Answer:
18/2 : 9
Step-by-step explanation:
The answer is B. the inequality will always look like that when “at least” is mentioned.
Step-by-step explanation:
13? i forgot all this math XD
Answer: $58.33 (Rounded bc it ends up in becoming a decimal)
Explanation: Let's make an equation for this problem. We know that if she works 3 hours for $25, 3*2=6 with 1 hour leftover. We can substitute those 6 hours for 2 sets of the 3 hours, giving us $50 so far. For the last hour, we have to divide 25 by 3 because it's only 1 hour instead of 3, meaning she'll get paid a third of the original pay rate. 25/3 equals 8.33333333334, so we'll just round that to 8.33, since it's cash. 50+8.33=$58.33. So, you'd earn 58 dollars and 33 cents for working for 7 hours.
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
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<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.