + (- 2 + 4√2) = 4√2.

or  5.66 to the nearest hundredth.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

i can you with this sweetie!

step-by-step explanation: