Using the completing the square method, for the equation, we have the zeros as <u>x = √26 + 4 and x = 4 - √26</u>
<h3>How can the zeros be found using completing the square method?</h3>
The given equation is presented as follows
Which, by completing the square, gives;
The zeros of the equation;
are;
Learn more about completing the square here:
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Area = length X width
A = L(12 ft) x W(9 ft) but since the cost of carpet is given in square yards not square feet we need to convert
A = (12 ft)(1 yd/3 ft) x (9 ft)(1 yd/3 ft) 1 yard = 3 feet so 1 foot = 1/3 yard
A = 4 yd x 3 yd divide by 3 ft which cancels the original ft and leaves yd's
A = 12 square yards
Cost = Area x price per yard
Cost = 12 sq yd X $35.00/ sq yd multiply and the sq yd's cancel leaving just cost in dollars
Cost = $420.00
Answer:
1) D: All of the above.
2) A: No solution
3) B: One solution
Step-by-step explanation:
<h3>1. The systems of linear equations can be solved through the following methods: </h3>
Graphing method: Using the slope and y-intercepts of each equation to plot points and graph the lines to see whether the given system has a <u>point of intersection</u> as a solution.
Elimination method: this involves either <u>adding</u> (when the coefficients have opposite signs) or <u>subtracting</u> (when the coefficients have the same sign).
Substitution method: involves solving for one of the variables of either equations, and substituting the values of that expression into the other linear equation in the system.
Therefore, the correct answer is Option D: All of the above.
<h3>2. Graph of Parallel Lines:</h3>
Given the graph of parallel lines, which means that they will never have a point of intersection. Therefore, the given systems of linear equations have no solution. Therefore, the correct answer is Option A: No solution.
<h3>3. Graph of Two Intersecting lines</h3>
Given the graph of two non-perpendicular intersecting lines, it means that they have <u>one point of intersection</u> that represents the <em>solution</em> to the given system.
Therefore, the correct answer is Option B: One solution.
Answer:
dunoo lol
Step-by-step explanation:
We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!
