Nelson goes to three main places most days school, work and his home. They are graphed below. What is the distance between his h
ome and his work? 4.2 9.5 11.2 90
1 answer:
ANSWER
9.5
EXPLANATION
To find the distance between home and work, we have to use the formula:
![D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have that home is at point (3, -3) and work is at point (0, 6).
Therefore:
(x1, y1) = (3, -3)
(x2, y2) = (0, 6)
Therefore, we have that:
![\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%280-3%29%5E2%2B%286-%28-3%29%29%5E2%7D%20%5C%5C%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%286%2B3%29%5E2%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%289%29%5E2%7D%20%5C%5C%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B9%5Ctext%7B%20%2B%2081%7D%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B90%7D%20%5C%5C%20D%5Ctext%7B%20%3D%209.5%7D%20%5Cend%7Bgathered%7D)
The answer is 9.5
You might be interested in
Answer:
B
Step-by-step explanation:
It’s B
ABD=CBD=1/2 ABC
Answer:
angle 1 = 135 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>The given translation doesn't change the shape or dimensions, hence the area remains same:</u>
- A = a² = (12 cm)² = 144 cm²
Add 3.26d+9.75-2.65
13.01y - 2.65
Answer:
186 minutes.
Step-by-step explanation:
33.63 to start.
take away the service fee of 18.75
14.88
divide 14.88 by 0.08
186