Answer:
a
Step-by-step explanation:
We are looking for an exponential function 
where r is less than 1.
a works because it is in the form where r is less than 1.
b is in the form but r is more than 1.
c. and d. are not even exponential functions.
c. is a polynomial
d. is a constant polynomial (no variable)
Answer: -4
Step-by-step explanation:
m=
y2−y1/
x2−x1
=
3−−1
/3−4
=
4/
−1
=−4
Answer:
The distance of the airplane to the airport is 1421.26 miles.
Step-by-step explanation:
We are given the following information in the question:
An airplane takes off from an airport and travels 1100 miles east and then travels 600 miles north.
We could use the distance formula to calculate the distance between the airport and the airplane.
Another method that can be used is the Pythagoras theorem.
The attached image shows the scenario.
According to Pythagoras theorem:
In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
, where c is the hypotenuse of the triangle that is the side opposite to the right angle.
The distance between airport and airplane is the hypotenuse of the right angled triangle as show in the figure.
The distance of the airplane to the airport is 1421.26 miles.
Answer:
Step-by-step explanation:
= 7850/12
= 654.66
= 7850+654.66*2
= 9158.33
Answer:
OC = 16.7 cm
OAB = 332.9 cm² (1d.p)
OABD = 589.9 cm²(1d.p)
ABD = 257.1 cm²
Step-by-step explanation:
It is given that OC is 90° perpendicular to the line AB. In order to find OC, you can use Trigonmoetric formula, cosθ = adj./hypo. :
cosθ = adj./hypo.
adj. = OC cm
hypo. = 26 cm
θ = 100° ÷ 2
= 50°
cos 50 = OC/26
OC = 26 cos 50
= 16.7 cm (1d.p)
Next, is to find the area of triangle OAB using A = (1/2)×a×b×sinc :
a = 26 cm
b = 26 cm
c = 100°
A = (1/2)×26×26×sin 100
=332.87 cm² (2d.p)
Then, find the area of sector OABD using A = (θ/360)×π×r² :
θ = 100°
r = 26 cm
A = (100/360)×π×26²
= 589.92 cm² (2d.p)
Lastly, to find the area of segment ABD, you can to substract the area of triangle from the area of sector :
A = 589.92 - 332.87
= 257.1 cm² (1d.p)
