Answer:
Answer: 36,000 would be 20 percent. 72,000 would be 40 percent. Step-by-step explanation: You just divide 36,000 by 180,000
Answer:
3
Step-by-step explanation:
area = side length times side length
therefore x * x = 9
therefore x^2 equals 9
square root both and x = 3.
Answer:
b. x - 2y = 4
Step-by-step explanation:
The two points on the graph are (0, -2) and (4, 0).
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-2)) / (4 - 0)
= 2 / 4
= 1 / 2
Find y intercept using anyone of the points above:
y = mx + b
-2 = 1/2(0) + b
b = -2
Use m and b to make equation of line:
y = mx + b
y = 1/2x - 2
Possible answers:
a. 4x - 2y = 4
-2y = -4x + 4
y = 2x - 2
b. x - 2y = 4
-2y = -x + 4
y = 1/2x - 2
c. -2x + 4y = -4
4y = + 2x - 4
y = 1/2x - 1
Only choice b equals the equation of line above.
Answer:
Proved
Step-by-step explanation:
Given
![(2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=%282%20%2A%2010%5E2%29%20%2A%20%283%20%2A%2010%5E5%29%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Required
Prove
On the right hand side, we have:
![2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=2%20%2A%2010%5E2%20%2A%203%20%2A%2010%5E5%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Rewrite:
![2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=2%20%2A%203%2A%2010%5E2%20%20%2A%2010%5E5%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
![6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=6%2A%2010%5E2%20%20%2A%2010%5E5%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Apply law of indices
![6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=6%2A%2010%5E%7B2%2B5%7D%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
![6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=6%2A%2010%5E7%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Express 6 as 3.5 + 2.5
![(3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=%283.5%20%2B%202.5%29%2A%2010%5E7%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Open bracket
![3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7](https://tex.z-dn.net/?f=3.5%20%2A10%5E7%2B%202.5%2A10%5E7%20%3D%203.5%20%2A%2010%5E7%20%2B%202.5%20%2A%2010%5E7)
Proved