The total distance that the family has driven is the sum of the distances from Phoenix to San Francisco,
d = sqrt ((5 - -16)² + (-36 - -12)²) = 10.63
from San Francisco to Blythe,
d = sqrt ((-9 - 5)² + (-20 - -36)²) = 21.26
from Blythe to Los Angeles,
d = sqrt ((-4 - -9)² + (-33 - - 20)²) = 5.83
Adding the distances, we get 37.72.
Answer:
ordered pair(-2 , 3) is the solution
Step-by-step explanation:
y=x+5
y=-2x-1
x+5 = -2x-1 substitution
x+5+2x-5 = -2x-1+2x-5
3x = -6
x = -2
y = -2+5 = 3
ordered pair(-2 , 3) is the solution
The interior angles of any triangle always sum to 180°.
In the triangle, angles C and D are labeled congruent, so the missing angle has measure
180° - 2 (6x - 5)°
This angle is supplementary to the one labeled (11x + 1)°, which means
180° = (11x + 1)° + (180° - 2 (6x - 5)°)
Solve for x :
180° = (11x + 1)° + 180° - 2 (6x - 5)°
0 = (11x + 1)° - 2 (6x - 5)°
0 = (11x)° + 1° - (12x)° + 10°
(12x - 11x)° = 1° + 10°
x° = 11°
x = 11
Answer:
a) 
b) The population increases 7.1% each year.
Step-by-step explanation:
The continuous population growth model is given by:
In which 
is the population after t years, 
is the initial population and r is the growth rate.
In this problem, we have that:
A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.
This means that 
a) Write a function to model the population increase.
b) By what percent does the populaiion increase each year?
So the population increases 7.1% each year.
The average acceleration of an object is calculated as the final speed minus the initial speed divided by the elapsed time.
So:
Where
= final speed
= initial speed
= elapsed time.
Thus:
The acceleration of the cyclist is:
a = 2.667
The acceleration of the car is:
a = 3.75 
The average acceleration of the car is higher than the average acceleration of the cyclist.
