Volume unit conversion. 1 gallon = 8 pints.
Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly
17.0045249336018 meters tall
Answer: 17.0045249336018Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Bill should put the brackets around 18-9 so the correct answer is option B. 10- 4 +3 x (18-9)
The simplest form of the given expression can be written as -5x² + 25x - 3.
The given parameters:
2x(x + 6) - 7x² + (13x - 3)
The given expression can be simplified as follows;
2x(x + 6) - 7x² + (13x - 3)
= 2x² + 12x - 7x² + 13x - 3
<em>collect similar terms together</em>
= (2x² - 7x²) + (12x + 13x) - 3
= -5x² + 25x - 3
Thus, the simplest form of the given expression can be written as -5x² + 25x - 3.
Learn more about simplification of algebras here: brainly.com/question/432678