Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Write an expression using letters and/or numbers for each problem below"</h3>
For this exercise it is necessary to remember the following:
1. The word "times" indicates multiplication,
2. The word "combined" indicates addition.
In this case let "m" represents the amount of miles that Madison runs and let "a" represents the amount of miles that Aaliyah runs.
Based on the explained above, you know if the amount of miles that Madison runs and the amount of miles that Aaliyah runs are combined (or in other words, they are added), then the expression that represents this would be:
Therefore, you can determine that "4 times as many miles as Madison and Aaliyah combined", can represented with the following expression:
Answer:
x=4/5
Step-by-step explanation:
Zeros are the x values which make the function equal to zero. Set it up as you would for a binomial with a constant multiplier "k" to account for the y-intercept (0, -5) given.
f(x) = k(x-2)(x-3)(x-5)
Use the y-intercept (0,-5) to solve for k.
-5 = k(0-2)(0-3)(0-5)
-5 = -30k
-5/-30 = k
1/6 = k
The cubic polynomial function is then ..
f(x) = (1/6)(x-2)(x-3)(x-5)
Linear factors are the linear (line) expressions you can factor out of the polynomial. They are (x-2), (x-3) and (x-5).
Answer:
see explanation
Step-by-step explanation:
(a)
The angle around the centre O of the circle = 360°, then
∠ AOB = 360° - 260° = 100°
Δ AOB is isosceles ( the radii OA and OB are congruent )
The altitude from O bisects ∠ AOB , thus
y = 50°
Since the triangle is isosceles the 2 base angles are congruent, so
x = 
= 
= 40°
(b)
∠ POR = 360° - 254° = 106°
Δ POR is isosceles (the radii OP and OR are congruent ) , then
the 2 base angles are congruent , thus
a = 
= 
= 37°
Arc length = radius * central angle (radians)
central angle (radians)= arc length / radius
central angle (radians)= 60 / 15
central angle (radians)= 4 radians
sector area =(central angle / 2) * radius^2
sector area = (4 / 2) * 225
sector area = 450
Source:
http://www.1728.org/radians.htm
