Answer:
a - neither b - perpendicular
Step-by-step explanation:
put them in desmos and look at the lines
Maddie :
(1,100),(2,80)
slope (rate of change) = (80 - 100) / (2 - 1) = -20/1 = -20
Caitlin :
y = -18x + 120......slope (rate of change) = -18
To determine which rate of change is greater, take the absolute value of the slopes.
Maddy : | -20 | = 20
Caitlin : | -18 | = 18
the greater rate of change is the one with the larger absolute value....so that would be Maddy...function 1 shows a greater rate of change because Maddie spends 20 each month and Caitlin spends 18 each month
Answer: -31
Step-by-step explanation: 1.) Plug in -6 for c
2.) equation will then be: 6(-6)+5
3.) use PEMDAS: multiply first then addition
4.) 6(-6) equals -36
5.) add -36+5 which equal -31
Therefore your answer should be -31
Answer:
Step-by-step explanation:
first we need to find the slope bu using the slope formula and ur two sets of points
slope = (y2 - y1) / (x2 - x1)
(7,1)...x1 = 7 and y1 = 1
(-12,-6)....x2 = -12 and y2 = -6
now we sub
slope = (-6 - 1) / (-12 - 7) = -7/-19 = 7/19
now...in y = mx + b form, the slope will be in them position
y = mx + b
slope(m) = 7/19
use either of ur points.....(7,1)...x = 7 and y = 1
now we sub and find b, the y int
1 = 7/19(7) + b
1 = 49/19 + b
1 - 49/19 = b
19/19 - 49/19 = b
- 30/19 = b <======= ur y int
so ur equation is : y = 7/19x - 30/19
The distance from (-2,1) to (6,1) is 8 units
The distance from (6,1) to (6,-3) is 4 units
The distance from (6,-3) to (9,-3) is 3 units
Now add 'em up: 8 + 4 + 3 = 15
The length of the biking trail is 15 units long!
Hope that helps!
