Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
You want the explanation. Or answer?
Answer:
39 feet
Step-by-step explanation:
take the tree as AB , the distance between the man and the tree as BC, the distance between the man and the tip of the shadow CD and the point intersecting the hypotenuse CE
since CE parallel to AB we can BPT
CE/AB = CD/BD
6/32= CD/48
CD = 9 feet
since CD is feet
BC is 48-9 = 39 feet
The equation 3x - 2y = 8 and 6x - 4y = 16 are systems of equations with infinite solutions.
A linear system of equations can have (a)unique solutions, (b) infinite number of solutions, or (c) no solution.
For it to have infinite number of solutions, the graph of the equations must intercept with each other at infinite points, leaving the two graphs overlaying each other.
Given the equation, 3x - 2y = 8, the other equation in a linear system to have infinite number of solutions with it must be the exact same line.
To do this, simply multiply the whole equation with a real number.
Example:
Multiplying the whole equation by 2 gives 6x - 4y = 16.
Now, 3x - 2y = 8 and 6x - 4y = 16 are equations in a linear system with infinite number of solutions.
If you want to know more about systems of equations with infinite solutions, visit brainly.com/question/27927692.
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