The minute hand will move how many millimeters farther than the hour hand
1 answer:
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The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
Option C
The zeros of the polynomial function f(x) = x^3 - 5x^2 - 6x is x = 0 and x = -1 and x = 6
<h3><u>Solution:</u></h3>Given that polynomial function is f(x) = x^3 - 5x^2 - 6x
We have to find the zeros of polynomial
To find zeros, equate the given polynomial function to 0. i.e f(x) = 0
Taking "x" as common term,
Equating each term to zero, we get
Thus one of the zeros of function is x = 0
Now let us solve
We can rewrite -5x as -6x + x
Taking "x" as common from first two terms and -6 as common from next two terms
Taking (x + 1) as common term,
(x + 1)(x - 6) = 0
x + 1 = 0 and x - 6 = 0
x = -1 and x = 6
Thus the zeros of given function is x = 0 and x = -1 and x = 6