Answer:
6 units
Step-by-step explanation:
Since the x coordinate is the same, we only have to look at the difference of the y coordinates
2 - -4
2+4
6
The distance is 6 units
Answer:
.7
Step-by-step explanation:
The tenth place decimal is the one directly to the right of the decimal point. This means your guide (the number deciding whether you round up or down is in the hundredths. Your guide is over 5 meaning the 6 round up to 7.
Answer:
(-1/2,1/2)
Step-by-step explanation:
We have the two endpoints
(-3,-2) and ( 2,3)
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-3+2)/2 = -1/2 =-1/2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(-2+3)/2 = 1/2
The midpoint is (-1/2,1/2)
Answer: 28+14 = 7 (4+2)
Step-by-step explanation:
- The first option is incorrect because after you distribute 7 into (4 + 14), you get 28 + 14 = 28 + 98.
- The second option is incorrect because after you distribute 4 into (7 + 2), you get 28 + 14 = 28 + 8.
- The third option is incorrect because after you distribute 4 into (14 + 28), you get 28 + 14 = 56 + 112.
- The fourth option is correct because after you distribute 7 into ( 4 + 2), you get 28 + 14 = 28 + 14.
Answer:
![\displaystyle \log_7\frac{1}{81}\approx -2.2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clog_7%5Cfrac%7B1%7D%7B81%7D%5Capprox%20-2.2)
Step-by-step explanation:
We want to find:
![\displaystyle \log_7{\frac{1}{81}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clog_7%7B%5Cfrac%7B1%7D%7B81%7D%7D)
First, using the quotient rule:
![\displaystyle \log_b\frac{a}{c}=\log_b a-\log_b{c}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clog_b%5Cfrac%7Ba%7D%7Bc%7D%3D%5Clog_b%20a-%5Clog_b%7Bc%7D)
We can rewrite our expression as:
![=\log_7 1-\log_7 81](https://tex.z-dn.net/?f=%3D%5Clog_7%201-%5Clog_7%2081)
The logarithm of 1 is always 0. Therefore:
![=-\log_781](https://tex.z-dn.net/?f=%3D-%5Clog_781)
We can rewrite this as:
![=-\log_7 9\cdot 9](https://tex.z-dn.net/?f=%3D-%5Clog_7%209%5Ccdot%209)
Using the product rule:
![\log_b ac=\log_ba+\log_bc](https://tex.z-dn.net/?f=%5Clog_b%20ac%3D%5Clog_ba%2B%5Clog_bc)
This is equivalent to:
![=-(\log_79+\log_79)](https://tex.z-dn.net/?f=%3D-%28%5Clog_79%2B%5Clog_79%29)
Substitute:
![=-(1.1+1.1)=-2.2](https://tex.z-dn.net/?f=%3D-%281.1%2B1.1%29%3D-2.2)