? the coordinates of a, b, c, and d are a (-6, 1), b (-9, 4), c (-1, 1), and d (-7, 6). how are ab←→ and cd←→ related? they are
balandron [24]
AB :
(-6,1)(-9,4)
slope = (4 - 1) / (-9 - (-6) = 3 / -3 = - 1
CD:
(-1,1)(-7,6)
slope = (6 - 1) / (-7 - (-1) = -5/6
different slopes....slopes are not negative reciprocals...means they are not perpendicular, parallel, or coincident. These lines will intersect at one point.
Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
Answer:
43 minutes
Step-by-step explanation:
- <em>Let cycling speed be x and driving speed be y</em>
<u>Equations as per given, considering same distance in both cases:</u>
- 19x + 8y = 13x + 10y
- 19x - 13x = 10y - 8y
- 6x = 2y
- 3x = y
We see that driving speed is 3 times greater than cycling speed
Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:
- 19 + 24 = 43 minutes or
- 13 + 10*3 = 43 minutes is the time to cycle between A and B
Answer:
1360
Step-by-step explanation:
First, you do all the operations inside the parenthesis, and then you multiply the two. Also, remember the order of operations. Multiplication always comes before addition and subtraction.
(2.5x10-8)(9x10-10)
(25 - 8)(90 - 10)
(17)(80) = 17x80 = 1360
