<span>(1,625) No
(0,-25) No
(-1,-1) No
Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be
-25^1 = -25
-25^2 = (-25) * (-25) = 625
-25^3 = (-25)*(-25)*(-25) = -15625
and so on, giving 390625, -9765625, 244140625, etc.
But that's a different subject. For the ordered pairs given, let's check them out.
(1,625)
-25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No".
(0,-25)
-25^0 + 1 = 1 +1 = 2.
Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No".
(-1,-1)
-25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25.
And 24/25 is not equal to -1, so also "No".</span>
Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula
![\frac{a+c}{2} + \frac{b+d}{2} i](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2Bc%7D%7B2%7D%20%2B%20%5Cfrac%7Bb%2Bd%7D%7B2%7D%20i)
A = (-1+9i) and B=(5-3i)
Midpoint for AB is
![\frac{-1+5}{2} + \frac{9+(-3)}{2}i](https://tex.z-dn.net/?f=%5Cfrac%7B-1%2B5%7D%7B2%7D%20%2B%20%5Cfrac%7B9%2B%28-3%29%7D%7B2%7Di)
![\frac{4}{2} + \frac{6}{2}i](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B2%7D%20%2B%20%5Cfrac%7B6%7D%7B2%7Di)
2 + 3i , so midpoint is (2,3)
Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less.
For example, 1/2 is a fraction between 0 and 1. Its percentage is 50%, which is less than 100%. Its decimal is 0.50, which is less than 1 or 0.99
Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality
![3 > -5(0)+3\\3>0+3\\3>3](https://tex.z-dn.net/?f=3%20%3E%20-5%280%29%2B3%5C%5C3%3E0%2B3%5C%5C3%3E3)
Putting (1,0) in inequality
![0>-5(1)+3\\0>-5+3\\0>-2](https://tex.z-dn.net/?f=0%3E-5%281%29%2B3%5C%5C0%3E-5%2B3%5C%5C0%3E-2)
Putting (-3,1) in inequality
![1 > -5(-3)+1\\1> 15+1\\1>16](https://tex.z-dn.net/?f=1%20%3E%20-5%28-3%29%2B1%5C%5C1%3E%2015%2B1%5C%5C1%3E16)
Putting (-1,-2) in inequality
![-2>-5(-1)+3\\-2>5+3\\-2>8](https://tex.z-dn.net/?f=-2%3E-5%28-1%29%2B3%5C%5C-2%3E5%2B3%5C%5C-2%3E8)
The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer