Examine the diagram, where the secant segment AP intersects the circle at points A and B, and the secant segment CP intersects t
he circle at points C and D. The lines intersect outside the circle at point P.
A circle, with no center shown, as described in the text. Segment A B equals 5, segment B P equals 7, and segment C P equals 14.
What is the length of PD¯¯¯¯¯¯¯¯?
Enter the correct value.
A circle, with no center shown, as described in the text. Segment A B equals 5, segment B P equals 7, and segment C P equals 14.
What is the length of PD¯¯¯¯¯¯¯¯?
Enter the correct value.
2 answers:
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First of all, remember what the equation of a line is:
Where:
m=slope
b=y-intercept.
Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope
Because we were given the point (14,3)
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We need to find the value of b. The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).
<span>Plug in for x the number 14 and for y the number 3:</span>(14,3).
y=mx+b or 3=2 × 14+b,
solving for b: b=3-(2)(14). b=-25.<span>Plug that in for b:
</span><span>y=2x-25
<span>Final answer:
</span><span>y=2x-25</span></span><span><span>
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