Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
Answer:
![\sqrt{-5}=i\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B-5%7D%3Di%5Csqrt%7B5%7D)
![\sqrt{-25}=5i](https://tex.z-dn.net/?f=%5Csqrt%7B-25%7D%3D5i)
Step-by-step explanation:
i is an imaginary unit, this means
![i^2=-1](https://tex.z-dn.net/?f=i%5E2%3D-1)
Rewrite -5 as ![5\cdot (-1)=5\cdot i^2,](https://tex.z-dn.net/?f=5%5Ccdot%20%28-1%29%3D5%5Ccdot%20i%5E2%2C)
then
![\sqrt{-5}=\sqrt{5i^2}=\sqrt{5}\cdot \sqrt{i^2}=\sqrt{5}\cdot i=i\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B-5%7D%3D%5Csqrt%7B5i%5E2%7D%3D%5Csqrt%7B5%7D%5Ccdot%20%5Csqrt%7Bi%5E2%7D%3D%5Csqrt%7B5%7D%5Ccdot%20i%3Di%5Csqrt%7B5%7D)
Rewrite -25 as ![-25=25\cdot (-1)=25\cdot i^2,](https://tex.z-dn.net/?f=-25%3D25%5Ccdot%20%28-1%29%3D25%5Ccdot%20i%5E2%2C)
then
![\sqrt{-25}=\sqrt{25\cdot i^2}=\sqrt{25}\cdot \sqrt{i^2}=5\cdot i=5i](https://tex.z-dn.net/?f=%5Csqrt%7B-25%7D%3D%5Csqrt%7B25%5Ccdot%20i%5E2%7D%3D%5Csqrt%7B25%7D%5Ccdot%20%5Csqrt%7Bi%5E2%7D%3D5%5Ccdot%20i%3D5i)
Answer: 280
to find volume it's Length x Width x Height
8x7x5 = 280
Answer:
<h2>116</h2>
Step-by-step explanation:
103 1/2 + 12 = 115 1/2
1/2 + 115 1/2 = 116.
Answer:
$129.02
Step-by-step explanation:
$120 multiplied by the sales tax 1.0752 = $129.024; Round .024 to the nearest tenths to get .02