Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x =
= 12
Then
length of chord = 2x = 2 × 12 = 24 cm
Answer:
x=\frac{2y-3}{y}
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The function is 
To find the maximum population, we need to set t towards infinity to get our answer.
So, we replace time with maximum (
). Let's check:

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.
Correct answer is A
Answer: The midpoint M is located at (6,4)
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Explanation:
First focus on just the x coordinates of points S and T, which are 5 and 7 respectively. Add them up to get 5+7 = 12. Then divide that in half to get 12/2 = 6. This is the x coordinate of the midpoint.
Repeat for the y coordinates of S and T. First add up the values: 7+1 = 8. Then divide by 2 to get 8/2 = 4. This is the y coordinate of the midpoint.
The two results we get are then written as an ordered pair getting us the answer (6,4)