answer:
15 square root of 6i
explanation:
square root of -54 can be re written as square root of -1 and square root of +54, the square root of -1 is basically i, and then the square root of 54 can be written as 9*6 and square root of 9 is 3
3 * 5 (which was outside the square root (see image) = 15 and square root of 6 is left along with the i
Answer:
Take each sale price of each product and divide it by its original price. Subtract from 1. Then multiply by 100.
![(1-\frac{Sales Price}{Original Price}) *100=percent](https://tex.z-dn.net/?f=%281-%5Cfrac%7BSales%20Price%7D%7BOriginal%20Price%7D%29%20%2A100%3Dpercent)
Step-by-step explanation:
A percent is a portion of 100 or the total. We find the percent we pay by taking each sales price and dividing it by the original price. To find the percent off we take that same number and subtract from 1. This will give a decimal which we can convert to a % by multiplying by 100.
Answer:
![\frac{16}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B28%7D)
Step-by-step explanation:
Question asked:
Select all of the ratios that are equivalent to 4 to 7.
1) 5/8
2) 12/10
3) 8.14
4) 5 to 10
5) 16/28
6) 9 to 16
<u>Solution</u>:
To know the ratios are equivalent to
or not, we have to check each by cross multiplication:-
1) ![\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D)
![\frac{4}{7} =\frac{5}{8} \\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B5%7D%7B8%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![4\times8=5\times7\\ \\ 32=35](https://tex.z-dn.net/?f=4%5Ctimes8%3D5%5Ctimes7%5C%5C%20%5C%5C%2032%3D35)
Not equivalent.
2) ![\frac{12}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B10%7D)
![\frac{4}{7} =\frac{12}{10} \\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B12%7D%7B10%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![4\times10=12\times7\\ \\ 40=84](https://tex.z-dn.net/?f=4%5Ctimes10%3D12%5Ctimes7%5C%5C%20%5C%5C%2040%3D84)
Not equivalent.
3) 8.14 = ![\frac{814}{100} \ eliminating\ decimal](https://tex.z-dn.net/?f=%5Cfrac%7B814%7D%7B100%7D%20%5C%20eliminating%5C%20decimal)
![\frac{4}{7} =\frac{814}{100} \\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B814%7D%7B100%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![4\times100=814\times7\\ \\ 400=5698](https://tex.z-dn.net/?f=4%5Ctimes100%3D814%5Ctimes7%5C%5C%20%5C%5C%20400%3D5698)
Not equivalent.
4) ![\frac{5}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B10%7D)
![\frac{4}{7} =\frac{5}{10} \\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B5%7D%7B10%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![4\times10=5\times7\\ \\ 40=35](https://tex.z-dn.net/?f=4%5Ctimes10%3D5%5Ctimes7%5C%5C%20%5C%5C%2040%3D35)
Not equivalent.
5)![\frac{16}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B28%7D)
![\frac{4}{7} =\frac{16}{28} \\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B16%7D%7B28%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![4\times28=16\times7\\ \\ 112=112](https://tex.z-dn.net/?f=4%5Ctimes28%3D16%5Ctimes7%5C%5C%20%5C%5C%20112%3D112)
<em><u>Yes, this is equivalent.</u></em>
6) ![\frac{9}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B16%7D)
![\frac{4}{7} =\frac{9}{16} \\ \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B9%7D%7B16%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![4\times16=9\times7\\ \\ 64=63](https://tex.z-dn.net/?f=4%5Ctimes16%3D9%5Ctimes7%5C%5C%20%5C%5C%2064%3D63)
Not equivalent.
Thus, only
is equivalent.
Answer:All coordinate pairs that are in Quadrant I will have a positive x value and a positive y value. All coordinate pairs that are in Quadrant II will have a negative x value and a positive y value. All coordinate pairs that are in Quadrant III will have a negative x value and a negative y value.
Step-by-step explanation:ebob
Answer:
(0,2)
Step-by-step explanation:
Translated: (0,-2)
Reflected over: (0,2)