Answer:
- Elvira's speed: 3.0 mph
- Aletheia's speed: 2.4 mph
Step-by-step explanation:
Let "e" and "a" represent the speeds of Elvira and Aletheia, respectively. Then the total distance they cover is ...
distance = speed × time
(1/2)e + (2/3)a = 3.1
And the relationship between their speeds is ...
e - a = 0.6
__
To solve this system, we can double the first equation and subtract the second to get ...
2(1/2e +2/3a) -(e -a) = 2(3.1) -(0.6)
7/3a = 5.6 . . . . . . . . . . simplify
a = (3/7)(5.6) = 2.4 . . . multiply by 3/7
e = a +0.6 = 3.0 . . . . . Elvira's speed is 0.6 mph more than Aletheia's
Elvira's walking speed is 3.0 miles per hour; Aletheia's is 2.4 miles per hour.
Answer:
E)3
Step-by-step explanation:
4/3-1=2
3+1/2=2
Answer:
x = 
± 
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( - )x + 
= - 9 +
(x - )² = 
( take the square root of both sides )
x - = ± 
= ± ( add
x = ± = 
Answer:
PLZ HELP
Step-by-step explanation:
Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?
x = 2
y = −0.75x + 9.5
y = 1.33x + 1.66
x = 8
