Answer: ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Use the formula for calculate the distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Calculate the distance AB. Substitute the coordinates into the formula. Then:
![d_{AB}=\sqrt{(8-0)^2+(8-(-7))^2}](https://tex.z-dn.net/?f=d_%7BAB%7D%3D%5Csqrt%7B%288-0%29%5E2%2B%288-%28-7%29%29%5E2%7D)
![d_{AB}=17](https://tex.z-dn.net/?f=d_%7BAB%7D%3D17)
Calculate the distance A'B'. Substitute the coordinates into the formula. Then:
![d_{A'B'}=\sqrt{(2-6)^2+(1-5-(-6))^2}](https://tex.z-dn.net/?f=d_%7BA%27B%27%7D%3D%5Csqrt%7B%282-6%29%5E2%2B%281-5-%28-6%29%29%5E2%7D)
![d_{A'B'}=\frac{17}{2}](https://tex.z-dn.net/?f=d_%7BA%27B%27%7D%3D%5Cfrac%7B17%7D%7B2%7D)
As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.
Answer:
An example is x^2 + x - 2 = 0.
Step-by-step explanation:
An equation of degree 2 is one where there the highest degree is 2 like the x^2 in the answer.
Answer:
Thus, n = 4 is the solution.
Step-by-step explanation:
1. perform the indicated multiplication, obtaining 3n + 24 = 36
2. Subtract 24 from both sides: 3n = 12
3. Solve this result for n: n = 12/3. Thus, n = 4 is the solution.
Answer:
I
Step-by-step explanation:
Answer:
x = -8
y = -10
Step-by-step explanation:
Elimination
2x - 3y = 14
5x - 3y = -10
__________--
-3x = 24
x = 24/-3
x = -8
Subsitution
2x - 3y = 14
2(-8) - 3y = 14
-16 - 3y = 14
-3y = 14 + 16
-3y = 30
y = 30/-3
y = -10