Answer:
-68/7
Step-by-step explanation:
slope1 of Car 1 that pass (-5,-8) (2,7)
= (y1-y2)/(x1-x2)=(2-(-5))/(7-(-8))=7/15
Slope2 of car 2 that pass (5,1) (10,y)
slope 1 and slope2 are perpendicular =>slope 2 =-15/7
make slope2 y=(-15/7)x+b
for it pass(5,1) => 1=(-15/7)5+b =>b=82/7 => y=(-15/7)x+82/7
put (10,y) in => y=(-15/7) 10+82/7=-68/7
Answer:
Step-by-step explanation:
(2u+3u)(u+v)-2u+3v
=2u(u+v)+3u(u+v)-2u+3v
=2u^2+2uv+3u^2+3uv-2u+3v
=5u^2+5uv-2u+3v
Answer:
n = 1 2/5
Step-by-step explanation:
-21 + 70n = 77
Add 21 to each side
-21+21 + 70n = 77 +21
70n = 98
Divide each side by 70
70n/70 = 98/70
n =98/70
n = 70/70 +28/70
n = 1 + 2/5
n = 1 2/5
Answer:
x is 0
Step-by-step explanation:
subtract the number 3 5 and 8 then combine like terms and 8 on both sides of the equation then simplify after that divide both sides of the equation by the same term then simplify
77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.