Answer:
y = -4x - 38
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

Apply the distributive property to find the slope intercept form.
y + 2 = -4(x+9)
y + 2 = -4x - 36
y = -4x - 38
$49 As 1 bag is $1.50. Multiplied by 30 results in $45. Then, add the price of the gallon to get a total of $49.00
Answer:
Step-by-step explanation:
volume of sphere = (4/3)πr³
Difference= [(4/3)*π*6³]-[(4/3)*π*3³]
![=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi](https://tex.z-dn.net/?f=%3D%5Cpi%2A%5B%28%5Cfrac%7B4%7D%7B3%7D%2A6%2A6%2A6%29%20-%20%28%5Cfrac%7B4%7D%7B3%7D%2A3%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%2A%5B%284%2A2%2A6%2A6%29-%284%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%20%2A%5B288-36%5D%5C%5C%5C%5C%3D252%5Cpi)
In 36 days will the science and math teachers both give tests on the same day again.
<u>Step-by-step explanation:</u>
Here we have , The 6th grade science teacher gives a test every 12 days and the math teacher gives a test every 9 days. Today, both the science and math are giving tests. We need to find In how many days will the science and math teachers both give tests on the same day again . Let's find out:
It's given that science teacher gives a test every 12 days and the math teacher gives a test every 9 days . In order to find the number of days after which they'll give test at same day , we will find LCM of 12 & 9 . i.e.
⇒
and ,
⇒ 
Hence , LCM of 12 and 9 is 36 . Therefore , In 36 days will the science and math teachers both give tests on the same day again.
Answer:
Three fractions between 1/2 and 1 are 3/4, 4/5, and 5/6.