The graph of a single linear inequality splits the coordinate plane<span> into two regions. On one side lie all the solutions to the inequality. On the other side, there are no solutions. Consider the graph of the inequality </span>y<span> < 2</span>x<span> + 5.
</span>
Answer:
c
Step-by-step explanation:
do not comment on this or else...........................
9514 1404 393
Answer:
y = 11.2 in
Step-by-step explanation:
The product of segment lengths to the near and far intersection points of the secant with the circle are the same for all secants from the same external point. Here, there are three, so we have the relations ...
9×9 = 5(5+y) = x(x+19)
Then the value of y can be found as ...
81/5 = 5+y
16.2 -5 = y = 11.2
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The value of x is a little trickier, as a quadratic is involved.
81 = x² +19x
81 + 90.25 = x² +19x +90.25 . . . . complete the square
171.25 = (x +9.5)²
x = √171.25 - 9.5 ≈ 3.58625...
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<em>Additional comment</em>
For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)
I find it easier to remember one rule, rather than a separate rule for tangents. With some imagination, the same rule can be applied when the "secants" meet <em>inside</em> the circle. In that case, they are called "chords".
We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)
Part 1:
Variable x - number of the hours.
Variable y - her total income.
y = f ( x ), Her total income is a function of the hours she worked.
Part 2 :
The function is: y = 15 * x
Part 3 :
f ( 35 ) = 15 * 35 = $525
f ( 29 ) = 15 * 29 = $435
Week 1 : Ashley worked 35 hours. She earned $525.
Week 2: Ashley worked 29 hours. She earned $435.
