Answer:
1) Yes
Product of Means = Product of Extremes
4 × 21 = 7 × 12
84 = 84
2) No
Product of Means = Product of Extremes
2 × 2 = 3 × 3
4 ≠ 9
3) No
Cross multiplying
3 × 6 = 4 × 8
18 ≠ 32
4) Yes
Cross Multiplying
1 × 25 = 5 × 5
25 = 25
Answer:
21 = -10m - 3
Add 3 to both sides:
24 = -10m
Divide by -10 on both sides:
-2.4 = m
Answer: ![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
Step-by-step explanation:
slope is calculated with the formula :
![m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![x_{1} =-1](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D-1)
![x_{2} = 2](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%202)
![y_{1} = 6](https://tex.z-dn.net/?f=y_%7B1%7D%20%3D%206)
= ![-3](https://tex.z-dn.net/?f=-3)
Substituting into the formula , we have
![m = \frac{-3-6}{2-(-1)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-3-6%7D%7B2-%28-1%29%7D)
![m = \frac{-9}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-9%7D%7B3%7D)
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
Area of circle 1 = πr²
Area of circle 1 = π (10)²
Area of circle 1 = 100π km²
Area of circle 2 = πr²
Area of circle 2 = π (5)²
Area of circle 2 = 25π km²
Number of times the bigger circle is greater than the smaller circle
![\dfrac{100 \pi }{25 \pi } = 4](https://tex.z-dn.net/?f=%20%5Cdfrac%7B100%20%5Cpi%20%7D%7B25%20%5Cpi%20%7D%20%3D%204%20)
------------------------------------------------------------------------------------
Answer: The big circle is 4 times greater than the small circle.------------------------------------------------------------------------------------