Answer to the first problem is 3 3/9
Reasoning:
To do these equations, you must change the mixed numbers into just fractions. I will do the first problem :)
2 divided by 3 2/3.
The first step in solving this equation is changing 3 2/3 back into a fraction.
To do this, do the denominator (3) times the whole number (also 3) and then add the numerator (2). 3 x 3 = 9. 9 is now your numerator and 3 is your denominator. 9/3
After this you want to put 10/1 MULTIPLIED by 3/9 (when dividing fractions you must flip the second fraction AND THEN MULTIPLY)
So 10/1 MULTIPLIED by 3/9 = 30/9
It then wants us to simply our answer. To do this, divide 30/9 by 9. You’ll get 3 3/9 as your answer for question 1!
Here is a pic to look at if you need anymore help!
Answer:
a² + 16a - 612 = 0
Step-by-step explanation:
Here is the complete question :
The width of an extra large rectangle poster is 8 inches more than half its length. The area of this poster is 306 square inches
Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.
Area of a rectangle = length x width
Let length = a
width = 8 + 1/2a
Area = (8 + 1/2a) x a
306 = (8 + 1/2a) x a
multiply both sides of the equation by 2
612 = 16a + a²
a² + 16a - 612 = 0
the dimensions of the poster can be determined using quadratic formula
Answer:
The answer to your question is Domain (-∞, ∞) Range [-4, ∞)
Step-by-step explanation:
The Domain is the set of all possible values of the independent variable (x).
The Range is the set of all the possible values of the dependent variable when substitute the domain in the function.
On the graph, we find the domain looking at the x-axis
On a graph, we find the range, looking at all the y-axis
In this graph, x has values from -infinite to infinite, then, the domain is (-∞, ∞).
In this graph, y has values from -4 to infinite, then, the range is [-4, ∞)
Answer: It is about 23 feet.
Step-by-step explanation:
1. Let's call <em>x</em> the height of the mast.
2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.
3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:

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