Answer:
Step-by-step explanation:
Simplifying
6-4(2x-8)=-10 Eliminate parenthesis
-8x+38=-10 Subtract 38 from sides
-8x=-48
Then you divide the sides by 8
6
Answer
x=6
The equations for the horizontal and vertical lines passing through the point (6,9) is y = 9 and x = 6 respectively
<u>Solution:</u>
Given, point is (6, 9)
We have to find the equations for horizontal and vertical lines passing through above given point.
Now, let us find horizontal line,
We know that, horizontal line is parallel to x – axis, so slope of our required line is 0.
The point slope form is given as ![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Then, line equation in point slope form ⇒ y – 9 = 0(x – 6)
⇒ y – 9 = 0
⇒ y = 9
Now, let us find vertical line,
We know that, vertical line is parallel to y – axis, so slope of our required line is undefined ![(\frac{1}{0})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B0%7D%29)
Then, line equation in point slope form ⇒ ![y-9=\frac{1}{0}(x-6)](https://tex.z-dn.net/?f=y-9%3D%5Cfrac%7B1%7D%7B0%7D%28x-6%29)
⇒ x – 6 = 0(y – 9)
⇒ x – 6 = 0
⇒ x = 6
Hence, the horizontal line equation is y = 9 and vertical line equation is x = 6.
Answer: 35.5 ounces
Step-by-step explanation:
Given: The label on each small bottle states that the bottle contains 25 ounces of sand.
i.e. Required quantity q = 25 ounces
Company allows a tolerance of (E)10.5 ounces for the amount of sand in each small bottle
i.e. maximum amount of sand, in ounces, that the company allows in
each small bottle = q+E = 25+10.5=35.5 ounces
Hence, the maximum amount of sand, in ounces, that the company allows in
each small bottle = 35.5 ounces