Answer:
7.900 cm
Step-by-step explanation:
The computation of the diameter after using the tape is given below:
Since the circumference is 14.8 cm
And it would be decrease by 2.4 cm
So, the new circumference is
= 14.8 - 2.4
= 12.4 cm
Now the radius is
= 12.4 ÷ π
= 3.95
And, the diameter is
= 3.95 × 2
= 7.900 cm
3: 8 4: 11 6: 15 7: 17 8: 9 10: 7 11: 13 12: 9
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
Answer:
Step-by-step explanation:
The formula for the length of an arc is s = rФ.
Thus, the arc length of a semicircle is S = rФ/2.
Here the radius is 5 (half the diameter), and so in this case the arc length is
S = (5 units)π/2, or S = (5/2)(3.14) units, or approximately S = 7.85 units
Answer:
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