Answer:
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Step-by-step explanation:
Let x = Courtney's walking speed
then
(x + 1) = Brandi's walking speed
:
Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time
6.5/x + 1 = 5/x
Cross multiply
6.5x= 5(x+1)
6.5x= 5x + 5
6.5x - 5x = 5
1.5x = 5
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
Note that:
(x + 1) = Brandi's walking speed
3.33mph + 1 = 4.33mph
Therefore,
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Answer:
(-2, -1)
Step-by-step explanation:
This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.
The x-coordinate of the vertex is given by the formula
-b -4
x = --------- which here has the numerical value x = -------- = -2
2a 2
Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:
y = (-2)^2 + 4(-2) + 3 = -1
The vertex is at (-2, -1).
Answer:
AD||BC
Step-by-step explanation:
Given:
m∠3=m∠B
And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel
Hence the lines AD and BC are parallel
AD||BC !
Answer:
it would be the last one
Step-by-step explanation:
hope it helps