Given:
The equation of the curve is:
To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,
Differentiate the given equation with respect to x.
Now we need to find the value of this derivative at (2,7).
Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
When 10 meters of something is divided into 6 equal parts,
then each part is (1,666 and 2/3) millimeters long.
A). Whole number . . . No, that's not a whole number
B). Interger . . . No, there's no such thing as an 'interger'.
C). Rational number . . . Yes, its the ratio of 10,000 to 6 .
D). Irrational number . . . No, it's not irrational.
Answer:
The approximate area of the circle is 27.5184∧2
Step-by-step explanation:
In order to calculate the approximate area of the circle we would have to calculate the following formula:
approximate area of the circle=approximate area of one triangle*number of congruent sectors
number of congruent sectors=16
approximate area of one triangle=1/2*base*height
base=1.17 units
height=2.94 units
Therefore, approximate area of one triangle=1/2*1.17*2.94
approximate area of one triangle=1.7199 units∧2
Therefore, approximate area of the circle=1.7199 units∧2*16
approximate area of the circle=27.5184∧2
Answer:
The answer is 5.9
Step-by-step explanation:
1) Subtract 31.7 from both sides.
2) Simplify 14 - 31.7 to -17.7
3) Divide both sides by -3.
4) Simplify -17.7/-3 to 5.9
5) Switch sides.
Therefor, the answer is x = 5.9.
