What expression is equivalent to 121x2-64y
1 answer:
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The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
<h3>How to find one solution of equation?</h3>If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.
The three types of solution of an equation are-
- One solution-When the provides the singe value of the given variable, we get one or unique solution.
- No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
- Infinite many solution-For the same line, the equation has the infinite many solutions.
The first equation given in the problem is,
This equation has one solution. This in not correct option.
The second equation given in the problem is,
This equation has one solution. This in correct option.
Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
Learn more about the solution of the equation here;
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)