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:
5. D: (-4,3] R: (5,-4] 7. D: (-1, 4] R: ( 5, -5]
Step-by-step explanation:
The domain is the point most to the left, and the point most to the right on the graph. The range is the point highest up and the point lowest down on the graph. You make a parentheses when the circle is hollow, but use a bracket when the circle is filled.
Answer:
Step-by-step explanation:
MX = XN
5r² + 2r + 52 = 4r² + 12r + 27
5r² - 4r² + 2r - 12r + 52 - 27 = 0
r² - 10r + 25 = 0
(r - 5)² = 0
r - 5 = 0
r = 5
4r² + 12r + 27
4•5² + 12•5 + 27
4•25 + 60 + 27
100 + 60 + 27
187
The Second one
I hope I helped you.
All angles in a triangle add to 180 so
B = 180 - 90 - A
B = 90 - 20.8
B = 69.2
Can find b with tangent of A
tangent is opposite over adjacent.
opposite to A = 20.8 is 11.2 and adjacent is b
tan(20.8) = 11.2 / b
b = 11.2 / tan (20.8)
b = 29.5
c can be found with sine of A
sin(20.8) = 11.2 / c
c = 11.2 / sin(20.8)
c = 31.5
B = 69.2°, b = 29.5, c = 31.5
