A book sold 42,100 coples in its first month of release. Suppose this represents 6.6% of the number of coples sold to date. How
1 answer:
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Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
Divide both sides by 2.
Splitting the middle term, we get
Using zero product property, we get
or
or
For , the side AE is negative. So,
is not possible.
Therefore, the required solution is .
Either would work, but substitution looks a bit easier.
The graph for these two is shown below.
I just put the equations in just as they are written. They did not have to be changed in any way. DESMOS is a wonderful program. Very powerful.
The blue line is 2x + y = - 6
The red line is y = x + 3
The best way to solve this other than a graph is to use substitution. Put the red graph into the blue one.
2x + y = - 6
2x +(x + 3) = - 6
2x + x + 3 = - 6
3x + 3 = - 6 Subtract 3 from both sides.
3x = - 6 - 3
3x = - 9
x = -9/3
x = -3
Now go back and solve for y
y = x + 3
y = -3 + 3
y = 0
Answer
The solution point is (-3,0) just what the graph shows.
