An airplane takes off, levels off, and lands according to the diagram shown below. All measurements listed are in kilometers. What is the horizontal distance from the plane’s starting position to its finishing position? Round your answer to the nearest tenth of a kilometer.

13,3km is nearest 10th  ( which is the same for 1dp 13.3km) (13.32km 2dp)

Step-by-step explanation:

Horizontal distance is need for Pythagoras

Reading measurements given left to right we find;

c-b = a

c-b =x

c-a = b

Finding x

5sq - 3sq = xsq

√25 - √9 = √16 = √x

√16 = √x = 4  

x = 4

Finding y

7sq - 3sq=ysq

√49-√9=√40 = √y

√40 = √y = 6.32

y = 6.32

Therefore x+y+3 = horizontal distance

4 + 6.32 +3 = 13.32km nearest 10th km is 13.3 km

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.