-1/4 the negative reciprocal of the slope of the red line
Answer: Liz is further away. Her distance from Robert is 5 units.
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Work Shown:
R = Robert's location = (4,3)
L = Lucy's location = (6,1)
Z = Liz's location = (1,7)
We need to find the lengths of segments RL and RZ to find out which person (Lucy or Liz) is further from Robert.
Use the distance formula to find the length of each segment. Let's start with the distance from R to L
![d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-6)^2+(3-1)^2}\\\\d = \sqrt{8}\\\\d \approx 2.828427\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_1%2Bx_2%29%5E2%2B%28y_1%2By_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%284-6%29%5E2%2B%283-1%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B8%7D%5C%5C%5C%5Cd%20%5Capprox%202.828427%5C%5C%5C%5C)
The distance from Robert to Lucy is approximately 2.828427 units.
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Now find the distance from R to Z
![d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-1)^2+(3-7)^2}\\\\d = \sqrt{25}\\\\d = 5\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_1%2Bx_2%29%5E2%2B%28y_1%2By_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%284-1%29%5E2%2B%283-7%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B25%7D%5C%5C%5C%5Cd%20%3D%205%5C%5C%5C%5C)
The distance from Robert to Liz is exactly 5 units. We see that Liz is further away from Robert, compared to Lucy's distance from him.
answer:
area: 40cm²
perimeter = 26cm
step-by-step explanation:
- i do not know which one this is telling you to find so i put both area and perimeter
area:
- know the formula
- formula = l x w
- l = length
- w = width
- plug in what you have
l x w
5 x 8
= 40cm²
perimeter:
- for this you just have to each side
- since this is rectangle opposite sides are equal
5 + 5 + 8 + 8
= 26cm
I believe you are getting 67% off
Answer:
slope: -3/5
y-intercept (0,3)
x - y
0 3
5 0
Step-by-step explanation:
I just did it